MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
5.05
5.02
5.34
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.)
O A. There is a 95% probability that the true mean pH of rain water is between and
O B. If repeated samples are taken, 95% of them will have a sample pH of rain water between
В.
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.)
O A. There is 99% confidence that the population 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
including fewer numbers for consideration makes it more likely one of them is correct.
O C. There is a 99% probability that the true mean pH of rain water is between
and
including more numbers for consideration makes it more likely one of them is correct.
(d) What happens to the interval as the level of confidence is changed? Explain why this is a logical
all confidence intervals of a given level of confidence have the same width.
As the level of confidence increases, the width of the interval
This makes sense since
Click to select your answer(s).
Type here to search
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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. 5.05 5.02 5.34 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.) O A. There is a 95% probability that the true mean pH of rain water is between and O B. If repeated samples are taken, 95% of them will have a sample pH of rain water between В. 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.) O A. There is 99% confidence that the population 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 including fewer numbers for consideration makes it more likely one of them is correct. O C. There is a 99% probability that the true mean pH of rain water is between and including more numbers for consideration makes it more likely one of them is correct. (d) What happens to the interval as the level of confidence is changed? Explain why this is a logical all confidence intervals of a given level of confidence have the same width. As the level of confidence increases, the width of the interval This makes sense since Click to select your answer(s). Type here to search
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