Answered: You would like to construct a 90%…

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

You would like to construct a

90%

confidence interval to estimate the population mean price of milk (per gallon) in your city. You select a random sample of prices from different stores. The sample has a mean of

3.77

dollars and a standard deviation of

0.20

dollars.

(a) What is the best point estimate, based on the sample, to use for the population mean?

dollars

(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the

90%

confidence interval for the population mean.

(In the table, Z refers to a standard normal distribution, and

refers to a t distribution.)

Sampling scenario	Z	t	Could use either Z or t	Unclear
The sample has size 85 , and it is from a non-normally distributed population.			Z t
The sample has size 110 , and it is from a non-normally distributed population with a known standard deviation of 0.28 .			Z t
The sample has size 11 , and it is from a normally distributed population with an unknown standard deviation.			Z t

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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