On its website, a property management company claims that the median monthly rent for apartments on the east side of town is3630. A researcher for a consumer advocacy group believes that, due to the construction of new apartment complexes in neighboring cities, the median monthly rent on the East Side,μ, is now lower. A random sample of 13monthly rentals for apartments on the east side average$638, with a standard deviation of $twenty Assume that the current monthly rents for the apartments on the east side follow approximately a normal distribution. Based on the sample, is there enough evidence to conclude, at the level of significance of0.05 that the median monthly rent for the town is now less than what is stated on the website? Perform a one-tailed test. Then complete the parts below. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas.) (to) Formulate the null hypothesish and the alternative hypothesish ₁. ho: 0 (b) (c) (d) h₁ Determine which type of test statistic to use. (Choose an option) ▼ Find the value of the test statistic. (Round to three or more decimal places.) 0 Find the critical value. (Round to three or more decimal places.) F |x 딤 0*0 O X S 0 0=0 OSO 020 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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PART E

  Can we conclude that the median monthly rent for the apartments to the east is less than what is stated on the website? YES OR NO
 
On its website, a property management company claims that the median 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 new apartment complexes in neighboring cities, the median monthly rent on the East Side,μ,
is now lower. A random sample of 13monthly rentals for apartments on the east side average$638, with a standard deviation of $twenty
Assume that the current monthly rents for the apartments on the east side follow approximately a normal distribution. Based on the sample, is there enough
evidence to conclude, at the level of significance of 0.05 that the median monthly rent for the town is now less than what is stated on the website?
Perform a one-tailed test. Then complete the parts below.
Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .)
(to) Formulate the null hypothesish and the alternative hypothesish 1'
ho:
0
(b)
(c)
(d)
h, 0
:
1
Determine which type of test statistic to use.
(Choose an option)
Find the value of the test statistic. (Round to three or more decimal places.)
Find the critical value. (Round to three or more decimal places.)
μ
|x
X
☐#0
σ
0=0 □≦o
X
S
O<O
Р
Ś
ô
ロミロ
O<O
Transcribed Image Text:On its website, a property management company claims that the median 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 new apartment complexes in neighboring cities, the median monthly rent on the East Side,μ, is now lower. A random sample of 13monthly rentals for apartments on the east side average$638, with a standard deviation of $twenty Assume that the current monthly rents for the apartments on the east side follow approximately a normal distribution. Based on the sample, is there enough evidence to conclude, at the level of significance of 0.05 that the median monthly rent for the town is now less than what is stated on the website? Perform a one-tailed test. Then complete the parts below. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1' ho: 0 (b) (c) (d) h, 0 : 1 Determine which type of test statistic to use. (Choose an option) Find the value of the test statistic. (Round to three or more decimal places.) Find the critical value. (Round to three or more decimal places.) μ |x X ☐#0 σ 0=0 □≦o X S O<O Р Ś ô ロミロ O<O
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