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Part 1

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	16,195	26,778	1444	7522	18,322	15,174	14,184	25,096
Female	24,451	13,832	19,028	17,971	12,468	16,448	16,820	18,571

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Part 1

a. Use a

0.01

significance level to test the claim that among couples, males speak fewer words in a day than females.

In this example,

d

is the mean value of the differences d for the population of all pairs of data, 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 hypothesis test?

H0:

d

not equals

equals=

less than<

greater than>

enter your response here

word(s)

H1:

d

equals=

less than<

not equals

greater than>

enter your response here

word(s)

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic.

t=enter your response here

(Round to two decimal places as needed.)

Part 3

Identify the P-value.

P-value=enter your response here

(Round to three decimal places as needed.)

Part 4

What is the conclusion based on the hypothesis test?

Since the P-value is

greater than

less than or equal to

the significance level,

reject

fail to reject

the null hypothesis. There

is

is not

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 as needed.)

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.