The following data lists the ages of a random selection of actresses when they won an award in the category of Best​ Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts​ (a) and​ (b) below.

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The following data lists the ages of a random selection of actresses when they won an award in the category of Best​ Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts​ (a) and​ (b) below.
 
Actress (years)
28
25
32
30
35
28
28
42
27
36
 
Actor (years)
65
41
34
35
29
31
48
35
41
43
 
Identify the test statistic.
t=enter your response here
​(Round to two decimal places as​ needed.)
 
Identify the​ P-value.
​P-value=enter your response here
​(Round to three decimal places as​ needed.)
 
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
enter your response here
​year(s)<μd<enter your response here
​year(s).
​(Round to one decimal place as​ needed.)
 
 
 

 

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Step 1

Given that

Data of 

Actor and Actress

Statistics homework question answer, step 1, image 1

We have to find

t test statistic

Pvalue 

Confidence interval 

 

 

 

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