Question: a) A course guarantees an increase in reading rate within 1 week in its advertisements. The instructor intends to draw a sample after the course.

a) A course guarantees an increase in reading rate within 1 week in its advertisements. The instructor intends to draw a sample after the course. Given the population standard deviation of the reading rate is 5.7 and the instructor wants to be 95 percent confident that the error is 1.1, what is the most conservative sample size needed in this case?
(b) As a quality controller of a manufacturing firm, Jane is concerned about the weight of the canned peas that has the stated weight of 450 grams produced by her company. In order to check the weight, she randomly took a sample of 51 cans of the canned peas from the production line and determined the mean weight was 449.58 grams with sample standard deviation of 0.88 grams. At the 5% level of significance, was the average weight of the canned peas normal?

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