Answered: It's proposed that the average life…

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

It's proposed that the average life expectancy these days is 77.9, but recent data suggests it might be different from that.

A sample size of 94 countries found a sample mean life expectancy of 72.4 years with a standard deviation of 14.4 years.

You want to formulate and test a hypothesis that can be used to challenge the validity of the claim at a significance level of 0.002.

With hypotheses H0:μ=77.9 vs H1:μ≠77.9, what is/are the critical value(s)? (Report answer accurate to 2 decimal places.)

What is the test statistic for this sample?
(Report answer accurate to 3 decimal places.)

What is the p-value for this sample?
(Report answer accurate to 4 decimal places.)

Our decision is to

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that

there is sufficient evidence to conclude that the population mean life expectancy is equal to 77.9.
there is not sufficient evidence to conclude that the population mean life expectancy is equal to 77.9.
there is sufficient evidence to conclude that the population mean life expectancy is not equal to 77.9.
there is not sufficient evidence to conclude that the population mean life expectancy is not equal to 77.9.

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