A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 12,880 miles. A random sample of 100 cars leased from this firm had a mean of 12,181 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 2780 miles. Is there support for the firm's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 12,880 miles. A random sample of 100 cars leased from
this firm had a mean of 12,181 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is
2780 miles. Is there support for the firm's claim at the 0.05 level of significance?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
H, :0
H :0
On
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(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) Can we support the leasing firm's claim that the mean number of miles
driven annually is less than 12,880 miles?
O Yes ONo
Ix
Transcribed Image Text:A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 12,880 miles. A random sample of 100 cars leased from this firm had a mean of 12,181 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 2780 miles. Is there support for the firm's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 On (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (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) Can we support the leasing firm's claim that the mean number of miles driven annually is less than 12,880 miles? O Yes ONo Ix
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