1. Following are the weights of 5 boxes of cookies, each of which is labeled as

Question

1. Following are the weights of 5 boxes of cookies, each of which is labeled as containing 16 ounces. Assume that the population of weights is normally distributed.

15.91, 14.40 , 14.88, 16.07, 14.79

A quality control inspector wants to know whether the mean weight is actually less than 16 ounces. Compute the P-value of the test.

2.

In the last question, an quality control inspector wants to know whether the mean weight of the boxes of cookies is actually less than 16 ounces. What is the conclusion at the 0.05 level of significance?

Question options:

There is evidence to conclude that the mean weight is actually less than 16 ounces.

There is not enough evidence to conclude that the mean weight is actually less than 16 ounces.

There is evidence to conclude that the mean weight is not less than 16 ounces.

There is not enough evidence to conclude that the mean weight is not less than 16 ounces.

There is evidence to conclude that the mean weight is actually less than 16 ounces.

There is not enough evidence to conclude that the mean weight is actually less than 16 ounces.

There is evidence to conclude that the mean weight is not less than 16 ounces.

There is not enough evidence to conclude that the mean weight is not less than 16 ounces.

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 16
HA : < 16

Hypothesis test results:

Hence,

1. P - value = 0.0373

2. Since p - value < 0.05, we reject Ho. Hence,

There is evidence to conclude that the mean weight is actually less than 16 ounces.

Option A is correct.

Variable Sample Mean Std. Err. DF T-Stat P-value Data 15.21 0.32946927 4 -2.3977957 0.0373

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