Exam 19: Nonparametric Methods

Exhibit 19-5 It has been hypothesized that there is no difference in the mathematical ability of men and women.To test this hypothesis,it was decided 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. -Refer to Exhibit 19-5.The standard deviation ( $\sigma$ _T)is

Exhibit 19-1 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. -Refer to Exhibit 19-1.At 95% confidence,the null hypothesis should

The labeling of parts as "defective" or "non-defective" is an example of

Exhibit 19-2 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 19-2.The mean and the standard deviation of the sampling distribution of the number of students who preferred to get out early are

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.

The Spearman rank-correlation coefficient for 20 pairs of data when $\Sigma$ d_i² = 50 is.

Exhibit 19-6 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 19-6. $\sigma$ in this problem is

Exhibit 19-2 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 19-2.To test the null hypothesis,the appropriate probability distribution to use is the

Exhibit 19-2 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 19-2.The null hypothesis should be

A nonparametric test would be used if

Exhibit 19-3 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 19-3.The p-value for this test is

The manager of a company believes that differences in sales performance depends upon the salesperson's age.Independent samples of salespeople were taken and their weekly sales record is reported below. a.State the null and alternative hypotheses. b.At 95% confidence,test the hypotheses.

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

The following data show the preference of 20 people for a candidate to a public office.A "+" indicates a preference for the Democratic candidate,and a "-" indicates a preference for the Republican candidate. With $\alpha$ = 0.05,test for a significant difference in the preference for the candidates.

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

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.

Exhibit 19-2 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 19-2.The test statistic based on the number of students who preferred to get out early equals

In a questionnaire,respondents are asked to mark their marital status.Marital status is an example of the

Temperature is an example of a variable that uses

The level of measurement that allows for the rank ordering of data items is