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# In a random sample of 150 music industry management majors, 75 rated a sense of humor as very important trait to their career performance.

In a random sample of 150 music industry management majors, 75 rated a sense of humor asvery important trait to their career performance. The same view was held by 81 of anindependent random sample of 180 professional golf management majors. Test at the 5%level against a two-sided alternative the null hypothesis that the population proportions ofmusic industry management and professional golf management majors who rate a sense ofhumor as very important are the same.

a) ( s 2 = (1 / n)∑ xi − x ) 2 = (1 / 10) * (8300.9) = 830.09 b)H0:Population variance is not significantly different from 525H1:population variance is greater than 525. χ2 = ns 2= 830.09 /...