Question

A random sample of 500 of a certain brand of cola was taken to see whether...

A random sample of 500 of a certain brand of cola was taken to see whether the mean weight was 16 fluid ounces as indicated on the container. For the 500 sampled, the mean was found to be 15.9988 with a standard deviation of 0.0985. Does this brand of cola have a population mean of 16 fluid ounces?

What is the p-value for this hypothesis test?
What is the test statistic for this hypothesis test?
What is the critical value of this hypothesis test?
What is the decision of the test?

Options:

A.

Reject Ho because the test statistic is in the rejection region and the p-value is less than alpha.

B.

2.21

C.

-0.2724

D.

2.575

E.

1.08

F.

1.96

G.

0.1393

H.

(1.6223, 1.6331)

I.

1.645

J.

-0.5364

K.

(1.6116, 1.6166)

L.

0.2146

M.

Fail to reject Ho because the test statistic is not in the critical region and the p-value is greater than alpha.

N.

1.96

O.

0.7854

P.

Reject Ho because the test statistic is not in the rejection region and the p-value is less than alpha.

Q.

Fail to reject Ho because the test statistic is not in the rejection region and the p-value is less than alpha.

R.

(1.6113, 1.6168)

Homework Answers

Answer #1
test stat t ='(x-μ)*√n/sx= -0.2724
p value      =tdist(0.2724,499,2) = 0.7854

1)  p-value for this hypothesis test =0.7854

2)test statistic for this hypothesis test =0.2724

3)critical value of this hypothesis test : (level of significance not given ; if it is 0.05 then critical value =1.96 , if 0.10 then critical value =1.645)

4)  decision of the test

M.

Fail to reject Ho because the test statistic is not in the critical region and the p-value is greater than alpha.

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