The manager of a paint supply store wants to determine the mean amount of paint contained in 1- gallon cans purchased from a nationally known manufacturer is actually 1 gallon. You know from the manufacturer's specifications that the standard deviation of the amount of paint is 0.02 gallon. You select a random sample of 50 cans, and the mean amount of paint per 1-gallon can is 0.995 gallon. The level of significance is 0.01.

The manager of a paint supply store wants to determine the mean amount of paint contained in 1- gallon cans purchased from a nationally known manufacturer is actually 1 gallon. You know from the manufacturer's specifications that the standard deviation of the amount of paint is 0.02 gallon. You select a random sample of 50 cans, and the mean amount of paint per 1-gallon can is 0.995 gallon. The level of significance is 0.01.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The manager of a paint supply store wants to determine the mean amount of paint contained in 1-
gallon cans purchased from a nationally known manufacturer is actually 1 gallon. You know from
the manufacturer's specifications that the standard deviation of the amount of paint is 0.02 gallon.
You select a random sample of 50 cans, and the mean amount of paint per 1-gallon can is 0.995
gallon. The level of significance is 0.01.
1. What is the population of interest?
2. What claim is being made by the manufacturer?
3. Define Ho: µ =
HA:
4. Is this a one or two tailed test?
5. Graphically construct the rejection region.
6. Calculate:
z =
vn
7. Find the p-value:
8. Should we reject or fail to reject Ho?

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