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 15,919 26,768 1447 7766 18,809 15,044 13,710 26,576   Female 24,862 13,288 18,663 17,711 12,702 17,351 16,162 18,175         a. Use a 0.05 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 ▼   not equals≠ greater than> less than< equals= _____ ​word(s) H1​: μd ▼   less than< equals= greater than> not equals≠ ​_____ word(s) ​(Type integers or decimals. Do not​ round.) Identify the test statistic.   t=_____ ​(Round to two decimal places as​ needed.) Identify the​ P-value.   ​P-value=_____ ​(Round to three decimal places as​ needed.) 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.   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 ____ ​word(s)<μd< _____ ​word(s). ​(Round to the nearest integer as​ needed.) What feature of the confidence interval leads to the same conclusion reached in part​ (a)?   Since the confidence interval contains ▼   zero, only negative numbers, only positive numbers, ▼   reject fail to reject the null hypothesis.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
15,919
26,768
1447
7766
18,809
15,044
13,710
26,576
 
Female
24,862
13,288
18,663
17,711
12,702
17,351
16,162
18,175
 
 
 
 
a. Use a 0.05 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
 
not equals≠
greater than>
less than<
equals=
_____ ​word(s)
H1​:
μd
 
less than<
equals=
greater than>
not equals≠
​_____ word(s)
​(Type integers or decimals. Do not​ round.)
Identify the test statistic.
 
t=_____
​(Round to two decimal places as​ needed.)
Identify the​ P-value.
 
​P-value=_____
​(Round to three decimal places as​ needed.)
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.
 
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 ____ ​word(s)<μd< _____ ​word(s).
​(Round to the nearest integer as​ needed.)
What feature of the confidence interval leads to the same conclusion reached in part​ (a)?
 
Since the confidence interval contains
 
zero,
only negative numbers,
only positive numbers,
 
reject
fail to reject
the null hypothesis.
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