Exam 17: Introduction to Nonparametric Statistics

All Wilcoxon signed rank tests are two-tailed tests since we are testing whether the population median is the exact center of the population distribution.

The critical value for a Kruskal Wallis test is an F value from the F-distribution.

In a Mann-Whitney U test,the test statistic will be equal to the sum of the ranks from sample one,or sample two,whichever is larger.

A claim was recently made that stated that the median income for male and female graduates is the same for those graduating with a degree in operations management.The following sample data were collected: In employing the Mann-Whitney U test,the U test statistic for the males is 43.5

In order to determine whether the median distance for the X-Special golf ball exceeds the median distance for the best-selling golf ball,six golfers were selected and asked to hit each ball with their driver.The distance was recorded.The following data were observed. Based on these data,and testing at an alpha = 0.025 level,the critical value for the Wilcoxon Matched Pairs Signed Rank test is 2.

If a Mann-Whitney U test was performed and U₁ = 50 and U₂ = 40,if the sample from population 1 was 10,the sample size from population 2 was:

In order to determine whether the median distance for the X-Special golf ball exceeds the median distance for the best-selling golf ball,six golfers were selected and asked to hit each ball with their driver.The distance was recorded.The following data were observed. Based on these,the appropriate test is the Kruskal-Wallis one-way analysis of variance.

The Wilcoxon signed rank test is used to test which of the following type of hypotheses?

Recently,a legislative committee commissioned a study of incomes in a western state.At issue was whether the ratings of the legislature's performance differed between rural citizens and city residents.A random sample of 25 city residents and 35 rural residents was asked to rate the performance of the legislature on a scale of 1 to 100.The analysts believe that the population distribution of ratings would be highly skewed so they decided to use the Mann-Whiney U test to test whether there is a difference in median ratings by the two groups.Given this information,which of the following is the correct critical value if the test is to be conducted at the .10 level of significance?

In conducting the Wilcoxon signed rank test,after collecting the sample data the next step is to find the sample median and subtract this value from each data value to obtain the deviations.

In conducting a Kruskal-Wallis one-way analysis of variance,the test statistic is assumed to have approximately which distribution when the null hypothesis is true?

If we are interested in testing to determine whether the center of three or more populations is equal when the data in the samples are ordinal,what is the appropriate test to conduct?

A survey was recently conducted in which random samples of car owners of Chrysler,GM,and Ford cars were surveyed to determine their satisfaction.Each owner was asked to rate overall satisfaction on a scale of 1 (poor)to 1000 (excellent).The following data were recorded: If the analysts are not willing to assume that the population ratings are normally distributed and will use the Kruskal-Wallis test to determine if the three companies have different median ratings,what is the correct conclusion if the test is to be conducted using an alpha = .05 level?

The basic logic of the Wilcoxon signed rank test is that if about half the data values fall above the hypothesized median,and about half fall below,the null hypothesis should not be rejected.

A survey was recently conducted in which random samples of car owners of Chrysler,GM,and Ford cars were surveyed to determine their satisfaction.Each owner was asked to rate overall satisfaction on a scale of 1 (poor)to 1000 (excellent).The following data were recorded: If the analysts are not willing to assume that the population ratings are normally distributed and will use the Kruskal-Wallis test to determine if the three companies have different median ratings,what is correct test statistic for these data?

In the finding the critical value for the Wilcoxon signed rank test,what does "n" represent?

The critical value for a one-tailed Mann-Whitney U test with sample sizes of n₁ = 10 and n₂ = 10 is 23 for a 0.05 level of significance.

In the Wilcoxon signed rank test for testing about a single population median,if the sample size is large (n > 20),the test statistic can be approximated by the standard normal distribution.

Consider the situation in which a human resources manager wishes to determine whether the median number of days of sick leave per year is greater for female employees than for male employees.The following data represent random samples of males and females: If the manager is unwilling to assume that the populations are normally distributed,which of the following is the correct conclusion to reach if the test is conducted using a .05 level of significance?

The Mann-Whitney U test is a nonparametric test that is used to test whether two related populations have the same median.