Answered: Determine the minimum sample size…

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

A paint manufacturer uses a machine to fill gallon cans with paint (1

gal=128

ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within

0.4

ounce. Assume the population of volumes is normally distributed.

(a) Determine the minimum sample size required to construct a

90%

confidence interval for the population mean. Assume the population standard deviation is

0.80

ounce.

(b) The sample mean is

127

ounces. With a sample size of

13,

90%

level of confidence, and a population standard deviation of

0.80

ounce, does it seem possible that the population mean could be exactly

128

ounces? Explain.

Click here to view page 1 of the Standard Normal Table.

Click here to view page 2 of the Standard Normal Table.

(a) The minimum sample size required to construct a

90%

confidence interval is

nothing

cans.

(Round up to the nearest whole number.)

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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