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.
5.58 
5.72 
4.8 
4.80 

5.02 
4.68 
4.74 
5.19 

5.34 
4.76 
4.56 
5.54 
(a) Determine a point estimate for the population mean.
A point estimate for the population mean is _________.
(Round to two decimal places as needed.)
(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.)
A. There is a 95% probability that the true mean pH of rain water is between ________and _______.
B. If repeated samples are taken, 95% of them will have a sample pH of rain water between ______and _______.
C. There is 95% confidence that the population mean pH of rain water is 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.)
A. If repeated samples are taken, 99% of them will have a sample pH of rain water between _________and _________.
B. There is 99% confidence that the population mean pH of rain water is between ________and ________.
C. There is a 99% probability that the true 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 ______________
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