Question

The table below lists the numbers of words spoken in a day by each member of randomly selected couples. Complete parts below. Use a 0.05 significant level to test the claim that among couples, males speak fewer words in a day than females.

Female	27000	16870	28783	25177	21677	17178	26813	23831
Male	22665	23117	17592	12991	11902	20167	14957	20671

First, you need to check the requirements.

1) it is a __________ _________ Sample;

2) either the number of pairs of sample data is > _____ or the original population has approximately normal distribution of difference of numbers of words spoken from a couple.

3) why is this a matched pair? Not independent samples?_________________________

a. After computing sample mean difference = 5408 and Sd =7097, then the test statistic you use is _____ with degree of freedom is ______

b. Write the formula for the test statistic:______________________

c. Write a Hypothesis statement:______________________

_____________________

d. Draw a distribution diagram and place the test statistic in it and shade the corresponding P-value.

e. Do you expect P value to be smaller or larger?______________

f. What is your conclusion ______________________________ and it means in this context:

g. _______________________________________________________________________. Error?________

h.Construct the confidence interval that could be used for the Hypothesis test a ______% CI

i. Is it consistent with the result of H test? Explain.

Answer 1

The hypothesis being tested is:

H0: µd = 0

Ha: µd > 0

Female	Male	Difference
27000	22665	4335
16870	23117	-6247
28783	17592	11191
25177	12991	12186
21677	11902	9775
17178	20167	-2989
26813	14957	11856
23831	20671	3160
	23,416.13	mean Female
	18,007.75	mean Male
	5,408.38	mean difference (Female - Male)
	7,097.13	std. dev.
	2,509.22	std. error
	8	n
	7	df
	2.155	t
	.0340	p-value (one-tailed, upper)
	-524.978	confidence interval 95.% lower
	11,341.73	confidence interval 95.% upper
	5,933.35	margin of error

The test statistic is 2.155.

The p-value is 0.0340.

df = 7

The 95% confidence interval is between -524.978 and 11341.73