Ruman A.

asked • 12/20/21

b. Determine the​ p-value and interpret its meaning. The​ p-value is

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8​ ounces, 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 selected​ periodically, 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 0.052 ounce. Complete parts​ (a) and​ (b).



PLS ANSWR THESE TWO:


b. Determine the​ p-value and interpret its meaning. The​ p-value is


Interpret the meaning of the​ p-value. Choose the correct answer below.


A. The​ p-value is the probability of not rejecting the null hypothesis when it is false.

B. The​ p-value is the probability of obtaining a sample mean that is equal to or more extreme than

0.003 ounce above 8.17 if the null hypothesis is false.

C. The​ p-value is the probability of obtaining a sample mean that is equal to or more extreme than

0.003 ounce below 8.17 if the null hypothesis is false.

D. The​ p-value is the probability of obtaining a sample mean that is equal to or more extreme than

0.003 ounce away from 8.17 if the null hypothesis is true


Jon S.

Did you try to perform a z-test for single mean? Fr a two-sided test, D would be the correct choice. A is a beta error (failing to reject the null hypothesis when it is false). B and C would be for right-tailed and left-tailed tests.
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12/20/21

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