Answered: Determine the mean (in students per…

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

In the public schools in Massachusetts, the average number of students per computer for the 2007–2008 school year was 3.6 with a standard deviation of 1.3. A random sample of 40 public schools in the state of Massachusetts was obtained last year, and the average number of students per computer was found to be 4.3.

(a)

Determine the mean (in students per computer) of the sampling distribution of the sample mean.

students per computer

(b)

Calculate the standard deviation (in students per computer) of the sampling distribution of the sample mean. (Round your answer to three decimal places.)

students per computer

(c)

The shape of the sampling distribution of the sample mean is approximately normal. Which of the following choices justifies that statement?

The population is approximately normally distributed.A random sample was taken. The sample size is 30 or more.We have sampled less than 10% of the population.

(d)

What is the probability of obtaining a sample average of 4.3 students per computer or more if the average number of students per computer has not changed since the 2007–2008 school year? (Use a table or technology. Round your answer to four decimal places.)

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