Stats Final

Excel's ____ function is used to perform a goodness of fit test. a. CHISQ.DIST.RT b. NORM.S.DIST c. ZTEST d. TTEST

CHISQ.DIST.RT

Exhibit 13-1SSTR = 6,750H0: μ1 = μ2 = μ3 = μ4SSE = 8,000Ha: At least one mean is differentnT = 20 The mean square within treatments (MSE) equals _____. a. 1,687.5 b. 500 c. 400 d. 2,250

b. 500

If we are testing for the equality of 3 population means, we should use the _____. a. test statistic t b. test statistic χ2 c. test statistic z d. test statistic F

b. test statistic χ2

A goodness of fit test is always conducted as a(n) _____. a. lower-tail test b. middle test c. upper-tail test d. None of these answers are correct.

upper-tail test

The critical F value with 6 numerator and 60 denominator degrees of freedom at α = .05 is _____. a. 1.96 b. 2.25 c. 3.74 d. 2.37

2.25

Exhibit 13-6Part of an ANOVA table is shown below.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments64 8Within treatments (Error) 2 Total100 The number of degrees of freedom corresponding to between treatments is _____. a. 2 b. 18 c. 4 d. 3

4

Exhibit 12-2Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class.Freshmen83Sophomores68Juniors85Seniors64We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.Refer to Exhibit 12-2. If the distribution is the same as the previous year, the expected frequency of seniors is _____. a. 68 b. 20 c. 64 d. 60

60

Regression analysis was applied between sales (in $1000s) and advertising (in $100s), and the following regression function was obtained.ŷ = 500 + 4xBased on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is _____. a. $900,000 b. $900 c. $40,500 d. $505,000

a. $900,000

Exhibit 14-3Regression analysis was applied between sales data (in $1000s) and advertising data (in $100s), and the following information was obtained.ŷ = 12 + 1.8x n = 17SSR = 225SSE = 75Sb1 = 0.2683Refer to Exhibit 14-3. Using α = .05, the critical t value for testing the significance of the slope is _____. a. 2.131 b. 1.753 c. 2.120 d. 1.746

a. 2.131

Exhibit 14-3Regression analysis was applied between sales data (in $1000s) and advertising data (in $100s), and the following information was obtained.ŷ = 12 + 1.8x n = 17SSR = 225SSE = 75Sb1 = 0.2683Refer to Exhibit 14-3. The t statistic for testing the significance of the slope is _____. a. 6.709 b. 1.96 c. .555 d. 1.80

a. 6.709

The least squares criterion is _____. a. min Σ(yi - ŷi)2 b. min Σ(yi - ȳ)2 c. min (Σyi - ŷi)2 d. min Σ(xi - yi)2

a. min Σ(yi - ŷi)2

The number of times each experimental condition is observed in a factorial design is known as a(n) _____. a. replication b. experimental condition c. factor d. partition

a. replication

In regression analysis, the independent variable is typically plotted on the _____. a. x-axis of a scatter diagram b. x-axis of a histogram c. y-axis of a histogram d. y-axis of a scatter diagram

a. x-axis of a scatter diagram

Exhibit 14-5You are given the following information about x and y.xIndependent VariableyDependent Variable1524334251Refer to Exhibit 14-5. The least squares estimate of b0 (intercept)equals ______. a. 5 b. 6 c. 1 d. -1

b. 6

In an analysis of variance where the total sample size for the experiment is nT and the number of populations is k, the mean square within treatments is _____. a. SSTR/(nT - k) b. SSE/(nT - k) c. SSE/k d. SSE/(k - 1)

b. SSE/(nT - k)

Exhibit 13-1SSTR = 6,750H0: μ1 = μ2 = μ3 = μ4SSE = 8,000Ha: At least one mean is differentnT = 20 The null hypothesis _____. a. should not be rejected b. should be rejected c. was designed incorrectly d. None of these answers are correct.

