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 0.10 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 15 28 22 55 25 D age Actor's age 46 49 62 54 40 In this example, Ha 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. Identify the test statistic. (Round to two decimal places as needed.) t = Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? V than the significance level, V sufficient evidence to Since the P-value is the null hypothesis. There support the claim that there is a difference between the ages of actresses and actors when they win the award.

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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
0.10 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
15
28
22
55
25 D
age
Actor's age 46
49
62
54
40
In this example, Ha 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.
Identify the test statistic.
(Round to two decimal places as needed.)
t =
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
V than the significance level,
V sufficient evidence to
Since the P-value is
the null hypothesis. There
support the claim that there is a difference between the ages of actresses and actors when they win the award.
Transcribed Image Text: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 0.10 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 15 28 22 55 25 D age Actor's age 46 49 62 54 40 In this example, Ha 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. Identify the test statistic. (Round to two decimal places as needed.) t = Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? V than the significance level, V sufficient evidence to Since the P-value is the null hypothesis. There support the claim that there is a difference between the ages of actresses and actors when they win the award.
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