Question Help 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. 5.72 4.38 4.74 5.05 4.80 4.68 5.02 5.19 4.76 4.91 5.34 4.56 (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 95% confidence that the population mean pH of rain water is between and B. There is a 95% probability that the true mean pH of rain water is between and O C. 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.) A. There is a 99% probabil ity that the true mean pH of rain water is between and B. There is 99% confidence that the population mean pH of rain water is between and C. If repeated samples are taken, 99% of them will have a sample pH of rain water 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
Question Help 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. 5.72 4.38 4.74 5.05 4.80 4.68 5.02 5.19 4.76 4.91 5.34 4.56 (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 95% confidence that the population mean pH of rain water is between and B. There is a 95% probability that the true mean pH of rain water is between and O C. 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.) A. There is a 99% probabil ity that the true mean pH of rain water is between and B. There is 99% confidence that the population mean pH of rain water is between and C. If repeated samples are taken, 99% of them will have a sample pH of rain water 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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
5.72
4.38
4.74
5.05
4.80
4.68
5.02
5.19
4.76
4.91
5.34
4.56
(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 95% confidence that the population mean pH of rain water is between
and
B. There is a 95% probability that the true mean pH of rain water is between
and
O C. 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.)
A. There is a 99% probabil ity that the true mean pH of rain water is between
and
B. There is 99% confidence that the population mean pH of rain water is between
and
C. If repeated samples are taken, 99% of them will have a sample pH of rain water 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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