Quiz: Chapter 8 Quiz Submit Quiz This Question: 5 pts 2 of 14 (0 complete) This

Question

Quiz: Chapter 8 Quiz Submit Quiz This Question: 5 pts 2 of 14 (0 complete) This Quiz: 38 pts possible test addresses the original claim. A simple random sample of 40 salaries of pr s $468,365. Use a 0.05 significance level to test the claim that the mean salary of a professional football coach is less than $500,000 What are the null and alternative hypotheses? has a mean of $416,434. The standard deviation of all salaries of professional football coaches ? B. HD: ?:5500,000 H H>$500,000 OD, Ho: ?:S500.000 tt, s500, 000 OA. Ho H>$500.000 H1: ?

Explanation / Answer

X?= 416434

n= 40

sigma= 468365

H0: u= 500000

H1: u< 500000 .................left tail test

alpha= 0.05 critical Z=-1.645

Test Statistics

Z= (X?-u)*sqrt(n)/s

=(416434-500000)*sqrt(40)/468365

=-1.128

P-value=P(Z<-1.128)= 0.129568879

rounded p-value= 0.12957

Decision making

P-value > Alpha Fail to reject H0

0.1295>0.05

Fail to reject H0, there is not enough evidence to support the claim that the mean salary of professional football coach is less than $500,000.

..................

answers

D)

H0: u= 500000

H1: u< 500000

alpha= 0.05

Test Statistics =-1.128

critical Z=-1.645

Fail to reject, there is not enough evidence to support the claim that the mean salary of professional football coach is less than $500,000.

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