Question

Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages be accurate. The distribution of calorie content has been shown to be approximately normally distributed. A random sample of 12 frozen dinners of a certain type was selected and the calorie content of each one was determined to be 255, 244, 239, 242, 265, 245, 259, 248, 225, 226, 251, and 232.

(a) Determine the sample mean and sample standard deviation for these 12 randomly selected frozen dinners.

x=244.25 s=12.47. I found these solutions. Just do (b). Using classical Approach

(b) The stated mean calorie content on the box is 240. Construct an appropriate test with conclusion to see if the actual mean content differs from the stated value at an α = 0.05 significance level. Do not use the T-test feature of your calculator.

Answer 1

From the given data