Answered: chnicians gather a random sample of…

chnicians gather a random sample of fill amounts and find that the mean of the sample is 7.5 ounces ne questions below. e alternative hypothesis (H,) that should be used for the test?

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

A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.3 ounces of coffee per cup. If it dispenses more than that on
average, the corporation may lose money, and if it dispenses less, the customers may complain.
Believing that the mean amount of coffee dispensed by the machine, u, is greater than 7.3 ounces, BIG plans to do a statistical test of the claim that the
machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.5 ounces and that the standard
deviation is 0.6 ounces.
Based on this information, answer the questions below.
What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test?
H: u is ?
H: u is ?
In the context of this test, what is a Type I error?
A Type I error is ?
fact, u is ?
v the hypothesis that u is ?
v? v.
when, in
Suppose that BIG decides not to reject the null hypothesis. What sort of error might it be making?
?

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