I need guidance on how to calculate these problems correctly. I think my calculations are off.

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selectedperiodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.168 ounces, with a sample standard deviation of 0.054 ounce. Complete parts(a) and(b).

a. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.01 level ofsignificance.)

State the null and alternative hypotheses.

H0:

H1:

Round to four decimal places as needed. Use a comma to separate answers asneeded.)

Determine the test statistic.

The test statistic is

(Round to four decimal places asneeded.)

State the conclusion.

Do not reject or Reject H0. There is insufficient or sufficient evidence to conclude the population mean amount is different from 8.17 ounces.

b. Determine thep-value and interpret its meaning.

Thep-value is

(Round to four decimal places asneeded.)

Interpret the meaning of thep-value. Choose the correct answer below.

A.

Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.002 ounce above 8.17 if the null hypothesis is false.

B.

Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.002 ounce away from 8.17 if the null hypothesis is true.

C.

Thep-value is the probability of not rejecting the null hypothesis when it is false.

D.

Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.002 ounce below 8.17 if the null hypothesis is false.