Click the icon to view the table of critical values of the chi-square distribution. lect the correct choice below and fill in the answer boxes to complete your choice. se ascending order. Round to three decimal places as needed.) A. If repeated samples are taken, 90% of them will have the sample standard deviation between B. There is a 90% probability that the true population standard deviation is between and C. There is 90% confidence that the population standard deviation is between and CHF and

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The image provides data and a statistical problem related to the pH of rainwater in a specific region.

### Data and Problem Description:

The data represent the pH of rain for a random sample of 12 dates in a particular region. The values are:

- 4.56, 5.27, 5.04, 4.79, 4.79, 4.72
- 5.78, 4.72, 5.04, 4.70, 4.77, 4.51

A normal probability plot suggests that the data could come from a normally distributed population. A boxplot indicates there are no outliers. The sample standard deviation is given as \( s = 0.352 \).

The problem is to construct and interpret a 90% confidence interval for the standard deviation of rainwater pH in this region.

### Instructions:

You need to select the correct option and fill in the answer boxes to complete the choice. Use ascending order and round to three decimal places as needed. The choices are:

- **A.** If repeated samples are taken, 90% of them will have the sample standard deviation between [ ] and [ ].
- **B.** There is a 90% probability that the true population standard deviation is between [ ] and [ ].
- **C.** There is 90% confidence that the population standard deviation is between [ ] and [ ].

Beside the text, there is a clickable option to view the table of critical values of the chi-square distribution. This is likely relevant for calculating the confidence interval.
Transcribed Image Text:The image provides data and a statistical problem related to the pH of rainwater in a specific region. ### Data and Problem Description: The data represent the pH of rain for a random sample of 12 dates in a particular region. The values are: - 4.56, 5.27, 5.04, 4.79, 4.79, 4.72 - 5.78, 4.72, 5.04, 4.70, 4.77, 4.51 A normal probability plot suggests that the data could come from a normally distributed population. A boxplot indicates there are no outliers. The sample standard deviation is given as \( s = 0.352 \). The problem is to construct and interpret a 90% confidence interval for the standard deviation of rainwater pH in this region. ### Instructions: You need to select the correct option and fill in the answer boxes to complete the choice. Use ascending order and round to three decimal places as needed. The choices are: - **A.** If repeated samples are taken, 90% of them will have the sample standard deviation between [ ] and [ ]. - **B.** There is a 90% probability that the true population standard deviation is between [ ] and [ ]. - **C.** There is 90% confidence that the population standard deviation is between [ ] and [ ]. Beside the text, there is a clickable option to view the table of critical values of the chi-square distribution. This is likely relevant for calculating the confidence interval.
Expert Solution
Step 1: Given Information

It is given that 

n = 12

s = 0.352

Confidence level = 90%

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