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 8.175 ounces, with a sample standard deviation of 0.048ounce. 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.

(Note: ? represents one of the following ", >, , =, <, "

____ represents an integer

H₀ : ? ____

H₁ : ? ____

Identify the criticalvalue(s).

The criticalvalue(s) is(are) ______

Determine the test statistic.

The test statistic is _____

State the conclusion.

Pick one in each ( )

(Do not reject, Reject), H_0. There is (sufficient, insufficient) evidence to conclude the population mean amount is different from 8.17 ounces.

b. Determine thep-value and interpret its meaning.

Thep-value is ___

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

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

B. Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.005 ounce away from 8.17 if the null hypothesis is true.

C. Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.005 ounce below 8.17 if the null hypothesis is false.

D.Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.005 ounce above 8.17 if the null hypothesis is false.