A researcher wanted to find out if there was difference between older movie goers and younger movie

Question:

A researcher wanted to find out if there was difference between older movie goers and younger movie goers with respect to their estimates of a successful actor€™s income. The researcher first identified Samuel L. Jackson as the top money maker based on data provided at www.boxofficemojo.com. Jackson€™s total gross earnings for 72 films was $5,016.9 million (an average of$69.7 million per film). The researcher then asked a random sample of older movie goers (50-60 years) and a random sample of younger movie goers (20-30 years) to give their best estimate of Samuel L. Jackson€™s average earnings per film. Carry out a nondirectional Mann-Whitney U Test on the estimates given by the two samples to find out if the distributions are equal. Follow the steps given below the table and use a significance level of .05.

Estimate of Samuel L. Jackson€™s
Average Earnings Per Film
(in millions)

Older Movie Goers ............................................ Younger Movie Goers
$40 .............................................................................$80
$50 ...........................................................................$100
$200 ...........................................................................$90
$8 ...............................................................................$50
$2 .................................................................................$1
$10 ...............................................................................$6
$12 .............................................................................$15
$15 .............................................................................$60
$20 ...........................................................................$300
$50 .............................................................................$40

a. Present the null hypothesis.

b. Present the alternative hypothesis.

c. Identify the critical value of U by referring to Table E in your textbook.

d. Present the decision rule.
e. Calculate U.

f. Present a statistical decision.

g. Present a conclusion in the context of the research situation.

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Related Book For

Statistics

ISBN: 9781119254515

11th Edition

Authors: Robert S. Witte, John S. Witte

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