The County Theater is an independent entertainment theater that is in the middle of a new renovation to expand their current layout of two screens. With their current renovation plan, they hope to increase their screens to three. As of now, they are still in need of $14,000 to finish the construction project. Through market research completed on their members as well as the greater community, they estimated that each donator would give around $50. As the donations have been coming in over the course of the last 18 months, they believe that the research estimate may have been too high. They created a sample of members consisting of 40 individuals. On average, they are willing to give $40 and the standard deviation for the sample is $1.35. With an alpha of .05, construct an appropriate hypothesis test. If you find that the null hypothesis is not true, what real world circumstance may have affected the research estimate?

The County Theater is an independent entertainment theater that is in the middle of a new renovation to expand their current layout of two screens. With their current renovation plan, they hope to increase their screens to three. As of now, they are still in need of $14,000 to finish the construction project. Through market research completed on their members as well as the greater community, they estimated that each donator would give around $50. As the donations have been coming in over the course of the last 18 months, they believe that the research estimate may have been too high. They created a sample of members consisting of 40 individuals. On average, they are willing to give $40 and the standard deviation for the sample is $1.35. With an alpha of .05, construct an appropriate hypothesis test. If you find that the null hypothesis is not true, what real world circumstance may have affected the research estimate?

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 County Theater is an independent entertainment theater that is in the middle of a new
renovation to expand their current layout of two screens. With their current renovation plan,
they hope to increase their screens to three. As of now, they are still in need of $14,000 to
finish the construction project. Through market research completed on their members as well
as the greater community, they estimated that each donator would give around $50. As the
donations have been coming in over the course of the last 18 months, they believe that the
research estimate may have been too high. They created a sample of members consisting of 40
individuals. On average, they are willing to give $40 and the standard deviation for the sample
is $1.35. With an alpha of .05, construct an appropriate hypothesis test. If you find that the null
hypothesis is not true, what real world circumstance may have affected the research estimate?

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