Question: The following data represent the pH of rain for a random sample of 12 rain dates in Tucker County, West Virginia. A normal probability plot

The following data represent the pH of rain for a random sample of 12 rain dates in Tucker County, West Virginia. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers.

(a) Determine a point estimate for the population mean pH of rainwater in Tucker County.
(b) Construct and interpret a 95% confidence interval for the mean pH of rainwater in Tucker County, West Virginia.
(c) Construct and interpret a 99% confidence interval for the mean pH of rainwater in Tucker County, West Virginia.
(d) What happens to the interval as the level of confidence is increased? Explain why this is a logical result.

5.05 4.58 5.19 4.80 4.77 4.77 5.72 4.75 5.02 4.74 4.76 4.56

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