6.Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts(a) and(b) below.

Male	15,230	27,129	1460	8031	19,425	15,594	14,195	25,041
Female	24,420	13,044	17,867	17,191	12,606	16,396	16,292	18,120

Question content area bottom

Part 1

a.Use a 0.01 significance level to test the claim that amongcouples, males speak fewer words in a day than females.In thisexample,d is the mean value of the differences d for the population of all pairs ofdata, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesistest?

H0:

d

not equals

equals=

less than<

greater than>

enter your response here

word(s)

H1:

d

less than<

greater than>

equals=

not equals

enter your response here

word(s)

(Type integers or decimals. Do notround.)

Part 2

Identify the test statistic.

t=enter your response here

(Round to two decimal places asneeded.)

Part 3

Identify theP-value.

P-value=enter your response here

(Round to three decimal places asneeded.)

Part 4

What is the conclusion based on the hypothesistest?

Since theP-value is

less than or equal to

greater than

the significancelevel,

fail to reject

reject

the null hypothesis. There

is not

is

sufficient evidence to support the claim that males speak fewer words in a day than females.

Part 5

b.Construct the confidence interval that could be used for the hypothesis test described in part(a). What feature of the confidence interval leads to the same conclusion reached in part(a)?

The confidence interval is

enter your response here

word(s)

word(s).

(Round to the nearest integer asneeded.)

Part 6

What feature of the confidence interval leads to the same conclusion reached in part(a)?

Since the confidence interval contains

only negative numbers,

zero,

only positive numbers,

fail to reject

reject

the null hypothesis.

7. In anexperiment, college students were given either four quarters or a$1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts(a) through(c) below.

	Purchased Gum	Kept the Money
Students Given Four Quarters	29	14
Students Given a$1 Bill	12	30

Question content area bottom

Part 1

a. Find the probability of randomly selecting a student who spent themoney, given that the student was given a$1 bill.

The probability is

enter your response here.

(Round to three decimal places asneeded.)

Part 2

b. Find the probability of randomly selecting a student who kept themoney, given that the student was given a$1 bill.

The probability is

enter your response here.

(Round to three decimal places asneeded.)

Part 3

c. What do the preceding resultssuggest?

A.

A student given a$1 bill is more likely to have spent the money than a student given four quarters.

B.

A student given a$1 bill is more likely to have kept the money than a student given four quarters.

C.

A student given a$1 bill is more likely to have spent the money.

D.

A student given a$1 bill is more likely to have kept the money.