The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below. Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean. A point estimate for the population mean is. (Round to two decimal places as needed.) ... 5.30 5.02 5.34 5.72 4.60 4.76 (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is a 95% probability that the true mean pH of rain water is between and OB. There is 95% confidence that the population mean pH of rain water is between and OC. If repeated samples are taken, 95% of them will have a sample pH of rain water between and (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) OA. There is a 99% probability that the true mean pH of rain water is between. and OB. If repeated samples are taken, 99% of them will have a sample pH of rain water between and OC. There is 99% confidence that the population mean pH of rain water is between and (d) What happens to the interval as the level of confidence is changed? Explain why this is a logical result. As the level of confidence increases, the width of the interval This makes sense since the 4.89 4.74 4.56 4.80 5.19 5.68 D

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