b. should be rejected

Which of the following is correct? a. SSR = SSE + SST b. SST = (SSR)2 c. SST = SSR + SSE d. SSE = SSR + SST

c. SST = SSR + SSE

In order NOT to violate the requirements necessary to use the chi-square distribution, each expected frequency in a goodness of fit test must be _____. a. less than 2 b. at least 10 c. at least 5 d. no more than 5

c. at least 5

The numerical value of the coefficient of determination ______. a. is always smaller than the coefficient of correlation b. is always larger than the coefficient of correlation c. can be larger or smaller than the coefficient of correlation d. is negative if the coefficient of determination is negative

c. can be larger or smaller than the coefficient of correlation

In a residual plot against x that does NOT suggest we should challenge the assumptions of our regression model, we would expect to see a _____. a. parabolic band of points b. band of points having a slope consistent with that of the regression equation c. horizontal band of points centered near 0 d. widening band of points

c. horizontal band of points centered near 0

If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the estimated regression equation _____. a. is 4% b. can be any positive value c. is 16% d. is 40%

c. is 16%

It is possible for the coefficient of determination to be _____. a. larger than 1 b. less than 0 c. less than 1 d. All of these answers are correct, depending on the situation under consideration.

c. less than 1

A regression analysis between sales (y in $1000) and advertising (x in dollars) resulted in the following equation:ŷ = 50,000 + 6xThe above equation implies that an increase of _____. a. $1 in advertising is associated with an increase of $56,000 in sales b. $6 in advertising is associated with an increase of $6,000 in sales c. $1 in advertising is associated with an increase of $6 in sales d. $1 in advertising is associated with an increase of $6,000 in sale

d. $1 in advertising is associated with an increase of $6,000 in sales

Exhibit 14-5You are given the following information about x and y.xIndependent VariableyDependent Variable1524334251Refer to Exhibit 14-5. The least squares estimate of b1 (slope) equals _____. a. 6 b. 1 c. 5 d. -1

d. -1

A regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in the following equation:ŷ = 9 − 3xThe above equation implies that if the price is increased by $1, the demand is expected to _____. a. decrease by 3 units b. decrease by 6,000 units c. increase by 6 units d. decrease by 3,000 units

d. decrease by 3,000 units

Exhibit 12-3In order to determine whether a particular medication was effective in curing the common cold, one group of patients was given the medication, while another group received sugar pills. The results of the study are shown below.PatientsCuredPatientsNot CuredReceived medication7010Received sugar pills2050We are interested in determining whether the medication was effective in curing the common cold.Refer to Exhibit 12-3. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals _____. a. 7.81 b. 5.99 c. 3.84 d. 9.34

. 3.84

Exhibit 12-3In order to determine whether a particular medication was effective in curing the common cold, one group of patients was given the medication, while another group received sugar pills. The results of the study are shown below.PatientsCuredPatientsNot CuredReceived medication7010Received sugar pills2050We are interested in determining whether the medication was effective in curing the common cold.Refer to Exhibit 12-3. The number of degrees of freedom associated with this problem is _____. a. 149 b. 1 c. 3 d. 4

1

The degrees of freedom for a contingency table with 6 rows and 3 columns is _____. a. 18 b. 10 c. 6 d. 15

10

Exhibit 12-4In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether the proportions have changed, a random sample of 300 students from ABC University was selected. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.Refer to Exhibit 12-4. If the proportions are the same as they were in the past, the expected frequency for the Business College is _____. a. .3 b. 90 c. 105 d. .35

105

Exhibit 12-6The following shows the number of individuals in a random sample of 300 adults who indicated they support the new tax proposal.Political PartySupportDemocrats100Republicans120Independents80We are interested in determining whether the opinions of the individuals of the three groups are uniformly distributed.Refer to Exhibit 12-6. The number of degrees of freedom associated with this problem is _____. a. 300 b. 2 c. 299 d. 3

