A rental agent claims that the mean monthly rent, µ, for apartments on the east side of town is less than $675. A random sample of 22 monthly rents for apartments on the east side has a mean of $665, with a standard deviation of $25. If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the 0.10 level of significance, that u is less than $675? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. Ho :0 H :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A rental agent claims that the mean monthly rent, µ, for apartments on the east side of town is less than $675. A random sample of 22 monthly rents for
apartments on the east side has a mean of $665, with a standard deviation of $25. If we assume that the monthly rents for apartments on the east side are
normally distributed, is there enough evidence to conclude, at the 0.10 level of significance, that pu is less than $675?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H1.
H, :0
H :0
(b) Determine the type of test statistic to use.
D=0
OSO
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the p-value. (Round to three or more decimal places.)
(e) Using the 0.10 level of significance, can we conclude that the mean monthly
rent for apartments on the east side is less than $675?
O Yes ONo
olo
Transcribed Image Text:A rental agent claims that the mean monthly rent, µ, for apartments on the east side of town is less than $675. A random sample of 22 monthly rents for apartments on the east side has a mean of $665, with a standard deviation of $25. If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the 0.10 level of significance, that pu is less than $675? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H1. H, :0 H :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the p-value. (Round to three or more decimal places.) (e) Using the 0.10 level of significance, can we conclude that the mean monthly rent for apartments on the east side is less than $675? O Yes ONo olo
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