A random sample of 100 observations from a population with standard deviation 11

Question

A random sample of 100 observations from a population with standard deviation 11.07 yielded a sample mean of 91.9. 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:

(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

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. There is insufficient evidence to reject the null hypothesis

B. Reject the null hypothesis

C. None of the above

Explanation / Answer

1) here std error =std deviaiton/(n)1/2 =11.07/(100)1/2 =1.107

hence a) test statistic z =(X-mean)/std deviation =(91.9-90)/1.107 =1.7164

b) p value =0.0430

c) A. Reject the null hypothesis

2)

a) test statistic z =(X-mean)/std deviation =(91.9-90)/1.107 =1.7164

b) p value =0.0861

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

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.