2

Exhibit 12-4In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether the proportions have changed, a random sample of 300 students from ABC University was selected. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.Refer to Exhibit 12-4. The calculated value for the test statistic equals _____. a. 4.29 b. 4.38 c. .01 d. .75

4.29

Exhibit 12-1Individuals in a random sample of 150 were asked whether they supported capital punishment. The following information was obtained.Do You SupportCapital Punishment?Number ofIndividualsYes40No60No Opinion50We are interested in determining whether the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.Refer to Exhibit 12-1. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals _____. a. 9.34840 b. 7.37776 c. 7.81473 d. 5.99147

5.99147

Exhibit 12-5The table below gives beverage preferences for random samples of teens and adults.BeverageTeensAdultsTotalCoffee50200250Tea100150250Soft drink200200400Other 50 50 1004006001,000We are asked to test for independence between age (i.e., adult and teen) and drink preferences.Refer to Exhibit 12-5. The value of the test statistic for this test for independence is_____. a. 82.5 b. 8.4 c. 0 d. 62.5

62.5

Exhibit 12-2Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class.Freshmen83Sophomores68Juniors85Seniors64We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.Refer to Exhibit 12-2. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals _____. a. 7.815 b. 1.645 c. 2.75 d. 1.96

7.815

Exhibit 12-5The table below gives beverage preferences for random samples of teens and adults.BeverageTeensAdultsTotalCoffee50200250Tea100150250Soft drink200200400Other 50 50 1004006001,000We are asked to test for independence between age (i.e., adult and teen) and drink preferences.Refer to Exhibit 12-5. With a .05 level of significance, the critical value for the test is _____. a. 1.645 b. 14.067 c. 7.815 d. 15.507

7.815

Exhibit 12-6The following shows the number of individuals in a random sample of 300 adults who indicated they support the new tax proposal.Political PartySupportDemocrats100Republicans120Independents80We are interested in determining whether the opinions of the individuals of the three groups are uniformly distributed.Refer to Exhibit 12-6. The calculated value for the test statistic equals_____. a. 0 b. 300 c. 8 d. 4

8

An important application of the chi-square distribution is _____. a. testing for the independence of two variables b. testing for equality of three or more population proportions c. testing for goodness of fit d. All of these answers are correct.

All of these answers are correct.

Exhibit 12-5The table below gives beverage preferences for random samples of teens and adults.BeverageTeensAdultsTotalCoffee50200250Tea100150250Soft drink200200400Other 50 50 1004006001,000We are asked to test for independence between age (i.e., adult and teen) and drink preferences.Refer to Exhibit 12-5. What can be concluded from this test? a. The test is inconclusive. b. There is enough evidence to conclude that age and drink preference is dependent. c. There is not enough evidence to conclude that age and drink preference is dependent. d. None of these answers are correct.

There is enough evidence to conclude that age and drink preference is dependent.

Exhibit 12-1Individuals in a random sample of 150 were asked whether they supported capital punishment. The following information was obtained.Do You SupportCapital Punishment?Number ofIndividualsYes40No60No Opinion50We are interested in determining whether the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.Refer to Exhibit 12-1. What conclusion should be made? a. There is enough evidence to conclude that the distribution is not uniform. b. The test is inconclusive. c. There is enough evidence to conclude that the distribution is uniform. d. None of these answers are correct.

There is enough evidence to conclude that the distribution is uniform.

