Small Sample Mean Problem. The maker of Mini-Oats Cereal uses an automated packa

Question

Small Sample Mean Problem. The maker of Mini-Oats Cereal uses an automated packaging machine to pack its 24 ounce box of cereal. At the end of every shift 16 boxes are selected at random and tested to see if the equipment needs to be readjusted. After one shift, a sample of 16 boxes yielded the following data. mean = 24.33 s = .64 n = 16.

If we were to conduct a test to see if the sample estimate is different from the company’s expected weight of 24 oz. at an alpha level = .05, what is (are) the critical t-value(s) for this test?

Explanation / Answer

We will use T test here because population standard deviation is unknown

For critical value, use excel function

T.INV(0.95+(0.05/2),16-1)

= 2.131

Since this is two tailed test other critical value will be -2.131

Option D is Correct

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