Q1.

A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 20%. A researcher wants to test this. A random sample of 260 students at this college is selected, and it is found that 34 commute more than fifteen miles to school. Is there enough evidence to support the college'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.

(a)	State the null hypothesis H0 and the alternative hypothesis H1.
H0:
H1:
(b)	Determine the type of test statistic to use.
	(Choose one- Z, t, Chi-square, F)
(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)	Is there enough evidence to support the claim that the proportion of students who commute more than fifteen miles to school is less than 20%?
Yes No

Q2.

Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 12.1 minutes. The standard deviation of completion times was 1.2 minutes. An analyst at the company suspects that, under new management, the mean completion time, , is now less than 12.1

minutes. To test this claim, a random sample of 150 completion times under new management was taken by the analyst. The sample had a mean of 12 minutes. Can we support, at the 0.10 level of significance, the claim that the population mean completion time under new management is less than 12.1 minutes? Assume that the population standard deviation of completion times has not changed under new management.

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.

(a)	State the null hypothesis H0 and the alternative hypothesis H1.
H0:
H1:
(b)	Determine the type of test statistic to use.
	(Choose one- Z, t, Chi-square, F)
(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 claim that the population mean completion time under new management is less than 12.1 minutes?
Yes No

Q3.

On their website, a property management company states that the mean monthly rent for apartments on the east side of town is $700. A researcher for a consumer advocacy group believes that, due to the construction of newer apartment complexes in neighboring towns, the mean monthly rent on the east side, , is now lower. A random sample of 19 monthly rents for apartments on the east side has a mean of $688, with a standard deviation of $24.

Assume that current monthly rents for apartments on the east side are approximately normally distributed. Based on the sample, is there enough evidence to conclude, at the 0.05 level of significance, that the population mean monthly rent is now less than what is stated on the website?

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places.

(a)	State the null hypothesis H0 and the alternative hypothesis H1.
H0:
H1:
(b)	Determine the type of test statistic to use.
	(Choose one - Z, t, Chi-square, F)
(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 conclude that the mean monthly rent for apartments on the east side is less than what is stated on the website?
Yes No

Q4.

Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been

75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 75%. A poll is commissioned, and 206 out of a random sample of 270 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places.

(a)	State the null hypothesis H0 and the alternative hypothesis H1.
H0:
H1:
(b)	Determine the type of test statistic to use.
	(Choose one- Z, t, Chi-square, F)
(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)	Is there enough evidence to support the political scientist's claim that the proportion of college students who say they're interested in their district's election results is more than 75%?
Yes No