Excel's CHISQ.DIST function can be used to perform _____. a. a test for equality of population means b. a test for equality of population proportions c. a goodness of fit test d. All of these answers are correct.

a goodness of fit test

Exhibit 14-2You are given the following information about x and y.xyIndependentDependentVariableVariable15 512 710 9 711Refer to Exhibit 14-2. The least squares estimate of b 1 equals _____. a. -0.7647 b. 21.4 c. -0.13 d. 16.412

a. -0.7647

Exhibit 14-5You are given the following information about x and y.xIndependent VariableyDependent Variable1524334251Refer to Exhibit 14-5. The point estimate of y when x = 10 is _____. a. -4 b. 4 c. 10 d. -10

a. -4

Exhibit 13-2Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments2,073.6 4 Between blocks6,000.0 51,200 Error 20 288 Total 29 The test statistic to test the null hypothesis equals _____. a. 1.8 b. 28.8 c. .432 d. 4.17

a. 1.8

Exhibit 14-4The following information regarding a dependent variable (y) and an independent variable (x) is provided.xy2413443658SSE = 6SST = 16Refer to Exhibit 14-4. The MSE is _____. a. 2 b. 3 c. 1 d. 4

a. 2

An ANOVA procedure is used for data obtained from five populations. Five samples, each comprised of 20 observations, were taken from the five populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are _____. a. 4 and 95 b. 5 and 20 c. 4 and 20 d. 4 and 99

a. 4 and 95

Exhibit 13-4In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided.SSTR = 200 (Sum Square Between Treatments)SST = 800 (Total Sum Square)The number of degrees of freedom corresponding to within treatments is _____. a. 60 b. 5 c. 4 d. 59

a. 60

The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is called _____. a. a residual b. a prediction interval c. the standard error d. the variance

a. a residual

If the coefficient of determination is equal to 1, then the coefficient of correlation _____. a. can be either -1 or 1 b. must also be equal to 1 c. can be any value between -1 and 1 d. must be -1

a. can be either -1 or 1

In regression and correlation analysis, if SSE and SST are known, then with this information the _____. a. coefficient of determination can be computed b. y-intercept can be computed c. slope of the line can be computed d. All of these answers are correct.

a. coefficient of determination can be computed

Data points having high leverage are often _____. a. influential b. sum of squares error c. residuals d. None of these answers are correct.

a. influential

An observation that has a strong effect on the regression results is called a(n) _____. a. influential observation b. residual c. sum of squares error d. None of these answers are correct.

a. influential observation

Exhibit 12-6The following shows the number of individuals in a random sample of 300 adults who indicated they support the new tax proposal.Political PartySupportDemocrats100Republicans120Independents80We are interested in determining whether the opinions of the individuals of the three groups are uniformly distributed.Refer to Exhibit 12-6. This test for goodness of fit _____. a. is an upper-tail test b. is a two-tailed test c. is a lower-tail test d. can be a lower-tail or upper-tail test

a. is an upper-tail test

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments64 Within treatments (Error)96 Total The conclusion of the test is that the means _____. a. may be equal b. are not equal c. are equal d. None of these answers are correct.

a. may be equal

The required condition for using an ANOVA procedure on data from several populations is that the _____. a. sampled populations have equal variances b. selected samples are dependent on each other c. sampled populations are all uniform d. sampled populations have equal means

a. sampled populations have equal variances

Exhibit 13-3To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.TreatmentObservation A20302533B22262028C40302822The null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct.

a. should not be rejected

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called _____. a. the regression model b. correlation analysis c. the correlation model d. None of these answers are correct.

a. the regression model

Exhibit 14-4The following information regarding a dependent variable (y) and an independent variable (x) is provided.xy2413443658SSE = 6SST = 16Refer to Exhibit 14-4. The coefficient of determination is _____. a. .7096 b. .625 c. .375 d. -.7906

b. .625

Exhibit 14-4The following information regarding a dependent variable (y) and an independent variable (x) is provided.xy2413443658SSE = 6SST = 16Refer to Exhibit 14-4. The least squares estimate of the y-intercept is ______. a. 1 b. 2 c. 3 d. 4

b. 2

Exhibit 13-4In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided.SSTR = 200 (Sum Square Between Treatments)SST = 800 (Total Sum Square)If at a 5% level of significance we want to determine whether or not the means of the five populations are equal, the critical value of F is _____. a. 19.48 b. 2.53 c. 4.98 d. 39.48

