a. What is the point estimate of the population mean? 3.38 b. Find the standard error of the sample mean. standard error = 0.082 (Round to three decimal places as needed.) c. The 95% confidence interval is (3.22, 3.54). Interpret. A. We can be 95% confident that the mean number of children that females would like to have is between 3.22 and 3.54. B. Ninety-five percent of females want between 3.22 and 3.54 children. C. We can be 95% confident that the proportion of females who want children is between 3.22 and 3.54. D. We can be 95% confident that a given female will want between 3.22 and 3.54 children. d. Is it plausible that the population mean μ = 2? O A. No, because 2 falls outside the confidence interval. B. Yes, because the median is 2. C. No, because the sample mean was not 2. D. Yes, because 2 falls outside the confidence interval.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1.

A survey asked the question, "What do you think is the ideal number of children for a family to have?" The 532 females who responded had a median of 2, mean of 3.38, and standard deviation of 1.9. Answer parts a–d.

---

**a. What is the point estimate of the population mean?**

- **3.38**

---

**b. Find the standard error of the sample mean.**

- **Standard error = 0.082** (Round to three decimal places as needed.)

---

**c. The 95% confidence interval is (3.22, 3.54). Interpret.**

- **A.** We can be 95% confident that the mean number of children that females would like to have is between 3.22 and 3.54.
- **B.** Ninety-five percent of females want between 3.22 and 3.54 children.
- **C.** We can be 95% confident that the proportion of females who want children is between 3.22 and 3.54.
- **D.** We can be 95% confident that a given female will want between 3.22 and 3.54 children.
  
**Correct choice: A**

---

**d. Is it plausible that the population mean μ = 2?**

- **A.** No, because 2 falls outside the confidence interval.
- **B.** Yes, because the median is 2.
- **C.** No, because the sample mean was not 2.
- **D.** Yes, because 2 falls outside the confidence interval.

**Correct choice: A**
Transcribed Image Text:A survey asked the question, "What do you think is the ideal number of children for a family to have?" The 532 females who responded had a median of 2, mean of 3.38, and standard deviation of 1.9. Answer parts a–d. --- **a. What is the point estimate of the population mean?** - **3.38** --- **b. Find the standard error of the sample mean.** - **Standard error = 0.082** (Round to three decimal places as needed.) --- **c. The 95% confidence interval is (3.22, 3.54). Interpret.** - **A.** We can be 95% confident that the mean number of children that females would like to have is between 3.22 and 3.54. - **B.** Ninety-five percent of females want between 3.22 and 3.54 children. - **C.** We can be 95% confident that the proportion of females who want children is between 3.22 and 3.54. - **D.** We can be 95% confident that a given female will want between 3.22 and 3.54 children. **Correct choice: A** --- **d. Is it plausible that the population mean μ = 2?** - **A.** No, because 2 falls outside the confidence interval. - **B.** Yes, because the median is 2. - **C.** No, because the sample mean was not 2. - **D.** Yes, because 2 falls outside the confidence interval. **Correct choice: A**
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