According to reports from a leasing company, the average number of miles their leased cars are driven annually is 13,260miles with a standard deviation of 1500 miles. The company has recently started using new contracts that require customers to maintain the cars themselves. The business owner believes that the average number of miles the cars are driven annually under the new contractsμ, is less than 13,260miles. The owner takes a random sample of31cars under the new contracts. The cars in the sample had been driven an average of 13,092 miles. Assume that the population follows a normal distribution. Is there support for the claim, at the level of significance of0.10, that the population mean number of miles that cars are driven annually under the new contracts is less than 13,260 miles? Assume that the population standard deviation of miles driven annually was not affected by the change in contracts. Perform a one-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas.) (to) Formulate the null hypothesish and the alternative hypothesish. (b) (c) (d) ho h₁ Determine what 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 p-value. (Round to three or more decimal places.) H X 4 O S X U₂ ☐☐ □<口 Р ローロ OSO 020 P □<口

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Author:Amos Gilat
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According to reports from a leasing company, the average number of miles their leased cars are driven annually is13,260miles with a standard deviation of 1500
miles. The company has recently started using new contracts that require customers to maintain the cars themselves. The business owner believes that the
average number of miles the cars are driven annually under the new contractsu,is less than 13,260miles. The owner takes a random sample of31cars under the
new contracts. The cars in the sample had been driven an average of 13,092 miles. Assume that the population follows a normal distribution. Is there support for
the claim, at the level of significance of0.10, that the population mean number of miles that cars are driven annually under the new contracts is less than13,260
miles? Assume that the population standard deviation of miles driven annually was not affected by the change in contracts.
Perform a one-tailed test. Then complete the following.
Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .)
(to) Formulate the null hypothesish and the alternative hypothesish
(b)
(c)
(d)
h
0
h₁
:
0
Determine what 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 p-value. (Round to three or more decimal places.)
3
μ
XI
О р
S
0=0 OSO
X
0#0 0<0
d>
Ś
0|0
☐☐
Transcribed Image Text:According to reports from a leasing company, the average number of miles their leased cars are driven annually is13,260miles with a standard deviation of 1500 miles. The company has recently started using new contracts that require customers to maintain the cars themselves. The business owner believes that the average number of miles the cars are driven annually under the new contractsu,is less than 13,260miles. The owner takes a random sample of31cars under the new contracts. The cars in the sample had been driven an average of 13,092 miles. Assume that the population follows a normal distribution. Is there support for the claim, at the level of significance of0.10, that the population mean number of miles that cars are driven annually under the new contracts is less than13,260 miles? Assume that the population standard deviation of miles driven annually was not affected by the change in contracts. Perform a one-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish (b) (c) (d) h 0 h₁ : 0 Determine what 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 p-value. (Round to three or more decimal places.) 3 μ XI О р S 0=0 OSO X 0#0 0<0 d> Ś 0|0 ☐☐
Perform a one-tailed test. Then complete the following.
Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .)
(to) Formulate the null hypothesish and the alternative hypothesish
ho :0
0
(b)
(c)
h₁
1
(d)
:0
1'
Determine what 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 p-value. (Round to three or more decimal places.)
0
(and) Can we support the claim that the population mean number of miles cars are
driven annually under new contracts is less than13,260miles?
O Yeah O No
μ
X
0=0
0#0
X
a
S
☐<☐
Р
<Q
OSO 0²0
Ś
00
□<ロ
Transcribed Image Text:Perform a one-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish ho :0 0 (b) (c) h₁ 1 (d) :0 1' Determine what 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 p-value. (Round to three or more decimal places.) 0 (and) Can we support the claim that the population mean number of miles cars are driven annually under new contracts is less than13,260miles? O Yeah O No μ X 0=0 0#0 X a S ☐<☐ Р <Q OSO 0²0 Ś 00 □<ロ
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