The following data represents 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. 5.58   5.72   4.38   4.80 5.02   5.16   4.74   5.19 5.34   4.76   4.56   5.30 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 blanks. (Use ascending order. Round to two decimal places as n

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following data represents 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.

5.58   5.72   4.38   4.80

5.02   5.16   4.74   5.19

5.34   4.76   4.56   5.30

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 blanks.

(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 between ___ and ___.

C) There is 95% confidence that the population mean pH of rain water is between ___ and ___.

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