Exam 20: Nonparametric Tests

A company that produces financial accounting software wants to offer better training to its customers.The training is intended to decrease the amount of time required to do complicated accounting calculations.For seven individuals,the amount of time (in minutes)to complete a complicated calculation is determined before and after completing the new training. The p-value for the test is _____________.

An accountant wants to know if the property taxes paid by clients who live in the city are different from those who live in the county.The property taxes paid by five clients from the city (sample 1)and five clients from the county (sample 2)are shown below. To determine whether the medians of the taxes paid differ using the Wilcoxon rank-sum test,the competing hypotheses are ______________.

A career counselor is comparing the annual salary of executives in the manufacturing,finance,and engineering industries.The following table shows the sample size for each industry and the rank sum for the Kruskal-Wallis test. a.Specify the competing hypotheses to determine whether differences exist in the median annual salary of the three industries. b.What is the value of the Kruskal-Wallis test statistic H? c.At the 5% significance level,what is the decision and conclusion?

An accountant wants to know if the property taxes paid by clients who live in the city are different from those who live in the county.The property taxes paid by five clients from the city (sample 1)and five clients from the county (sample 2)are shown below. The value of the test statistic is _____.

An energy analyst wants to test if U.S.oil production is random over time.The analyst has monthly production values for the two years.The analyst finds 12 months are above the median,12 months are below the median,six runs are below the median,and five runs are above the median.Assume the R follows a normal distribution.The value of the test statistic is ______.

An energy analyst wants to test if U.S.oil production is random over time.The analyst has monthly production values for the two years.The analyst finds 12 months are above the median,12 months are below the median,six runs are below the median,and five runs are above the median.To test the random-walk hypothesis about oil production,the competing hypothesis are _________.

For the Spearman rank correlation test we can use the normal distribution approximation to implement a z test only if n is greater or equal to ___.

The Kruskal-Wallis test is always a _____-tailed test.

A fund manager wants to know if the annual rate of return is greater for growth stocks (sample 1)than for value stocks (sample 2).The fund manager collects data on the returns of growth and value funds.Below are the sample sizes and rank sums for the Wilcoxon rank-sum test. Using the critical value approach and α = 0.01,the appropriate conclusion is ____________.

A trading magazine wants to determine the number of hours stockbrokers work each week.In particular,the trading magazine wants to determine if the median number of hours worked per week differs from 100 hours.The magazine samples 18 traders.For the Wilcoxon signed-rank test,the value of the test statistic is T = T⁺ = 153.If T is assumed to follow a normal distribution,the value of the test statistic is _____.

Pearson's correlation coefficient is used as the nonparametric counterpart to the regular correlation coefficient formula.

A trading magazine wants to determine the number of hours stockbrokers work each week.In particular,the trading magazine wants to determine if the median number of hours worked per week differs from 100 hours.The magazine samples 18 traders.For the Wilcoxon signed-rank test,the value of the test statistic is T = T⁺ = 153.The p-value for the test is _______.

Which of the following is the sample Spearman rank correlation coefficient?

An energy analyst wants to test if U.S.oil production is random over time.The analyst has monthly production values for the two years.The analyst finds 12 months are above the median,12 months are below the median,six runs are below the median,and five runs are above the median.Assuming R has the standard normal distribution,the p-value for the test is _________.

Which of the following is the test statistic for the sign test?

Parametric tests typically assume the underlying population to be normally distributed.

When conducting a hypothesis test for the population median m is not equal to,greater than,or less than _____________m₀,the value of the population median postulated in the null hypothesis.

For the Wilcoxon rank-sum test with the sample sizes being at least 10,the test statistic can be assumed to follow a normal distribution with mean __________________________.

A fund manager wants to know if the annual rate of return is greater for growth stocks (sample 1)than for value stocks (sample 2).The fund manager collects data on the returns of growth and value funds.Below are the sample sizes and rank sums for the Wilcoxon rank-sum test. At the 1% significance level,the critical value is _____.

A magician has a coin that may or may not be fair.The results of 30 flips of the coin are H H T H T H H T H H T H H T H T H H H T T T T T H H H H H T.For the Wald-Wolfowitz runs test,the value of the total number of runs R is ________.