You may need to use the appropriate appendix table or technology to answer this question. A sample of 225 elements from a population with a standard deviation of 90 is selected. The sample mean is 175. Find the 98% confidence interval for u. O 170 to 180 O 85 to 265 O 162.7 to 187.3 O 161.042 to 188.958

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**Question 5:** 

You may need to use the appropriate appendix table or technology to answer this question.

A sample of 225 elements from a population with a standard deviation of 90 is selected. The sample mean is 175. Find the 98% confidence interval for μ.

- ○ 170 to 180
- ○ 85 to 265
- ○ 162.7 to 187.3
- ○ 161.042 to 188.958

**Notes for Students:**

To calculate the 98% confidence interval for the population mean (μ), you will use the formula for the confidence interval:

\[ \text{Confidence Interval} = \bar{x} \pm z \left(\frac{\sigma}{\sqrt{n}}\right) \]

Where:
- \( \bar{x} \) is the sample mean
- \( z \) is the z-score corresponding to the desired confidence level
- \( \sigma \) is the population standard deviation
- \( n \) is the sample size

Use the provided details and choose the correct confidence interval from the options.
Transcribed Image Text:**Question 5:** You may need to use the appropriate appendix table or technology to answer this question. A sample of 225 elements from a population with a standard deviation of 90 is selected. The sample mean is 175. Find the 98% confidence interval for μ. - ○ 170 to 180 - ○ 85 to 265 - ○ 162.7 to 187.3 - ○ 161.042 to 188.958 **Notes for Students:** To calculate the 98% confidence interval for the population mean (μ), you will use the formula for the confidence interval: \[ \text{Confidence Interval} = \bar{x} \pm z \left(\frac{\sigma}{\sqrt{n}}\right) \] Where: - \( \bar{x} \) is the sample mean - \( z \) is the z-score corresponding to the desired confidence level - \( \sigma \) is the population standard deviation - \( n \) is the sample size Use the provided details and choose the correct confidence interval from the options.
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