2. Whiting, Indiana, leads the “Top 100 Cities with the Oldest Houses" list with the average age of houses being 66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age of 59.4 years. Researchers selected a random sample of 20 houses in each city and obtained the following statistics. At a = that the houses in Whiting are older? Assume that the population of ages in both cities is normally distributed. Assume population stan- dard deviations are unequal. 0.05, can it be concluded Whiting Franklin Mean age Standard deviation 5.4 years 62.1 years 55.6 years 3.9 years Source: wwww.city-data com

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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For each hypothesis test you complete, please answer questions (a)
through (i) listed below.
(a) What conditions should you check first before you con-
duct the hypothesis test?
(b) Write the null and alternative hypotheses.
(c) What type of test are you doing: right-tailed, left-tailed
or two-tailed?
(d) What formula should be used for the test statistic?
(e) What number is the test statistic equal to?
(f) Sketch a graph of the p-value
(g) What p-value do you obtain? Round to the ten-thousandths.
(h) Do you reject the null hypothesis or fail to reject the
null hypothesis? Explain.
(i) Please write a conclusion sentence, in the context of the
problem, that explains to a lay person the result of the hypothesis
test.

2. Whiting, Indiana, leads the “Top 100 Cities with the Oldest Houses"
list with the average age of houses being 66.4 years. Farther down the
list resides Franklin, Pennsylvania, with an average house age of 59.4
years. Researchers selected a random sample of 20 houses in each city
and obtained the following statistics. At a = 0.05, can it be concluded
that the houses in Whiting are older? Assume that the population of
ages in both cities is normally distributed. Assume population stan-
dard deviations are unequal.
Whiting
62.1 years 55.6 years
3.9 years
Franklin
Mean age
Standard deviation 5.4 years
Source: www.city-data.com
Transcribed Image Text:2. Whiting, Indiana, leads the “Top 100 Cities with the Oldest Houses" list with the average age of houses being 66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age of 59.4 years. Researchers selected a random sample of 20 houses in each city and obtained the following statistics. At a = 0.05, can it be concluded that the houses in Whiting are older? Assume that the population of ages in both cities is normally distributed. Assume population stan- dard deviations are unequal. Whiting 62.1 years 55.6 years 3.9 years Franklin Mean age Standard deviation 5.4 years Source: www.city-data.com
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