Suppose a random sample of 48 apartments in Toronto was selected and their square footage were recorded.(a) We would like to construct a confidence interval to estimate the true mean square footage of apartments inToronto. A histogram of the apartment sizes in our sample is as follows:LO550600650700750800850900Square footageWhat is the shape of the data distribution? We want to construct a confidence interval that relies on the assumptionof normality. Given that it does not appear that the apartment square footages follow a normal distribution, can westill meaningfully construct this interval? Why or why not?(b) The mean and standard deviation of the apartments in the sample are calculated to be 660.94 and 79.88respectively. Construct a 98% confidence interval for the true mean square footage of apartments in Toronto.(c) Provide an interpretation of the interval calculated in (b).Frequency15

Introduction: A histogram for the apartment sizes in a sample of 48 apartments is given.

Answered: Suppose a random sample of 48…

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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Which of the following t values would be used to construct a 99% confidence interval for the mean with a sample of size n=17?
Suppose you work for the Department of Environment and National Resources (DENR). You want to estimate, with 95% confidence, the mean length of all tilapia in a fish hatchery pond. You take a random sample of 10 tilapia and determine the average length is 10.5 inches and the sample standard deviation is 2.9 inches. Construct a confidence interval for this sample and interpret the result.
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows, current year previous year occupied rooms 1470 1458 total rooms 1750 1800 a)What is the 95% confidence interval estimate of the change in occupancy for the one-year period? b)Do you think officials will be pleased with the results? c) Using a 0.05 level of significance, test the hypothesis that there has been an increase in the proportion of rooms occupied over the one-year period.
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C. FIND t a n = 15 for the 98% confidence interval for the mean. %3D 2
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