Answered: a bottled water distributor 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

a bottled water distributor wants to estimate the amount of water contained in 1 - gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.03 gallon. A random sample of 50 bottles is selected, and the sample mean of the water per 1 - gallon bottle is 0.976 gallon.

a. construct a 99% confidence interval estimate for the population mean of water included in a 1 - gallon bottle.

b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? Why?

Yes,

No,

because a 1-gallon bottle containing exactly 1-gallon of water lies

▼

within

outside

the 95%confidence interval.

c. must you assume that the population amount of water per bottle is normally distributed here? Explain.

d. Construct a 95% confidence interval estimate. How does this change your answer to (b)?

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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