Answered: 1. (Sec. 7.1) Given below are two…

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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$1. (Sec. 7.1) Given below are two confidence intervals for $ \mu = $ the true average alcohol content in a bottle of a particular brand of cough syrup. \[ (7.9, 9.5) \quad \quad (8.0, 9.4) \] (a) What is the value of the sample mean alcohol content? (b) Suppose both intervals were calculated from the same set of sample data. The confidence level for one interval is 90%, and the confidence level for the other is 95%. Which interval has the 95% confidence level? How do you know? (c) Using your answer to part (b), consider the following statement: there is a 95% probability that the true (unknown) mean alcohol content $ \mu $ lies in this interval. Is this statement true or false? Why?$

Transcribed Image Text:1. (Sec. 7.1) Given below are two confidence intervals for $ \mu = $ the true average alcohol content in a bottle of a particular brand of cough syrup. \[ (7.9, 9.5) \quad \quad (8.0, 9.4) \] (a) What is the value of the sample mean alcohol content? (b) Suppose both intervals were calculated from the same set of sample data. The confidence level for one interval is 90%, and the confidence level for the other is 95%. Which interval has the 95% confidence level? How do you know? (c) Using your answer to part (b), consider the following statement: there is a 95% probability that the true (unknown) mean alcohol content $ \mu $ lies in this interval. Is this statement true or false? Why?

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Step 1

Here, we have given two confidence intervals for $μ$ = the true average alcohol content in a bottle of particular brand of cough syrup.

(7.9,9.5) and (8.0,9.4)

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