Exam 18: Nonparametric Methods

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

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 (in minutes) below. ​ 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. At α = .05, the null hypothesis should

When using the Kruskall-Wallis Test for nonparametric methods, if each sample is at least five, then you can use the _____ distribution for your approximation.

A nonparametric test would be used if

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 (in minutes) below. ​ At α = .05, the null hypothesis should

A survey of male and female students at a university showed the following ranking of 13 professors in the management department based on teaching expertise. ​ Do the rankings given by the female students agree with the rankings given by the male students at the university level? Use α = .05.

For the Wilcoxon signed-rank test,

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 (in minutes) below. ​ The test statistic equals

Sixteen 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 null hypothesis that is being tested is

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

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. ​ Use the Kruskal-Wallis test to determine if there is a significant difference in the performance of the students from the three universities. Let α = .05.

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 mean and the standard deviation, respectively, of the sampling distribution of the number of students who preferred going out early are

A nonparametric version of the parametric analysis of variance test is the _____ test.

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 α = .05, test for a significant difference in the preference for the candidates.

Two groups of students were asked to rank the nine activities sponsored by the Student Government Association on campus based on effectiveness. The following table shows their rankings. ​ Determine the Spearman rank-correlation coefficient.

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 mean (μW) is

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 p-value for testing the hypotheses is

The Spearman rank-correlation coefficient is a correlation measure based on

The collection of statistical methods that require assumptions about the population is known as _____ methods.