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 5.02 4.60 4.76 5.19 5.34 4.56 5.70 Click the icon to view the table of critical t-values. A point estimate for the population mean is 5.03 (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.) and 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 and O C. There is 95% confidence that the population mean pH of rain water is between

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9.2.31

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, 4.80, 5.02, 4.60, 4.74, 5.19, 5.34, 4.76, 4.56, 5.70

Click the icon to view the table of critical t-values.

A point estimate for the population mean is 5.03. (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 a 95% probability that the true mean pH of rainwater is between [ ] and [ ].
- B. If repeated samples are taken, 95% of them will have a sample pH of rainwater between [ ] and [ ].
- C. There is 95% confidence that the population mean pH of rainwater is between [ ] and [ ].

(Option C is selected.)

Click to select and enter your answer(s) and then click Check Answer.

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This educational section is about constructing and interpreting a 95% confidence interval for the mean pH of rainwater from a sample of 12 rain dates. It includes selecting the correct statistical interpretation for the confidence interval.
Transcribed Image Text:9.2.31 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, 4.80, 5.02, 4.60, 4.74, 5.19, 5.34, 4.76, 4.56, 5.70 Click the icon to view the table of critical t-values. A point estimate for the population mean is 5.03. (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 a 95% probability that the true mean pH of rainwater is between [ ] and [ ]. - B. If repeated samples are taken, 95% of them will have a sample pH of rainwater between [ ] and [ ]. - C. There is 95% confidence that the population mean pH of rainwater is between [ ] and [ ]. (Option C is selected.) Click to select and enter your answer(s) and then click Check Answer. 2 parts remaining Clear All --- This educational section is about constructing and interpreting a 95% confidence interval for the mean pH of rainwater from a sample of 12 rain dates. It includes selecting the correct statistical interpretation for the confidence interval.
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