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Description: I have recorded 40 random numbers between 0 and 7 to simulate the number of days 40 students eat out in a week. Assume that the standard deviation is known to be three meals. Construct an approximate 95% confidence interval for the true mean number o

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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I have recorded 40 random numbers between 0 and 7 to simulate the number of days 40 students eat out in a week. Assume that the standard deviation is known to be three meals. Construct an approximate 95% confidence interval for the true mean number of days students eat out each week.

4 3 2 6 1

6 2 0 1 5

4 5 0 5 6

0 1 3 3 7

3 1 5 0 1

5 5 7 6 6

1 2 3 4 0

1 6 4 7 5

Calculate the sample mean.
Let σ = 3 and n = the number of students surveyed.
Construct the interval

(?¯−2∗??√,?¯+2∗??√)(x¯−2∗σn,x¯+2∗σn)

We say we are approximately 95% confident that the true mean number of days that students eat out in a week is between __________ and ___________.

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