The manager of a Lay\'s Potato Chip packaging plant is concerned that bags are b
ID: 2955619 • Letter: T
Question
The manager of a Lay's Potato Chip packaging plant is concerned that bags are being overfilled. The mean weight of chips put into the bags on the production line is supposed to be 28.3 grams. The manager selects a random sample of 6 bags from the production line; he carefully weighs the contents of each bag; the weights are as follows (in grams):29.3, 28.2, 29.1, 28.7, 28.9, 28.5.
Assume that the distribution of the weight of chips put into bags can be approximated with a normal model.
Perform the appropriate hypothesis test at significance level a = .05 and answer the following questions. Calculate the sample mean y and sample standard deviation s to 2 decimal places.
Question 1. What is the value of the test statistic t ?
Question 2. Choose the correct statement concerning the P-value for this test.
P-value > .05 P-value < -1.96 P-value = .05 .025 < P-value < .05 .01 < P-value < .025 P-value < 0.0001 P-value > 1.645
Question 3. What is an appropriate conclusion for this hypothesis test?
a) Reject H0: mu = 28.3; there is sufficient evidence to conclude that the mean fill of the bags is greater than 28.3 grams.
b) Do not reject H0: mu = 28.3; there is insufficient evidence to conclude that the mean fill of the bags is significantly greater than 28.3
Question 4. What type of error might you be making?
4
a) Type I error
b) Type II error