Question

10.2

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 437

gram setting. It is believed that the machine is overfilling the bags. A 37 bag sample had a mean of 441 grams. Assume the population standard deviation is known to be 21. Is there sufficient evidence at the 0.05

level that the bags are overfilled?

Step 2 of 6 : Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6 : one tail or two tailed

Step 4 of 6 : Find the P-value of the test statistic. Round your answer to four decimal places.

Step 5 of 6 : Identify the level of significance for the hypothesis test.

Answer 1

Solution: Step 2 of 6 : Find the value of the test statistic.

Answer: The test statistic is given below:

  

  

Therefore the value of test statistic is

Step 3 of 6 : one tail or two tailed

Answer: One tail

Step 4 of 6 : Find the P-value of the test statistic.

Answer: The P-value of the test statistic is

Step 5 of 6 : Identify the level of significance for the hypothesis test.

Answer: The level of significance for the hypothesis test is 0.05