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(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

(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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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1) increases or decreases

2) margin of error or sample size or point estimate

3) increases as well or decreases as well

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. (Use ascending order. Round to two decimal places as needed.) OA. There is a 95% probability that the true mean pH of rain water is between B. There is 95% confidence that the population mean pH of rain water is between 4.80 and 5.30 OC. If repeated samples are taken, 95% of them will have a sample pH of rain water between and and 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. If repeated samples are taken, 99% of them will have a sample pH of rain water between OB. There is a 99% probability that the true mean pH of rain water is between C. There is 99% confidence that the population mean pH of rain water is between 4.69 and 5.41 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 5.30 5.02 5.29 This makes sense since the 5.72 4.59 4.76 4.89 4.74 4.56 4.80 5.19 5.70 0
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. Click the icon to view the table of critical t-values. (Use ascending order. Round to two decimal places as needed.) OA. There is a 95% probability that the true mean pH of rain water is between B. There is 95% confidence that the population mean pH of rain water is between 4.80 and 5.30 OC. If repeated samples are taken, 95% of them will have a sample pH of rain water between and and 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. If repeated samples are taken, 99% of them will have a sample pH of rain water between OB. There is a 99% probability that the true mean pH of rain water is between C. There is 99% confidence that the population mean pH of rain water is between 4.69 and 5.41 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 5.30 5.02 5.29 This makes sense since the 5.72 4.59 4.76 4.89 4.74 4.56 4.80 5.19 5.70 0
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