Exam 19: Nonparametric Methods

A clothing manufacturer purchased some newly designed sewing machines in the hopes that production would be increased.The production records of a random sample of workers are shown below. Use the Wilcoxon signed-rank test to determine whether the new machines have significantly increased production.Use a .05 level of significance.

From the courthouse records,it is found that in 60 divorce cases,the filing for divorce was initiated by the wife 41 times.Using the sign test,test for a difference in filing between husband and wives.Let $\alpha$ = 0.05

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

Two groups of students were asked to rank the activities sponsored by the Student Government Association on campus.The following show their rankings. Determine the Spearman rank-correlation coefficient and test for a significant correlation with $\alpha$ = 0.05.

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.The test statistics is

The speed of an automobile is an example of a variable that uses the

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

In a sample of 200 racquetball players,120 indicated they prefer Penn racquetballs,75 favored Ektelon,and 5 were indifferent.We want to use the sign test to determine if there is evidence of a significant difference in the preferences for the two types of racquetballs. a.Provide the hypotheses to be tested. b.Compute the mean. c.Compute the standard deviation. d..At 95% confidence,test to determine if there is evidence of a significant difference in the preferences for the two types of racquetballs.

A sign test is a

Two faculty members ranked 12 candidates for scholarships.Calculate the Spearman rank-correlation coefficient and test it for significance.Use a .02 level of significance.

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.To test the null hypothesis,the appropriate probability distribution to use 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.The null hypothesis that is being tested 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.p-value is

Exhibit 19-4 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 below. -Refer to Exhibit 19-4.The p-value for this test is

The level of measurement that is simply a label for the purpose of identifying an item is

A PTA group wishes to determine whether a barrage of letters sent to the local station has reduced the amount of violence broadcast between the hours of 4 P.M.and 9 P.M.The results of a survey of viewers are given here. Carry out a sign test to determine whether or not the letters were effective in reducing the amount of violence during the 4 to 9 p.m.period.Use a .05 level of significance.Be sure to state the null and alternative hypotheses.

A collection of statistical methods that generally requires very few,if any,assumptions about the population distribution is known as

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

A nonparametric method for determining the differences between two populations based on two matched samples where only preference data is required is the

The scale of measurement that is used to rank order the observation for a variable is called the