b. 2.53

Exhibit 13-6Part of an ANOVA table is shown below.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments64 8Within treatments (Error) 2 Total100 If at a 5% significance level we want to determine whether or not the means of the populations are equal, the critical value of F is _____. a. 2.90 b. 2.93 c. 5.80 d. 3.16

b. 2.93

Exhibit 13-3To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.TreatmentObservation A20302533B22262028C40302822The mean square between treatments (MSTR) equals _____. a. 1.872 b. 36 c. 34 d. 5.86

b. 36

In a completely randomized design involving four treatments, the following information is provided. Treatment 1Treatment 2Treatment 3Treatment 4Sample size50181517Sample mean32384248The overall mean (the grand mean) for all treatments is _____. a. 48.0 b. 37.3 c. 37.0 d. 40.0 e. None of these answers are correct

b. 37.3

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments64 Within treatments (Error)96 Total If at a 5% level of significance, we want to determine whether or not the means of the populations are equal, the critical value of F is _____. a. 3.16 b. 4.75 c. 19.41 d. 1.96

b. 4.75

Exhibit 13-4In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided.SSTR = 200 (Sum Square Between Treatments)SST = 800 (Total Sum Square)The sum of squares within treatments (SSE) is _____. a. 200 b. 600 c. 1,600 d. 1,000

b. 600

Exhibit 13-3To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.TreatmentObservation A20302533B22262028C40302822The null hypothesis is to be tested at the 1% level of significance. The critical value from the table is _____. a. 4.26 b. 8.02 c. 16.69 d. 99.39

b. 8.02

The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the _____. a. confidence interval estimate b. coefficient of determination c. standard error of the estimate d. correlation coefficient

b. coefficient of determination

A measure of the strength of the relationship between two variables is the _____. a. slope b1 of the estimated regression line b. correlation coefficient c. standard error of the estimate d. confidence interval estimate

b. correlation coefficient

In the ANOVA, treatment refers to _____. a. experimental units b. different levels of a factor c. applying antibiotic to a wound d. a factor

b. different levels of a factor

The mean square is the sum of squares divided by _____. a. the total number of observations b. its corresponding degrees of freedom c. its corresponding degrees of freedom minus1 d. None of these answers are correct.

b. its corresponding degrees of freedom

SSE can never be _____. a. equal to 0 b. larger than SST c. equal to 1 d. smaller than SST

b. larger than SST

A data point (observation) that does not fit the trend shown by the remaining data is called a(n) _____. a. point estimate b. outlier c. residual d. None of these answers are correct.

b. outlier

Exhibit 13-2Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments2,073.6 4 Between blocks6,000.0 51,200 Error 20 288 Total 29 The null hypothesis _____. a. should be revised b. should not be rejected c. should be rejected d. None of these answers are correct.

b. should not be rejected

In ANOVA, which of the following is NOT affected by whether or not the population means are equal? a. between-samples estimate of σ2 b. within-samples estimate of σ2 c. x̄ d. None of these answers are correct.

b. within-samples estimate of σ2

Exhibit 13-3To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.TreatmentObservation A20302533B22262028C40302822The null hypothesis for this ANOVA problem is _____. a. μ1 = μ2 = ... = μ12 b. μ1 = μ2 = μ3 c. μ1 = μ2 = μ3 = μ4 d. μ1 = μ2

b. μ1 = μ2 = μ3

Exhibit 14-3Regression analysis was applied between sales data (in $1000s) and advertising data (in $100s), and the following information was obtained.ŷ = 12 + 1.8x n = 17SSR = 225SSE = 75Sb1 = 0.2683Refer to Exhibit 14-3. Based on the above estimated regression equation, if advertising is $3,000, then the point estimate for sales (in dollars) is _____. a. $17,400 b. $66 c. $66,000 d. $5,412

