Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1600 miles per month. ? Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 16 recent mileages of Citrus cars was taken. The mean of these 16 mileages was 1517 miles per month, and the standard deviation was 233 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1600 miles per month? 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. H₂ :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage of Citrus cars is less than 1600 miles per month? OYes ONO H Ix O S X 00 0#0 O0
Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1600 miles per month. ? Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 16 recent mileages of Citrus cars was taken. The mean of these 16 mileages was 1517 miles per month, and the standard deviation was 233 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1600 miles per month? 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. H₂ :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage of Citrus cars is less than 1600 miles per month? OYes ONO H Ix O S X 00 0#0 O0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Español
Citrus Rental is a popular car rental agency that has a history of having
too few cars available, so that its available cars are overdriven. The
mean monthly mileage over the years for Citrus cars has been about 1600
miles per month.
?
Recently, though, Citrus purchased thousands of new cars, and the
company claims that the average mileage of its cars is now less than in
the past. To test this, a random sample of 16 recent mileages of Citrus
cars was taken. The mean of these 16 mileages was 1517 miles per month,
and the standard deviation was 233 miles per month.
Assume that the population of recent monthly mileages of Citrus cars is
normally distributed. At the 0.05 level of significance, can it be concluded
that the mean recent monthly mileage, μµ, of Citrus cars is less than 1600
miles per month?
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.
Ho
H₁ :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the critical value. (Round to three or more decimal places.)
(e) At the 0.05 level of significance, can it be concluded that the mean recent
monthly mileage of Citrus cars is less than 1600 miles per month?
OYes ONO
3
|x
4
0#0
a
0=0 OSO
X
2
O<O
Р
3
<Q
P
Olo
ロマロ
O<O
Transcribed Image Text:Citrus Rental is a popular car rental agency that has a history of having
too few cars available, so that its available cars are overdriven. The
mean monthly mileage over the years for Citrus cars has been about 1600
miles per month.
Recently, though, Citrus purchased thousands of new cars, and the
company claims that the average mileage of its cars is now less than in
the past. To test this, a random sample of 16 recent mileages of Citrus
cars was taken. The mean of these 16 mileages was 1517 miles per month,
and the standard deviation was 233 miles per month.
Assume that the population of recent monthly mileages of Citrus cars is
normally distributed. At the 0.05 level of significance, can it be concluded
that the mean recent monthly mileage, μ, of Citrus cars is less than 1600
miles per month?
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.
H₂ : O
H₁ :0
(b) Determine the type of test statistic to use.
(Choose one)
(c) F
Chi-square
e test statistic. (Round to three or more decimal places.)
F
(d) Find the critical value. (Round to three or more decimal places.)
(e) At the 0.05 level of significance, can it be concluded that the mean recent
monthly mileage of Citrus cars is less than 1600 miles per month?
OYes O No
μ
X
4
0#0
a
X
S
0=0 OSO
00
O<O
Р
p
S
ola
020
O<O
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