Number of Jobs A sociologist found that in a sample of 50 retired men, the average number of jobs they had during their lifetimes was 6.9. The population standard deviation is 2.3. Part: 0/ 4 Part 1 of 4 (a) Find the best point estimate of the mean. The best point estimate of the mean is Part: 1/4 Part 2 of 4 (b) Find the 90% confidence interval of the mean number of jobs. Round intermediate and answers to one decimal place.

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**Number of Jobs**

A sociologist found that in a sample of 50 retired men, the average number of jobs they had during their lifetimes was 6.9. The population standard deviation is 2.3.

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**Part: 0 / 4**

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### Part 1 of 4

(a) Find the best point estimate of the mean.

The best point estimate of the mean is: [ ] 
  
---

**Part: 1 / 4**

---

### Part 2 of 4

(b) Find the 90% confidence interval of the mean number of jobs. Round intermediate and final answers to one decimal place.

[ ] < μ < [ ]

---
Transcribed Image Text:**Number of Jobs** A sociologist found that in a sample of 50 retired men, the average number of jobs they had during their lifetimes was 6.9. The population standard deviation is 2.3. --- **Part: 0 / 4** --- ### Part 1 of 4 (a) Find the best point estimate of the mean. The best point estimate of the mean is: [ ] --- **Part: 1 / 4** --- ### Part 2 of 4 (b) Find the 90% confidence interval of the mean number of jobs. Round intermediate and final answers to one decimal place. [ ] < μ < [ ] ---
**Part 2 / 4**

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**Part 3 of 4**

(c) Find the 95% confidence interval of the mean number of jobs. Round intermediate and final answers to one decimal place.

\[ \Box < \mu < \Box \]

\[ \times \quad \circlearrowleft \]

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**Part: 3 / 4**

[Progress bar indicating completion status of Part 3 out of 4]

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**Part 4 of 4**

(d) Which is smaller? Explain why.

The \[ \Box \]% confidence interval is smaller since there is (Choose one) \[ \bigtriangledown \] of a chance that the mean is contained in the interval as opposed to the \[ \Box \]% confidence interval.

\[ \times \quad \circlearrowleft \]

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**Explanation:**

This section is part of an educational module on statistics, focusing on determining confidence intervals. The task involves calculating a 95% confidence interval for the mean number of jobs and explaining the relationship between the confidence level and the width of the interval.
Transcribed Image Text:**Part 2 / 4** --- **Part 3 of 4** (c) Find the 95% confidence interval of the mean number of jobs. Round intermediate and final answers to one decimal place. \[ \Box < \mu < \Box \] \[ \times \quad \circlearrowleft \] --- **Part: 3 / 4** [Progress bar indicating completion status of Part 3 out of 4] --- **Part 4 of 4** (d) Which is smaller? Explain why. The \[ \Box \]% confidence interval is smaller since there is (Choose one) \[ \bigtriangledown \] of a chance that the mean is contained in the interval as opposed to the \[ \Box \]% confidence interval. \[ \times \quad \circlearrowleft \] --- **Explanation:** This section is part of an educational module on statistics, focusing on determining confidence intervals. The task involves calculating a 95% confidence interval for the mean number of jobs and explaining the relationship between the confidence level and the width of the interval.
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