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) 27 30 29 Actor (years) 58 34 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). 32 24 28 45 33 31 29 37 35 26 34 46 35 36 46 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 actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? t = 0 year(s) Ho: Md H₁: Md < 0 year(s) (Type integers or decimals. Do not round.) Identify the test statistic. =(Round to two decimal places as needed.) =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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9.8

Identify the test statistic.

t = _____ (Round to two decimal places as? needed.)

Identify the p-value.

p= ____ (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 level is ____ year (s) < ?d < ____ year (s). Round to one decimal place.

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) 27 30 29
Actor (years) 58 34 37
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).
29 32 24 28 45 33 31
35 26 34 46 35 36 46
In this example, 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?
t=
0 year(s)
Ho: Pd
H₁: Hd <0 year(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
=
(Round to two decimal places as needed.)
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) 27 30 29 Actor (years) 58 34 37 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). 29 32 24 28 45 33 31 35 26 34 46 35 36 46 In this example, 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? t= 0 year(s) Ho: Pd H₁: Hd <0 year(s) (Type integers or decimals. Do not round.) Identify the test statistic. = (Round to two decimal places as needed.)
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