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.

Table E CRITICAL VALUES OF MANN-WHITNEY U FINDING p-VALUE If observed U is .larger than light number, p> .05 .between light and dark numbers, p