c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Solect the correct choice below and fill in the answer boxes to complete your choice. Use ascending order. Round to two docimal places as neoded.) OA. There is 99% confidence that the population mean pH of rain water is betwoen and. OB. If repeated samples are taken, 99% of them will have a sample pH of rain water between and. C. There is a 99% probability that the true mean pH of rain water is between and.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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**Educational Transcription:**

The following data reflects the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could originate from a population that is normally distributed, with no outliers identified. The pH values recorded are:

- 5.58, 5.02, 5.43, 5.72, 5.16, 5.24, 4.74, 4.76, 4.56, 5.24, 4.80, 5.19

**(a) Determine a point estimate for the population mean.**

- The calculated point estimate for the population mean is \(5.15\).
- The result is rounded to two decimal places as needed.

**(b) Construct and interpret a 95% confidence interval for the mean pH of rainwater.**

Choose the correct option and complete the answer boxes by filling in the appropriate values:

- \(\Box\) There is 95% confidence that the population mean pH of rain water is between \(4.91\) and \(5.38\).
- \(\Box\) If repeated samples are taken, 95% of them will have a sample pH of rainwater between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\).
- \(\Box\) There is a 95% probability that the true mean pH of rain water is between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\).

**(c) Construct and interpret a 99% confidence interval for the mean pH of rainwater.**

Choose the correct option and complete the answer boxes by filling in the correct values:

- \(\Box\) There is 99% confidence that the population mean pH of rain water is between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\).
- \(\Box\) If repeated samples are taken, 99% of them will have a sample pH of rain water between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\).
- \(\Box\) There is a 99% probability that the true mean pH of rain water is between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\).

**Graphical Diagrams:**

There are no visible graphs or diagrams to interpret in this
Transcribed Image Text:**Educational Transcription:** The following data reflects the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could originate from a population that is normally distributed, with no outliers identified. The pH values recorded are: - 5.58, 5.02, 5.43, 5.72, 5.16, 5.24, 4.74, 4.76, 4.56, 5.24, 4.80, 5.19 **(a) Determine a point estimate for the population mean.** - The calculated point estimate for the population mean is \(5.15\). - The result is rounded to two decimal places as needed. **(b) Construct and interpret a 95% confidence interval for the mean pH of rainwater.** Choose the correct option and complete the answer boxes by filling in the appropriate values: - \(\Box\) There is 95% confidence that the population mean pH of rain water is between \(4.91\) and \(5.38\). - \(\Box\) If repeated samples are taken, 95% of them will have a sample pH of rainwater between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\). - \(\Box\) There is a 95% probability that the true mean pH of rain water is between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\). **(c) Construct and interpret a 99% confidence interval for the mean pH of rainwater.** Choose the correct option and complete the answer boxes by filling in the correct values: - \(\Box\) There is 99% confidence that the population mean pH of rain water is between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\). - \(\Box\) If repeated samples are taken, 99% of them will have a sample pH of rain water between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\). - \(\Box\) There is a 99% probability that the true mean pH of rain water is between \(\underline{\ \ \ }\) and \(\underline{\ \ \ }\). **Graphical Diagrams:** There are no visible graphs or diagrams to interpret in this
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