A random sample of 26 items is drawn from a population whose standard deviation is unknown. The sample mean is 860 and sample standard deviation is s= 20. Use Appendix D to find the values of Student'st (a) Construct an interval estimate of u with 95% confidence. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (b) Construct an interval estimate of u with 95% confidence, assuming that s= 40. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (c) Construct an interval estimate of u with 95% confidence, assuming that s = 80. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (d) Describe how the confidence interval changes as s increases.

MATLAB: An Introduction with Applications
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A random sample of 26 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 860 \) and the sample standard deviation is \( s = 20 \). Use Appendix D to find the values of Student’s t.

(a) Construct an interval estimate of \( \mu \) with 95% confidence. (Round your answers to 3 decimal places.)

The 95% confidence interval is from [______] to [______].

(b) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 40 \). (Round your answers to 3 decimal places.)

The 95% confidence interval is from [______] to [______].

(c) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 80 \). (Round your answers to 3 decimal places.)

The 95% confidence interval is from [______] to [______].

(d) Describe how the confidence interval changes as \( s \) increases.

- The interval stays the same as \( s \) increases.
- The interval gets wider as \( s \) increases.
- The interval gets narrower as \( s \) increases.

The selected answer is:

- The interval gets wider as \( s \) increases.
Transcribed Image Text:A random sample of 26 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 860 \) and the sample standard deviation is \( s = 20 \). Use Appendix D to find the values of Student’s t. (a) Construct an interval estimate of \( \mu \) with 95% confidence. (Round your answers to 3 decimal places.) The 95% confidence interval is from [______] to [______]. (b) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 40 \). (Round your answers to 3 decimal places.) The 95% confidence interval is from [______] to [______]. (c) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 80 \). (Round your answers to 3 decimal places.) The 95% confidence interval is from [______] to [______]. (d) Describe how the confidence interval changes as \( s \) increases. - The interval stays the same as \( s \) increases. - The interval gets wider as \( s \) increases. - The interval gets narrower as \( s \) increases. The selected answer is: - The interval gets wider as \( s \) increases.
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