ECO 351 Exam 2

In 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. This problem is an example of a _____. a. multinomial population b. uniformly distributed variable c. test for independence d. normally distributed variable

a. multinomial population

In a goodness of fit test, Excel's CHISQ.TEST function returns a _____. a. p-value b. chi-square test statistic c. chi-square critical value d. confidence interval estimate

a. p-value

The process of allocating the total sum of squares and degrees of freedom is called _____. a. partitioning b. factoring c. blocking d. replicating

a. partitioning

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

Individuals in a random sample of 150 were asked whether they supported capital punishment. The following information was obtained. Do You Support Capital Punishment? Yes 40, No 60, No Opinion 50. We 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. If the opinions are uniformly distributed, the expected frequency for each group would be _____. a. 1/3 b. .50 c. 50 d. .333

c. 50

In an analysis of variance problem, if SST = 120 and SSTR = 80, then SSE is _____. a. 200 b. 120 c. 80 d. 40

d. 40

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

a. 10

The F ratio in a completely randomized ANOVA is the ratio of _____. a. MSTR/MSE b. MST/MSE c. MSE/MST d. MSE/MSTR

a. MSTR/MSE

In factorial designs, the response produced when the treatments of one factor interact with the treatments of another in influencing the response variable is known as _____. a. interaction b. replication c. a factor d. the main effect

a. interaction

The mean square is the sum of squares divided by _____. a. its corresponding degrees of freedom b. the sample size c. the total number of observations d. its corresponding degrees of freedom minus1

a. its corresponding degrees of freedom

In 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. 105 c. 90 d. .35

b. 105

In an analysis of variance problem involving three treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is _____. a. 133.2 b. 14.8 c. 13.32 d. 30.0

b. 14.8

An experimental design where the experimental units are randomly assigned to the treatments is known as _____. a. systematic sampling b. completely randomized design c. random factor design d. factor block design

b. completely randomized design

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. SSE/k b. SSTR/(nT - k) c. SSE/(nT - k) d. SSE/(k - 1)

c. SSE/(nT - k)

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 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. Based upon this test, what can be concluded? a. The test is inconclusive. b. There is enough evidence to conclude that the proportions have changed significantly. c. There is enough evidence to conclude that the proportions have not changed significantly. d. The test should be done again to be certain of the results.

c. There is enough evidence to conclude that the proportions have not changed significantly.

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

c. two or more populations are equal

The table below gives beverage preferences for random samples of teens and adults. We 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. 8.4 b. 0 c. 82.5 d. 62.5

d. 62.5

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. at least 10 b. no more than 5 c. less than 2 d. at least 5

d. at least 5

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

d. factor

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

d. number of rows minus 1 times number of columns minus 1

In 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. .01 c. 4.38 d. .75

a. 4.29

Individuals in a random sample of 150 were asked whether they supported capital punishment. The following information was obtained. Do You Support Capital Punishment? Yes 40, No 60, No Opinion 50. We 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. 5.99147 b. 9.34840 c. 7.37776 d. 7.81473

a. 5.99147

The table below gives beverage preferences for random samples of teens and adults. We 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. There is enough evidence to conclude that age and drink preference is dependent. b. There is not enough evidence to conclude that age and drink preference is dependent. c. The test is inconclusive. d. The test should be done again to be certain of the results.

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

Individuals in a random sample of 150 were asked whether they supported capital punishment. The following information was obtained. Do You Support Capital Punishment? Yes 40, No 60, No Opinion 50. We 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 uniform. b. The test should be done again to be certain of the results. c. There is enough evidence to conclude that the distribution is not uniform. d. The test is inconclusive.

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

To determine whether the means of two populations are equal, _____. a. either a t test or an analysis of variance can be performed b. a t test must be performed c. a chi-square test must be performed d. an analysis of variance must be performed

a. either a t test or an analysis of variance can be performed

Individuals in a random sample of 150 were asked whether they supported capital punishment. The following information was obtained. Do You Support Capital Punishment? Yes 40, No 60, No Opinion 50. We 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 number of degrees of freedom associated with this problem is _____. a. 3 b. 2 c. 149 d. 150

b. 2

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

b. different levels of a factor

A population where each element of the population is assigned to one and only one of several classes or categories is a(n) _____. a. independent population b. multinomial population c. normal population d. Poisson population

b. multinomial population

In the analysis of variance procedure (ANOVA), factor refers to _____. a. different levels of a treatment b. the independent variable c. the dependent variable d. the critical value of F

b. the independent variable

A goodness of fit test is always conducted as a(n) _____. a. middle test b. upper-tail test c. lower-tail test d. two-tailed test

b. upper-tail test

The independent variable of interest in an ANOVA procedure is called _____. a. a partition b. a treatment c. a factor d. either a partition or a treatment

c. a factor

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

c. chi-square distribution

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

d. sampled populations have equal variances