Question: 95. (20 POINTS). A simple random sample of size 36 is drawn. The sample mean = 19.6, and the sample standard deviation S =

95. (20 POINTS). A simple random sample of size 36 is drawn.

95. (20 POINTS). A simple random sample of size 36 is drawn. The sample mean = 19.6, and the sample standard deviation S = 5.2. a) Construct a 96% confidence interval. b) Construct a 90% confidence interval. How does decreasing the level of confidence affect the margin of error? c) Construct a 90% confidence interval with the size of sample 30. How does decreasing the size of sample affect the margin of error. d) Construct a 90% confidence interval with size of sample 28.

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