Exam 13: Nonparametric Methods

The sign test is a test about a population median that is valid for any sample size and population shape.

Which of the following statements about nonparametric methods is correct?

Which one of the following nonparametric methods requires that we carry out a paired difference experiment?

For eight randomly selected communities, the following table lists the per capita tea consumption (in litres) and the per capita coffee consumption (in litres) Tea Coffee 32.2 3.1 29.4 4.4 35.3 2.3 34.9 1.7 29.9 1.4 28.7 1.2 26.8 1.2 41.4 3.0 -Calculate the rank correlation coefficient when tea consumption = x and coffee consumption = y

The fire marshal has stipulated that the room capacity for a particular room is to be no more than 100 on the average.A random sample of the room's occupancy rate for 9 days had the following number of people: 144,85,90,120,150,105,93,130 and 115.Assume the population of room occupancy counts is not normal.The fire marshal wants to determine if there is significant evidence to conclude that the room has had more than 100 people on average.Which one of the following tests is appropriate for this problem?

In a Wilcoxon Rank Sum Test,when two or more observations are equal,we assign to each tied observation a rank equal to the ______ of the consecutive ranks.

In an effort to improve productivity in its factory,a firm recently instituted a training program for its workers.One of the work crews consisted of 14 workers.Seven workers from this crew were selected at random to attend the training course.All seven workers selected successfully completed the training course.The remaining seven workers served as a control group and did not attend the training course.Three months after the training course,a supervisor who did not know which employees attended the training course was asked to rank all 14 employees in terms of their productivity.A rank of 14 indicates the most productive employee in the crew while a rank of one indicates the least productive worker. Trained Ranks Untrained Ranks 7 6 12 2 14 9 4 3 8 1 13 5 10 11 -At a = .05,can it be concluded that training was beneficial in improving productivity?

Five years ago, the average starting salary of a new university graduate with a major in marketing was $34,000. A random sample of 10 graduates from this year's graduating class of a local university yielded the following starting salaries in thousands of dollars: 28, 36, 25, 37, 35, 24, 38, 45, 39, 36. The population of starting salaries in marketing is not normally distributed. The local university wants to determine if the median starting salary for marketing graduates has increased in the last five years. -Using a = .05,can we conclude that the starting salaries increased in the last five years?

At the $\alpha$ = .01 level of significance,test the claim that the four newspapers have the identical distributions of readability level.

Assume that the following data set is not normally distributed. (21, 18, 4, 9, 14, 16, 17, 12, 15, 8, 7, 5) -If H_a: M_d ¹ 7,then the p-value is:

The Wilcoxon signed rank test is a nonparametric test.

In order to perform the ________________ test,all of the observations in p samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.After ranking,sum of the ranks for each of the p samples are calculated.