A local school district claims that the number of school days missed by its teachers due to illness is below the national average of u = 5. A random sample of 28 teachers provided the data below. At a = 0.05, test the district's claim using P- values. 0363354135 7312332416 25283125

A local school district claims that the number of school days missed by its teachers due to illness is below the national average of u = 5. A random sample of 28 teachers provided the data below. At a = 0.05, test the district's claim using P- values. 0363354135 7312332416 25283125

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

I understand how the level of signficance = 1.96 and I understand: Ho:μ=5 - Ha:μ<5

But I need help understanding how to calculate the test statistic. I know we have a sum of 93 with a sample size of 28 but how do you come to the conclusion for the test stastisic and how do you figure out whether you have enough proof to accept or reject the claim? Thank you.

A local school district claims that the number of school days missed by its teachers due to illness is below the national average of μ = 5. A random sample of 28 teachers provided the data below. At α = 0.05, test the district's claim using P-values.

Data (Number of school days missed due to illness):

0, 3, 6, 3, 5, 4, 1, 3, 5
7, 3, 1, 2, 3, 3, 2, 4, 1, 6
2, 5, 2, 8, 3, 1, 2, 5

This data can be used to perform a hypothesis test to determine if the average number of days missed by teachers is significantly less than the national average.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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