A random sample of 100 observations from a population with standard deviation 18

ID: 3357066 • Letter: A

Question

A random sample of 100 observations from a population with standard deviation 18.91 yielded a sample mean of 93.5.

1. Given that the null hypothesis is =90 and the alternative hypothesis is >90 using =.05, find the following:

(a) Test statistic =

(b) P - value:

A. There is insufficient evidence to reject the null hypothesis

B. Reject the null hypothesis

C. None of the above

2. Given that the null hypothesis is =90 and the alternative hypothesis is 90 using =.05, find the following:

(a) Test statistic =
(b) P - value:
(c) The conclusion for this test is:

A. Reject the null hypothesis
B. There is insufficient evidence to reject the null hypothesis
C. None of the above

a) here std error =std deviaiton/(n)1/2 =18.91/(100)1/2 =1.891

test statistic z=(X-mean)/std error =(93.5-90)/1.891=1.8509

b) p value for above test stat =0.0321

c)B. Reject the null hypothesis

a)Test statistic = =1.8509

b) P - value =2*0.0321 =0.0642

c)B. There is insufficient evidence to reject the null hypothesis

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