A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 13,180 miles. A random sample of 19 cars firm had a mean of 12,957 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from thi miles. Assume that the population is normally distributed, 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 (a) State the null hypothesis H, and the alternative hypothesis H,. H, :

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A leasing firm claims that the mean number of miles driven annually, \( \mu \), in its leased cars is less than 13,180 miles. A random sample of 19 cars leased from this firm had a mean of 12,957 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 2,080 miles. Assume that the population is normally distributed. 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 \( H_0 \) and the alternative hypothesis \( H_1 \).

\( H_0 \): \( \)  
\( H_1 \): \( \)

(b) Determine the type of test statistic to use.

[Dropdown to choose type]

(c) Find the value of the test statistic. (Round to three or more decimal places.)

\[ \]

(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 13,180 miles?

[Options: Yes/No]

---

On the right side of the image, there's a list of symbols and test statistic options, as well as a button for help or further explanation.
Transcribed Image Text:A leasing firm claims that the mean number of miles driven annually, \( \mu \), in its leased cars is less than 13,180 miles. A random sample of 19 cars leased from this firm had a mean of 12,957 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 2,080 miles. Assume that the population is normally distributed. 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 \( H_0 \) and the alternative hypothesis \( H_1 \). \( H_0 \): \( \) \( H_1 \): \( \) (b) Determine the type of test statistic to use. [Dropdown to choose type] (c) Find the value of the test statistic. (Round to three or more decimal places.) \[ \] (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 13,180 miles? [Options: Yes/No] --- On the right side of the image, there's a list of symbols and test statistic options, as well as a button for help or further explanation.
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Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case you require the unanswered parts also, kindly re-post that parts separately.

Given claim:

The mean number of miles driven annually is less than 13180 miles.

a)

Null Hypothesis:

H0:μ13180

Alternative Hypothesis:

H1:μ<13180

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