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 15,071 25,527 1461 8061 18,248 15,565 13,845 25,042   Female 24,849 13,483 18,874 18,503 12,530 17,604 15,855 19,353         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 ▼   greater than> not equals≠ equals= less than< nothing ​word(s) H1​: μd ▼   less than< equals= greater than> not equals≠ nothing ​word(s) ​(Type integers or decimals. Do not​ round.) Identify the test statistic.   t=negative  ​(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,k less than or equal to   the significance​ level, fail to reject or reject   the null hypothesis. There is or 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 negative ???​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 ---   fail to reject or reject   the null hypothesis.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
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
15,071
25,527
1461
8061
18,248
15,565
13,845
25,042
 
Female
24,849
13,483
18,874
18,503
12,530
17,604
15,855
19,353
 
 
 
 
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
 
greater than>
not equals≠
equals=
less than<
nothing
​word(s)
H1​:
μd
 
less than<
equals=
greater than>
not equals≠
nothing
​word(s)
​(Type integers or decimals. Do not​ round.)
Identify the test statistic.
 
t=negative 
​(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,k less than or equal to
 
the significance​ level,
fail to reject or reject
 
the null hypothesis. There
is or 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
negative ???​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 ---
 
fail to reject or reject
 
the null hypothesis.
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