Exam 18: Nonparametric Methods

Fifteen people were given two types of cereal, Brand X and Brand Y. Two people preferred Brand X and thirteen people preferred Brand Y. We want to determine whether or not customers prefer one brand over the other. To test the null hypothesis, the appropriate probability distribution to use is

It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. Thirty-eight had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H₀: Median = $70,000. The p-value for this test is

Two employers (A and B) ranked five candidates for a new position based on their eligibility. Their rankings of the candidates are shown below. ​ Compute the Spearman rank-correlation coefficient.

It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. Thirty-eight had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H₀: Median = $70,000. The test statistic has a value of

Two faculty members ranked 13 candidates for scholarships based on overall academic performance. Calculate the Spearman rank-correlation coefficient and test for the significance of the population rank-correlation coefficient. Use a .02 level of significance.

It has been hypothesized that there is no difference in the mathematical ability of men and women. To test this hypothesis, decision was taken to use the Mann-Whitney-Wilcoxon test. A sample of men and women were given math tests. The scores on the tests are given below. ​ The null hypothesis is to be tested at the 5% level. The decision rule is to reject the null hypothesis if

Fifteen people were given two types of cereal, Brand X and Brand Y. Two people preferred Brand X and thirteen people preferred Brand Y. We want to determine whether or not customers prefer one brand over the other. The p-value for this test is

A nonparametric method for determining the differences between two populations based on matched samples where only preference data is required is the _____ test.

From the courthouse records, it is found that in 60 divorce cases, the filing for divorce was initiated by the wife 41 times. Using the sign test, test for a difference in filing between husbands and wives. Let α = .05. Hint: Use the continuity correction factor.

The level of measurement that allows for the rank ordering of categorical data items in nonparametric procedures is _____ measurement.

When ranking the absolute differences in a Wilcoxon signed-rank test, the value of the difference that receives a rank of 1 is the

Three universities in your state have decided to administer the same comprehensive examination to the recipients of MBA degrees. From each institution, a random sample of MBA recipients has been selected and given the test. The following table shows the scores of the students from each university. ​ ​ Using the Kruskal-Wallis test to determine the mean ranks for each university sampled.

The Spearman rank-correlation coefficient for 25 pairs of data when Σd_i² = 50 is

For the Wilcoxon signed-rank test, ties among absolute differences are assigned the​

If the assumption can be made that the populations all have the same shape, the Kruskal-Wallis test becomes​ a test for the

Students in statistics classes were asked whether they preferred a 10-minute break or to allow them go out of class 10 minutes early. In a sample of 150 students, 40 preferred a 10-minute break, 80 preferred going out 10 minutes early, and 30 had no preference. We want to determine if there is a difference in students' preferences. The test statistic based on the number of students who preferred going out early equals (Use the continuity correction factor.)

If a null hypothesis that states that two populations are identical is rejected using a nonparametric test, then it is safe to assume that

It has been hypothesized that there is no difference in the mathematical ability of men and women. To test this hypothesis, decision was taken to use the Mann-Whitney-Wilcoxon test. A sample of men and women were given math tests. The scores on the tests are given below. ​ To test the null hypothesis, the appropriate probability distribution to use is

The following data show the test scores of six individuals on a standardized test before and after attending a preparation seminar for the test. ​ Use the Wilcoxon signed-rank test in order to determine whether or nor the seminar has been effective. Hint: This is a one tailed test. Let α = .05.

Fifteen people were given two types of cereal, Brand X and Brand Y. Two people preferred Brand X and thirteen people preferred Brand Y. We want to determine whether or not customers prefer one brand over the other. At α = .01, the null hypothesis should