On their website, a property management company states that the mean monthly rent for apartments on the east side of town is $700. A researcher for a consumer advocacy group believes that, due to the construction of newer apartment complexes in neighboring towns, the mean monthly rent on the east side, μ, is now lower. A random sample of 22 monthly rents for apartments on the east side has a mean of $696, with a standard deviation of $17. Assume that current monthly rents for apartments on the east side are approximately normally distributed. Based on the sample, is there enough evidence to conclude, at the 0.05 level of significance, that the population mean monthly rent is now less than what is stated on the website? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

18b

On their website, a property management company states that the mean monthly rent for apartments on the east side of
town is $700. A researcher for a consumer advocacy group believes that, due to the construction of newer apartment
complexes in neighboring towns, the mean monthly rent on the east side, μ, is now lower. A random sample of 22
monthly rents for apartments on the east side has a mean $696, with a standard deviation of $17.
Assume that current monthly rents for apartments on the east side are approximately normally distributed. Based on the
sample, is there enough evidence to conclude, at the 0.05 level of significance, that the population mean monthly rent is
now less than what is stated on the website?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(d) Find the p-value. (Round to three or more decimal places.)
0
(e) Can we conclude that the mean monthly rent for apartments on the east side
is less than what is stated on the website?
OYes No
H
X
a
ロメロ
S
0=0 OSO
<
Q
Р
00
>
Transcribed Image Text:On their website, a property management company states that the mean monthly rent for apartments on the east side of town is $700. A researcher for a consumer advocacy group believes that, due to the construction of newer apartment complexes in neighboring towns, the mean monthly rent on the east side, μ, is now lower. A random sample of 22 monthly rents for apartments on the east side has a mean $696, with a standard deviation of $17. Assume that current monthly rents for apartments on the east side are approximately normally distributed. Based on the sample, is there enough evidence to conclude, at the 0.05 level of significance, that the population mean monthly rent is now less than what is stated on the website? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean monthly rent for apartments on the east side is less than what is stated on the website? OYes No H X a ロメロ S 0=0 OSO < Q Р 00 >
Expert Solution
Step 1

Claim: the mean monthly rent on the east side, μ is less than $700.

Hypotheses:

H0: μ=700H1: μ<700

Note that this is left-tailed test as the direction of alternative hypothesis is "less than".

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