Question: Some frozen food dinners were randomly selected from this week's production and destroyed in order to measure their actual calorie content. The claimed calorie content is 200. Here are the calorie counts for each dinner:
221, 198, 203, 223, 196, 202, 219, 189, 208, 215, 218, 207
a. Estimate the mean calorie content you would have found had you been able to measure all packages produced this week.
b. Approximately how different is the average calorie content (for the sample) from the mean value for all dinners produced this week?
c. Find the 99% confidence interval for the mean calorie content for all packages produced this week.
d. Is there a significant difference between claimed and measured calorie content? Justify your answer.