On their website, a property management company states that the mean monthly rent for apartments on the east side of town is $650. A researcher for a consumer advocacy group belleves that, due to the construction of newer apartment complexes in neighboring towns, the mean monthly rent on the east side, H, is now lower. A random sample of 16 monthly rents for apartments on the east side has a mean of $648, with a standard deviation of $24. 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 0.10 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 ormulas.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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II
eks.com
Students H4ome
CMcGraww Hill Campors
A ALEKS-Anna Bergstr.
o CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
Hypothesis test for the population mean: t test using the p vala..
60 0115
A
On their website, a property management company states that the mean monthly rent for apartments on
the east side of town is $650. 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,
H, is now lower. A random sample of 16 monthly rents for apartments on the east side has a mean of $648,
with a standard deviation of $24.
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 0.10 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.)
(a) State the null hypothesis H, and the alternative hypothesis H.
(b) Determine the type of test statistic to use.
DRO OSD 0-D
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal
D D>O
(c)
places.)
(d) Find the p-value. (Round to three or more decimal places.)
(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 ONo
Transcribed Image Text:II eks.com Students H4ome CMcGraww Hill Campors A ALEKS-Anna Bergstr. o CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the population mean: t test using the p vala.. 60 0115 A On their website, a property management company states that the mean monthly rent for apartments on the east side of town is $650. 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, H, is now lower. A random sample of 16 monthly rents for apartments on the east side has a mean of $648, with a standard deviation of $24. 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 0.10 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.) (a) State the null hypothesis H, and the alternative hypothesis H. (b) Determine the type of test statistic to use. DRO OSD 0-D (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal D D>O (c) places.) (d) Find the p-value. (Round to three or more decimal places.) (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 ONo
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