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) 26 Actor (years) 27 34 26 35 28 25 45 32 33 D 65 40 40 39 26 36 48 35 40 41 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, µg 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 actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho Hd year(s) in bed. Hz: Hd year(s) (Type integers or decimals. Do not round.) Identify the test statistic. t%3D (Round to two decimal places as needed.) hrome-extel Enter your answer in each of the answer boxes. 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) 26 Actor (years) 27 34 26 35 28 25 45 32 33 65 40 40 39 26 36 48 35 40 41 P-value = |(Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. the null hypothesis. There 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)? ped. The confidence interval is year(s) < Hd< year(s). (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains V the null hypothesis. ne-extel Enter your answer in each of the answer boxes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
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) 26
Actor (years)
27
34
26
35
28
25
45
32
33 D
65
40
40
39
26
36
48
35
40
41
a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best
Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are
generally younger than Best Actors).
In this example, µg 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 actress's age minus the actor's age. What are the null and alternative
hypotheses for the hypothesis test?
Ho Hd
year(s)
in bed.
Hz: Hd
year(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t%3D
(Round to two decimal places as needed.)
hrome-extel Enter your answer in each of the answer boxes.
Transcribed Image Text: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) 26 Actor (years) 27 34 26 35 28 25 45 32 33 D 65 40 40 39 26 36 48 35 40 41 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, µg 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 actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho Hd year(s) in bed. Hz: Hd year(s) (Type integers or decimals. Do not round.) Identify the test statistic. t%3D (Round to two decimal places as needed.) hrome-extel Enter your answer in each of the answer boxes.
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) 26
Actor (years)
27
34
26
35
28
25
45
32
33
65
40
40
39
26
36
48
35
40
41
P-value =
|(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is
the significance level,
sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.
the null hypothesis. There
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)?
ped.
The confidence interval is
year(s) < Hd<
year(s).
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains
V the null hypothesis.
ne-extel Enter your answer in each of the answer boxes.
Transcribed Image Text: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) 26 Actor (years) 27 34 26 35 28 25 45 32 33 65 40 40 39 26 36 48 35 40 41 P-value = |(Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. the null hypothesis. There 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)? ped. The confidence interval is year(s) < Hd< year(s). (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains V the null hypothesis. ne-extel Enter your answer in each of the answer boxes.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL