What would be the critical value and decision for this test

What would be the critical value and decision for this test..

A shoe salesman wishes to check the validity of his supplier\'s claim that the average length of the adult male foot is 9.34 inches. He randomly samples 35 customers and finds their average foot length to be 9.01 inches. The standard deviation of foot length is known to be 0.75 inch. What would be the critical value and decision for this test if the salesman thinks the supplier\'s claim is too high? (Use a = 0.01.) - 2.3263. fail to reject H0 - 1.2816. reject H0 - 2.3263. reject H0 - 1.2816. fail to reject H0

Solution

critical value = -2.3263..when a= 0.01........

now, test statistic = ( sample mean - population mean) / ( s.d / sqrt ( n) )..n = sample size....

= ( 9.01 - 9.34 ) / ( 0.75 / sqrt ( 35) ) = -2.603075...

as, - 2.60 < - 2.3263..
hence , reject H0..

ANS= C) -2.3263 , reject H0....