2. The Spoken Word listed below are the number of words spoken in a day by each member of six different couples. The data are randomly selected from the first two columns in Data Set 24 "Word Count" in Appendix B.

a. use a 0.5 significance level to test the claim that among couples, males speak fewer words in a day than females.

[This an example of dependent(matched pairs) samples. L1 = Male, L2 = Female, L1 - L2 STO> L3]

Male: 15,684 26429 1411 7771 18876 15477 14069 25835

Female: 24625 13397 18338 17791 12964 16937 16255 18667

[Hint: STAT -TESTS -T - Test, and then complete the required statistics] Select the appropriate one

below and complete the required values.

T - Test

Inpt: [Data] OR Inpt: [Stats]

:

o

:

o

List: L3

:

x

Freq: 1

:

n

:

o o o

:

o o o

Calculate Calculate

What is the test statistics? ______________________

What is the P - Value? __________________________

Should we reject or accept H0? __________________________

Give reasons for your answer____________________________

State your conclusion in the context of the problem

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)

[

Hint: STAT -

TESTS -

TInterval, and then complete the required statistics] Select the appropriate one below and

complete the required values.

TInterval

Inpt: [Data] OR Inpt: [Stats]

List: L3

:

x

:

Sx

Freq: 1

:

n

C Level

C Level

Calculate Calculate

What is the confidence interval?

Interpret your confidence interval in the context of the problem