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Listed below are ages of actresses and actors at the time that they won an award...

Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a

0.01

significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal.

​Actress's age

17

26

24

51

30

​Actor's age

40

40

65

55

42

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?

A.

H0​:

μd=0

H1​:

μd≠0

B.

H0​:

μd≠0

H1​:

μd>0

C.

H0​:

μd≠0

H1​:

μd=0

D.

H0​:

μd=0

H1​:

μd<0

Identify the test statistic.

t=nothing

​(Round to two decimal places as​ needed.)

Identify the​ P-value.

​P-value=nothing

​(Round to three decimal places as​ needed.)

What is the conclusion based on the hypothesis​ test?

Since the​ P-value is

▼

greater

less

than the significance​ level,

▼

fail to reject

reject

the null hypothesis. There

▼

is

is not

sufficient evidence to support the claim that there is a difference between the ages of actresses and actors when they win the award.

math   Statistics-And-Probability   
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Answer #1

Actresss age : Actors age 26 51 30 40 65 SS -12 18-8 798.8 Claim There is difference (Actresss age) - (Actors Age) 40 42

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