c. $66,000

Exhibit 14-2You are given the following information about x and y.xyIndependentDependentVariableVariable15 512 710 9 711Refer to Exhibit 14-2. The sample correlation coefficient equals _____. a. -86.667 b. .9941 c. -.99705 d. .99705

c. -.99705

Exhibit 14-1A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).n = 10Σx = 55Σy = 55Σx2 = 385Σy2 = 385Σxy = 220Refer to Exhibit 14-1. The least squares estimate of b1 equals _____. a. 1 b. 11 c. -1 d. 5.5

c. -1

Exhibit 14-6You are given the following information about x and y.xIndependent VariableyDependent Variable4126 32 74 6Refer to Exhibit 14-6. The coefficient of determination equals _____. a. .4364 b. -.1905 c. .1905 d. -.4364

c. .1905

In a regression analysis, if SSE = 200 and SSR = 300, then the coefficient of determination is _____. a. .400 b. 1.500 c. .600 d. .667

c. .600

Exhibit 14-4The following information regarding a dependent variable (y) and an independent variable (x) is provided.xy2413443658SSE = 6SST = 16Refer to Exhibit 14-4. The least squares estimate of the slope is _____. a. 2 b. 3 c. 1 d. 4

c. 1

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments64 Within treatments (Error)96 Total The number of degrees of freedom corresponding to within treatments is _____. a. 15 b. 3 c. 12 d. 2

c. 12

Exhibit 13-5Part of an ANOVA table is shown below.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments180 3 Within treatments (Error) Total48018 If at a 5% level of significance, we want to determine whether the means of the populations are equal, the critical value of F is _____. a. 5.86 b. 19.48 c. 3.29 d. 2.53

c. 3.29

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments64 Within treatments (Error)96 Total The mean square between treatments (MSTR) is _____. a. 16 b. 36 c. 32 d. 8

c. 32

Exhibit 13-3To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below.TreatmentObservation A20302533B22262028C40302822The mean square within treatments (MSE) equals _____. a. 36 b. 1.872 c. 34 d. 5.86

c. 34

Exhibit 13-1SSTR = 6,750H0: μ1 = μ2 = μ3 = μ4SSE = 8,000Ha: At least one mean is differentnT = 20 The test statistic to test the null hypothesis equals _____. a. .84 b. .22 c. 4.5 d. 4.22

c. 4.5

Exhibit 13-4In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided.SSTR = 200 (Sum Square Between Treatments)SST = 800 (Total Sum Square)The mean square between treatments (MSTR) is _____. a. 10.00 b. 12.00 c. 50.00 d. 3.34

c. 50.00

When an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (MSTR) is _____. a. SSTR/nT b. SSTR/k c. SSTR/(k - 1) d. SSTR/(nT - 1)

c. SSTR/(k - 1)

In simple linear regression, r2 is the _____. a. estimated regression equation b. coefficient of correlation c. coefficient of determination d. sum of the squared residuals

c. coefficient of determination

A term that means the same as the term "variable" in an ANOVA procedure is _____. a. replication b. variance within c. factor d. treatment

c. factor

An experimental design that permits statistical conclusions about two or more factors is a _____. a. randomized design b. randomized block design c. factorial design d. completely randomized design

c. factorial design

Exhibit 13-5Part of an ANOVA table is shown below.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments180 3 Within treatments (Error) Total48018 The conclusion of the test is that the means _____. a. are not equal b. are equal to 50 c. may be equal d. None of these answers are correct.

c. may be equal

In testing for the equality of k population means, the number of treatments is _____. a. k-1 b. k c. nT - k d. nT

c. nT - k

Regression analysis is a statistical procedure for developing a mathematical equation that describes how _____. a. several independent and several dependent variables are related b. one independent and one or more dependent variables are related c. one dependent and one or more independent variables are related d. None of these answers are correct.

