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 4.38 5.02 4.57 4 74 461 4.76 4 56 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 4.97 (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) O A. If repeated samples are taken, 95% of them will have a sample pH of rain water between and O B. There is a 95% probability that the true mean pH of rain water is between and OC. 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.) O A. 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 O C. There is 99% confidence that the population mean pH of rain water is between and

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
icon
Related questions
Question
100%
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
4.38
4.74
4 80
5 19
5 69
5.02
457
461
4.76
4.56
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 4.97
(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)
O A. If repeated samples are taken, 95% of them will have a sample pH of rain water between and
O B. There is a 95% probability that the true mean pH of rain water is between and
O 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.)
O A. There is a 99% probability that the true mean pH of rain water is between and
O B. If repeated samples are taken, 99% of them will have a sample pH of rain water between and
O C. There is 99% confidence that the population mean pH of rain water is between and
Id) What hannens to the interval as the level of confidence is changed? Explain why this is a logical result.
Transcribed Image Text: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 4.38 4.74 4 80 5 19 5 69 5.02 457 461 4.76 4.56 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 4.97 (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) O A. If repeated samples are taken, 95% of them will have a sample pH of rain water between and O B. There is a 95% probability that the true mean pH of rain water is between and O 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.) O A. There is a 99% probability that the true mean pH of rain water is between and O B. If repeated samples are taken, 99% of them will have a sample pH of rain water between and O C. There is 99% confidence that the population mean pH of rain water is between and Id) What hannens to the interval as the level of confidence is changed? Explain why this is a logical result.
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt