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A quality control engineer wanted to estimate the mean weight (in grams) of M&M candies being produced on a certain machine in the factory. After collecting an appropriate random sample of M&M candies, he obtained the following weights:

.81 .86 .85 .79 .98 .84

.9 .87 .77 .82 .86 .87

.87 .88 .94 .86 .96 .82

.88 .98 .75 .86 .93 .82

.77 .88 .88 .86 .86 .84

(a) (15) Create a 95% confidence interval for the mean weight of M&M candies.

(b) (5) The mean weight is supposed to be 0.85 grams. Using your results from part (a), does the equality control engineer have reason to be concerned about the machine in question?

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