c. one dependent and one or more independent variables are related

A procedure used for finding the equation of a straight line that provides the best approximation for the relationship between the independent and dependent variables is ______. a. the mean squares method b. correlation analysis c. the least squares method d. the most squares method

c. the least squares method

The ANOVA procedure is a statistical approach for determining whether the means of _____. a. two samples are equal b. more than two samples are equal c. two or more populations are equal d. two or more samples are equal

c. two or more populations are equal

The sampling distribution for a goodness of fit test is the _____. a. chi-square distribution b. Poisson distribution c. t distribution d. normal distribution

chi-square distribution

Exhibit 14-1A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).n = 10Σx = 55Σy = 55Σx2 = 385Σy2 = 385Σxy = 220Refer to Exhibit 14-1. The coefficient of determination equals _____. a. -1 b. -0.5 c. 0 d. 1

d. 1

Exhibit 13-6Part of an ANOVA table is shown below.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween treatments64 8Within treatments (Error) 2 Total100 The mean square between treatments (MSTR) is _____. a. 64 b. 36 c. 15 d. 16

d. 16

Exhibit 13-1SSTR = 6,750H0: μ1 = μ2 = μ3 = μ4SSE = 8,000Ha: At least one mean is differentnT = 20 The mean square between treatments (MSTR) equals _____. a. 1,687.5 b. 400 c. 500 d. 2,250

d. 2,250

Exhibit 13-4In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided.SSTR = 200 (Sum Square Between Treatments)SST = 800 (Total Sum Square)The number of degrees of freedom corresponding to between treatments is _____. a. 60 b. 59 c. 5 d. 4

d. 4

If there is a very strong correlation between two variables, then the coefficient of correlation must be _____. a. either much larger than 1 or much smaller than 1 b. much smaller than 1, if the correlation is negative c. much larger than 1, if the correlation is positive d. None of these answers are correct.

d. None of these answers are correct.

In a simple regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then it must be true that _____. a. there is a negative correlation between x and y b. if x is increased, y must also increase c. there is a positive correlation between x and y d. None of these answers are correct.

d. None of these answers are correct.

If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on these data _____. a. is either 1 or -1, depending upon whether the relationship is positive or negative b. is 0 c. could be any value between -1 and 1 d. is 1

d. is 1

In a regression analysis, the variable that is used to predict the dependent variable ______. a. must have the same units as the variable doing the predicting b. usually is denoted by x c. is the dependent variable d. is the independent variable

d. is the independent variable

The primary tool or measure for determining whether the assumed regression model is appropriate is _____. a. the correlation coefficient b. the r2 value c. the F test d. residual analysis

d. residual analysis

The standardized residual is provided by dividing each residual by its _____. a. z-score b. mean residual c. corresponding x value d. standard deviation

d. standard deviation

The number of degrees of freedom for the appropriate chi-square distribution in a test of independence is _____. a. k - 1 b. dependent upon the statement of the null hypothesis c. n - 1 d. number of rows minus 1 times number of columns minus 1

number of rows minus 1 times number of columns minus 1

Exhibit 12-3In order to determine whether a particular medication was effective in curing the common cold, one group of patients was given the medication, while another group received sugar pills. The results of the study are shown below.PatientsCuredPatientsNot CuredReceived medication7010Received sugar pills2050We are interested in determining whether the medication was effective in curing the common cold.Refer to Exhibit 12-3. The null hypothesis _____. a. should not be rejected b. should be rejected c. should be revised d. None of these answers are correct.

should be rejected

Exhibit 12-2Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class.Freshmen83Sophomores68Juniors85Seniors64We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.Refer to Exhibit 12-2. The null hypothesis _____. a. was designed wrong b. should not be rejected c. should be rejected d. None of these answers are correct.

should not be rejected

The properties of a multinomial experiment include all of the following EXCEPT _____. a. the experiment consists of a sequence of n identical trials b. three or more outcomes are possible on each trial c. the trials are independent d. the probability of each outcome can change from trial to trial

the probability of each outcome can change from trial to trial