Exam 18: Nonparametric Methods

Exhibit 18-4 It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below. -Refer to Exhibit 18-4. The null hypothesis is to be tested at the 5% level. The decision rule is not to reject the null hypothesis if

Exhibit 18-1 Ten people were given two types of cereal, Brand X and Brand Y. Three people preferred Brand X, 5 people preferred Brand Y, and 2 people were undecided. We want to determine whether or not the two products are equal. -Refer to Exhibit 18-1. The null hypothesis that is being tested is

Which of the following tests would not be an example of nonparametric method?

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 test statistics is

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

Three managers received the following performance ratings from a group of 15 employees. Use Excel to perform the appropriate test at $\alpha$ = .05 to determine whether there is a significant difference in the performance ratings for the mangers.

Excel's ____ function can be used to conduct a sign test.

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 test statistic based on the number of students who preferred to get out early equals

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. To test the null hypothesis, the appropriate probability distribution to use is the

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 null hypothesis should be

Exhibit 18-1 Ten people were given two types of cereal, Brand X and Brand Y. Three people preferred Brand X, 5 people preferred Brand Y, and 2 people were undecided. We want to determine whether or not the two products are equal. -Refer to Exhibit 18-1. To test the null hypothesis, the appropriate probability distribution to use is

Statistical methods that generally require very few, if any, assumptions about the population distribution are known as

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 test statistic has a value of

Exhibit 18-1 Ten people were given two types of cereal, Brand X and Brand Y. Three people preferred Brand X, 5 people preferred Brand Y, and 2 people were undecided. We want to determine whether or not the two products are equal. -Refer to Exhibit 18-1. The null hypothesis should be

The president of a company wants to see if the new anti-smoking campaign is having any influence on his employees. A sample of 100 employees who smoked prior to the campaign is taken. Thirty-six employees said they smoked less, 15 employees said they smoked more, and 49 employees said there was no change. a.State the null and alternative hypotheses. b.Test the null hypothesis at the 1% level of significance.

Two faculty members (X and Y) ranked five candidates for scholarships. The rankings are shown below. Compute the Spearman rank-correlation and test it for significance. Let $\alpha$ = 0.05.

Two employers (A and B) ranked five candidates for a new position. Their rankings of the candidates are shown below. Compute the Spearman rank-correlation and test it for significance. Let $\alpha$ = 0.05.

A PTA group wishes to determine whether a barrage of letters sent to the local station has reduced the amount of violence broadcast between the hours of 4 and 9 P.M. The results of a survey of viewers are given here. Carry out a sign test to determine whether or not the letters were effective in reducing the amount of violence during the 4 to 9 p.m. period. Use a .05 level of significance. Be sure to state the null and alternative hypotheses.

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 husband and wives. Let $\alpha$ = 0.05

Exhibit 18-4 It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below. -Refer to Exhibit 18-4. To test the null hypothesis, the appropriate probability distribution to use is