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A random sample of n measurements was selected from a population with unknown mean u and known standard deviation. Calculate a 90% confidence interval for u for each of the situations given in parts a through e. a. n= 70, x= 26, o² = 13 ( 25.29 , 26.71 ) (Round to two decimal places as needed.) b. n= 150, x= 118, o² = 24 ( 117.34 , 118.66 ) (Round to two decimal places as needed.) c.n= 90, x= 18, o = 0.2 (Round to two decimal places as needed.)

A random sample of n measurements was selected from a population with unknown mean u and known standard deviation. Calculate a 90% confidence interval for u for each of the situations given in parts a through e. a. n= 70, x= 26, o² = 13 ( 25.29 , 26.71 ) (Round to two decimal places as needed.) b. n= 150, x= 118, o² = 24 ( 117.34 , 118.66 ) (Round to two decimal places as needed.) c.n= 90, x= 18, o = 0.2 (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A random sample of \( n \) measurements was selected from a population with unknown mean \( \mu \) and known standard deviation. Calculate a 90% confidence interval for \( \mu \) for each of the situations given in parts a through e. **a.** - \( n = 70, \, \bar{x} = 26, \, \sigma^2 = 13 \) - Confidence Interval: \( (25.29, \, 26.71) \) - *(Round to two decimal places as needed.)* **b.** - \( n = 150, \, \bar{x} = 118, \, \sigma^2 = 24 \) - Confidence Interval: \( (117.34, \, 118.66) \) - *(Round to two decimal places as needed.)* **c.** - \( n = 90, \, \bar{x} = 18, \, \sigma = 0.2 \) - Confidence Interval: \( \, [, \, ] \) - *(Round to two decimal places as needed.)* Note: Part c requires calculation to complete the confidence interval.
Transcribed Image Text:A random sample of \( n \) measurements was selected from a population with unknown mean \( \mu \) and known standard deviation. Calculate a 90% confidence interval for \( \mu \) for each of the situations given in parts a through e. **a.** - \( n = 70, \, \bar{x} = 26, \, \sigma^2 = 13 \) - Confidence Interval: \( (25.29, \, 26.71) \) - *(Round to two decimal places as needed.)* **b.** - \( n = 150, \, \bar{x} = 118, \, \sigma^2 = 24 \) - Confidence Interval: \( (117.34, \, 118.66) \) - *(Round to two decimal places as needed.)* **c.** - \( n = 90, \, \bar{x} = 18, \, \sigma = 0.2 \) - Confidence Interval: \( \, [, \, ] \) - *(Round to two decimal places as needed.)* Note: Part c requires calculation to complete the confidence interval.
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C)Givenn=90x=18σ=0.2confidence interval =90%

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