Question

Question 7 2 pts The Generalized Aptitude Test, G.A.T., is a brand new untried measure of general reasoning. The scores on this type of test usually have a normal distribution but with and unknown. An independent random sample of size n = 64 yields the following statistics, SM = 319.4 and Sx = 83.7. The designers of the test intended the mean value to be 350. Find out if the results support the hypothesis that the mean value is less than 350 at the a = - .05 level of significance. Find null and alternative hypotheses for this test. The answer is in the form (Ho, Ha). For this exam,"<>" means not equal. In this context sM is the sample mean. (H <> 350, M <> 350) (H = 350, H > 350) O lu = 350, u<> 350 O (n = 350, M < 350)

Answer 1

7)

Given

n=64, sM=sample mean = 319.4 ,Sx= 83.7

Given $\mu$ = 350 ,

Here the hypothesis that the mean value is less than 350 at the $\alpha$ = 0.05 level of significance.

So null and alternative hypothesis of the test are

H0 : $\mu$ = 350 vs H1 : $\mu$ <350 ,

Required answer is ( $\mu$ = 350 , $\mu$ <350 )

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