stats 2 hanus
The following information was obtained from matched samples taken from two populations. Assume the population of differences is normally distributed. Method 1 Method 2 7 5 5 9 6 8 7 7 5 6 The point estimate for the difference between the means of the two populations (Method 1 - Method 2) is -1. 0. -4. 2.
-1
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information. 1 2 x bar 82 88 The point estimate for the difference between the means of the two populations is 58.5. 9. -9. -6.
-6.
The results of a recent poll on the preference of shoppers regarding two products are shown below. Product Shoppers surveyed Shoppers favoriting this product A 800 560 B 900 612 The point estimate for the difference between the two population proportions in favor of this product is .07. .68. .44. .02.
.02.
The degrees of freedom for a table with 6 rows and 3 columns is 18. 15. 6. 10.
10.
The degrees of freedom for a data table with 12 rows and 12 columns is 144. 121. 12. 120.
121.
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. Stores Card Major Credit Card sample size 64 49 sample mean $140 $125 population standard deviation $10 $8 A point estimate for the difference between the mean purchases of all users of the two credit cards is 2. 18. 265. 15.
15
The F ratio in a completely randomized ANOVA is given by MSTR/MSE. MST/MSE. MSE/MSTR. MSE/MST.
MSTR/MSE.
If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of items in population 2, the null hypothesis should state p1 - p2 < 0. null hypothesis should state p1 - p2 > 0. alternative hypothesis should state p1 - p2 > 0. alternative hypothesis should state p1 - p2 < 0.
alternative hypothesis should state p1 - p2 > 0.
An experimental design where the experimental units are randomly assigned to the treatments is known as factor block design. random factor design. completely randomized design. randomized treatment design.
completely randomized design.
The number of degrees of freedom associated with the chi-square distribution in a test of independence is number of sample items minus 1. number of populations minus 1. number of rows minus 1 times number of columns minus 1. number of populations minus number of estimated parameters minus 1.
number of rows minus 1 times number of columns minus 1.
If there are three or more populations, then it is possible to test for equality of three or more population proportions. impossible to test for equality of the three population proportions, because chi-square tests deal with only two populations. customary to use a t distribution to test for equality of the three population proportions. reasonable to test for equality of multiple population proportions using chi-square lower tail tests.
possible to test for equality of three or more population proportions.
The standard error of x1-x2 is the pooled estimator of x1 - x2. variance of the sampling distribution of x1-x2 . standard deviation of the sampling distribution of x1-x2 . margin of error of x1-x2 .
standard deviation of the sampling distribution of x1-x2 .
The ANOVA procedure is a statistical approach for determining whether or not the means of two samples are equal. two or more samples are equal. two populations are equal. three or more populations are equal.
three or more populations are equal.
The test for goodness of fit, test of independence, and test of multiple proportions are designed for use with categorical data. bivariate data. quantitative data. ordinal data.
categorical data.
The sampling distribution of - is approximated by a normal distribution if _____ are all greater than or equal to 5. n1p2, p2(1 - n2), n2p1, p1(1 - n1) n1p1, p1(1 - n1), n2p2, p2(1 - n2) n1p2, n1(1 - p2), n2p1, n2(1 - p1) n1p1, n1(1 - p1), n2p2, n2(1 - p2)
n1p1, n1(1 - p1), n2p2, n2(1 - p2)
If we are testing for the equality of three population means, we should use the test statistic t. test statistic z. test statistic F. test statistic χ2.
test statistic F.
The following table shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. democrats 100 republicans 120 green party 80 We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed. The number of degrees of freedom associated with this problem is 2. 3. 300. 299.
2.
The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances. sample 1 sample 2 Sample Mean 45 42 Sample Variance 85 90 Sample Size 10 12 The point estimate for the difference between the means of the two populations is 0. 2. 3. 15.
3.
Which of the following is not a required assumption for the analysis of variance? The random variable of interest for each population has a normal probability distribution. The variance associated with the random variable must be the same for all populations. At least 2 populations are under consideration. Populations under consideration have equal means.
Populations under consideration have equal means.
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 due to error is SSE/(nT - k). SSTR/(nT - k). SSE/(k - 1). SSTR/k.
SSE/(nT - k).
When an analysis of variance is performed on samples drawn from k populations, the mean square due to treatments (MSTR) is SSTR/nT. SSTR/(nT - 1). SSTR/k. SSTR/(k - 1).
SSTR/(k - 1).
In the ANOVA, treatments refer to experimental units. different levels of a factor. the dependent variables. statistical applications.
different levels of a factor.
In an ANOVA procedure, a term that means the same as the term "variable" is factor. treatment. replication. within-variance.
factor.
The independent variable of interest in an ANOVA procedure is called a partition. treatment. response. factor.
factor.
When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as corresponding samples. matched samples. independent samples. pooled samples.
matched samples.
A population where each of its element is assigned to one and only one of several classes or categories is a multinomial population. Poisson population. normal population. binomial population.
multinomial population.
When developing an interval estimate for the difference between two population means with sample sizes of n1 and n2, n1 must be equal to n2. n1 must be smaller than n2. n1 must be larger than n2. n1 and n2 can be of different sizes.
n1 and n2 can be of different sizes.