Question

A consumer product magazine recently ran a story concerning the increasing prices of digital cameras. The story stated that digital camera prices dipped a couple of years ago, but now are beginning to increase in price because of added features. According to the story, the average price of all digital cameras a couple of years ago was $215.00. A random sample of cameras was recently taken and entered into a spreadsheet. It was desired to test to determine if that average price of all digital cameras is now more than $215.00. The information was entered into a spreadsheet and the following printout was obtained:

One-Sample T Test

Null Hypothesis: µ = 215

Alternative Hyp: µ > 215

95% Conf Interval

VariableMean    SE      Lower         Upper         T          DF            P

Camera Price   245.23    15.620   212.740      277.720     1.94     21            0.0333

Cases Included 22

Is a sample size n = 22 large enough to utilize the central limit theorem in this inferential procedure?

1. Yes, since the central limit theorem works whenever means are used

2. No, since n < 30

3. Yes, since both np and nq are greater than or equal to 15

4. No, since either np or nq is less than 15

Answer 1

No, the sample size is not large enough because n < 30.

Option B is correct.