MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
15,404
27,004
1416
7967
18,935
15,218
13,811
25,251
 
Female
23,640
13,808
17,811
17,282
12,990
16,570
16,018
18,137
 
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,
μd
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​:
μd
equals=
 
00
​word(s)
H1​:
μd
less than<
 
00
​word(s)
​(Type integers or decimals. Do not​ round.)
Identify the test statistic.
 
t=??
​(Round to two decimal places as​ needed.)
 
P=??
 
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)?
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