Suppose that we are to conduct the following hypothesis test: H0:=1000 H1:>1000

Question

Suppose that we are to conduct the following hypothesis test:

H0:=1000

H1:>1000

Suppose that you also know that =240, n=85, x¯=1036, and take =0.01. Draw the sampling distribution, and use it to determine each of the following:

A. The value of the standardized test statistic:

Note: For the next part, your answer should use interval notation. An answer of the form (,a) is expressed (-infty, a), an answer of the form (b,) is expressed (b, infty), and an answer of the form (,a)(b,) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic:

C. The p-value

D. Your decision for the hypothesis test:

A. Do Not Reject H1.

B. Do Not Reject H0.

C. Reject H0.

D. Reject H1.

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =26.03

A) test stat =(X-mean)/std errror=(1036-1000)/26.03 =1.3829

B) rejection region:(2.326 ,infty)

C) p value =0.0833

D)B. Do Not Reject H0.

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