### Study SummaryA study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt below. #### One-Sample T: AGEWED- **Variable:** AGEWED- **N (Sample Size):** 26,140- **Mean:** 23.740- **Standard Deviation (StDev):** 4.668- **Standard Error of the Mean (SE Mean):** 0.029- **99.0% Confidence Interval (CI):** (23.666, 23.814)*Note:* Click the icon to view the table of critical t-values.#### Questions(a) **Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval.**- Point estimate (mean): $ \bar{x} = 23.740 $- Margin of error: $ E = 0.7437 $(b) **Interpret the confidence interval.**The 99.0% confidence interval suggests that we can be 99% confident that the true population mean age at first marriage falls between 23.666 and 23.814 years.

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Description: ### Study SummaryA study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt below. #### One-Sample T: AGEWED- **Variable:** AGEWED- **N (Sample Size):** 26,140- **Mean:

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A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Mean StDev SE Mean Variable 99.0% CI 0.029 (23.666, 23.814) N AGEWED 26140 23.740 4.668 Click the icon to view the table of critical t-values. (a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval. x = 23.740 (Type an integer or a decimal. Do not round.) E= 0.7437 (Type an integer or a decimal. Do not round.) (b) Interpret the confidence interval.

A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Mean StDev SE Mean Variable 99.0% CI 0.029 (23.666, 23.814) N AGEWED 26140 23.740 4.668 Click the icon to view the table of critical t-values. (a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval. x = 23.740 (Type an integer or a decimal. Do not round.) E= 0.7437 (Type an integer or a decimal. Do not round.) (b) Interpret 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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### Study Summary

A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt below.

#### One-Sample T: AGEWED

- **Variable:** AGEWED
- **N (Sample Size):** 26,140
- **Mean:** 23.740
- **Standard Deviation (StDev):** 4.668
- **Standard Error of the Mean (SE Mean):** 0.029
- **99.0% Confidence Interval (CI):** (23.666, 23.814)

*Note:* Click the icon to view the table of critical t-values.

#### Questions

(a) **Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval.**

- Point estimate (mean): $ \bar{x} = 23.740 $
- Margin of error: $ E = 0.7437 $

(b) **Interpret the confidence interval.**

The 99.0% confidence interval suggests that we can be 99% confident that the true population mean age at first marriage falls between 23.666 and 23.814 years.

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