Exam 18: Nonparametric Methods

Exhibit 18-6 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. -Refer to Exhibit 18-6. The p-value for this test is

A survey of male and female students showed the following ranking of 12 professors in the management department: Do the rankings given by the female students agree with the rankings given by the male students? Use $\alpha$ = 0.05.

In a sample of 300 shoppers, 160 indicated they prefer fluoride toothpaste, 120 favored nonfluoride, and 20 were indifferent. At a 0.05 level of significance, test for a difference in the preference for the two kinds of toothpaste.

A comprehensive statistics examination is given to 16 students in order to determine whether or not there is a significant difference in the performance of students majoring in the various disciplines of Business Administration. The following data show the scores of the 16 students (5 majoring in accounting, 6 majoring in management, and 5 majoring in marketing). At $\alpha$ = 0.05 level of significance, test to see if there is a significant difference in the performance of the students in the three majors.

Two faculty members ranked 12 candidates for scholarships. Calculate the Spearman rank-correlation coefficient and test whether the professors had significantly different rankings. Use the .02 level of significance.

Exhibit 18-3 A company advertises that food preparation time can be significantly reduced with the Handy Dandy Slicer. A sample of 12 individuals prepared the ingredients for a meal with and without the slicer. You are given the preparation times below. -Refer to Exhibit 18-3. The test statistic equals

We want to see if the workers on the day and night shifts differ significantly in their productivity levels. A sample of workers from both shifts was taken. a.State the null and alternative hypotheses. b.Test the null hypothesis at the 5% level of significance.

A nonparametric version of the Parametric analysis of variance test is the

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

A nonparametric test for the equivalence of two populations would be used instead of a parametric test for the equivalence of the population parameters if

A large company that develops, distributes, and grades national standardized examinations wants to pilot test a new examination. A group of 20 students is used for the study. Each student is given two versions of the examination. The order in which the students take the examinations is randomly assigned. The students' scores follow. Use Excel to test to determine if the differences in the students' scores between the two versions of the examination are significantly different. Use $\alpha$ = .10.

Exhibit 18-6 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. -Refer to Exhibit 18-6. To test the null hypothesis, the appropriate probability distribution to use is

Exhibit 18-5 Forty-one individuals from a sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the proportions of opponents and proponents of legalized abortion. -Refer to Exhibit 18-5. The null hypothesis should be

The sales records of two branches of a department store over the last 12 months are shown below. (Sales figures are in thousands of dollars.) Use $\alpha$ = 0.05 and test to determine if there is a significant difference in the populations of the sales of the two branches.

Rebecca Roush, Manager of the Home Square (home improvement) store in Athens, would like to determine whether an employee's number of years practicing his/her trade prior to working in retail is the same for employees in the plumbing, electrical, and paint departments.Data on the number of trade-practice years were available for 20 employees and are listed below. Test whether the three populations are identical in terms of number of years of trade-practical experience. Use $\alpha$ = .05.

The level of measurement that is a label for the purpose of identifying an item is

A nonparametric test would be used if

Exhibit 18-6 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. -Refer to Exhibit 18-6. The null hypothesis should be

Exhibit 18-2 Students in statistics classes were asked whether they preferred a 10-minute break or to get out of class 10 minutes early. In a sample of 150 students, 40 preferred a 10-minute break, 80 preferred to get out 10 minutes early, and 30 had no preference. We want to determine if there is a difference in students' preferences. -Refer to Exhibit 18-2. The hypothesis is to be tested at the 5% level of significance. The decision rule is not to reject the null hypothesis if

Exhibit 18-3 A company advertises that food preparation time can be significantly reduced with the Handy Dandy Slicer. A sample of 12 individuals prepared the ingredients for a meal with and without the slicer. You are given the preparation times below. -Refer to Exhibit 18-3. The null hypothesis should be