Answered: A random sample of 100 items is drawn…

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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Question

A random sample of 100 items is drawn from a population whose standard deviation is known to be σ = 50. The sample mean is x⎯⎯x¯ = 850.

(a) Construct an interval estimate for μ with 95 percent confidence. (Round your answers to 1 decimal place.)

the 95% confidence interval is from to ?

(b) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 100. (Round your answers to 1 decimal place.)

the 95% confidence interval is from to ?

(c) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 200. (Round your answers to 1 decimal place.)

the 95% confidence interval is from to ?

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

multiple choice

a)The interval stays the same as σ increases.

b)The interval gets wider as σ increases.

c)The interval gets narrower as σ increases.

d)The interval gets wider as σ decreases.

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