Answered: an education support group wants to…

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

an education support group wants to estimate the mean class size for elementary schools in the southeast. they want to have 99% confidence with error of no more than 2 students. A preliminary study gave a standard deviation of 8.4. how many classrooms should they sample?

Expert Solution

Step 1

Given that confidence level is,

C=99%=99/100=0.99

The level of significance is,

$α = 1 - C = 1 - 0.99 = 0.01$

From standard normal table at $α = 0.01$ level of significance , the two-tailed critical value is,

The error is given as no more than 2 students.

That is, E $\leq$ 2 ( no more than mean less than or equal to)

Population standard deviation, $σ$ = 8.4

The objective is to compute the sample size.

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