A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.7. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: 17.79; Upper bound: 21.02 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about µ if the sample size, n, is 51. Lower bound: Upper bound: (Use ascending order. Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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(b) Construct a 95​% confidence interval about μ if the sample​ size, n, is 51.
 
Lower​ bound:
Upper​ bound: 
A simple random sample of size n is drawn. The sample mean, \( \bar{x} \), is found to be 19.4, and the sample standard deviation, \( s \), is found to be 4.7. Click the icon to view the table of areas under the t-distribution.

---

(a) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 35.

- Lower bound: 17.79
- Upper bound: 21.02

(Use ascending order. Round to two decimal places as needed.)

---

(b) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 51.

- Lower bound: [ ]
- Upper bound: [ ]

(Use ascending order. Round to two decimal places as needed.)
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, \( \bar{x} \), is found to be 19.4, and the sample standard deviation, \( s \), is found to be 4.7. Click the icon to view the table of areas under the t-distribution. --- (a) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 35. - Lower bound: 17.79 - Upper bound: 21.02 (Use ascending order. Round to two decimal places as needed.) --- (b) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 51. - Lower bound: [ ] - Upper bound: [ ] (Use ascending order. Round to two decimal places as needed.)
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