SOLUTION: Listed below are ages of actress and actors from a country at the times they won a certain award. The data are paired according to the years they won. Use a 0.01 significance level
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Question 795956: Listed below are ages of actress and actors from a country at the times they won a certain award. The data are paired according to the years they won. Use a 0.01 significance level to test the belief that best actresses are younger than best actors. Does the result suggest a problem in that culture? Assume hat the paired sample data is a simple random sample and that the difference have a distribution that is approximately normal.
Best Actresses Best Actors (column 2)
24 40
42 56
29 41
26 34
35 29
27 41
32 41
40 49
36 26
27 52
33 42
41 39
25 56
21 62
28 62
Hypothesis test results:
μ1 : Mean of var1 (Std. dev. not specified)
μ2 : Mean of var2 (Std. Dev. not specified)
μ1 - μ2 : Difference between two means
H0 : μ1 - μ2 = 0
HA : μ1 - μ2 ≠ 0
Difference n1 n2 Sample mean Std. err. Z-stat P-value
μ1 - μ2 15 15 -13.6 3.3397082 -4.0722121 <0.0001
I am having a problem trying to figure out how to conclude and I want to make sure I am correct so far in my answer.
You can put this solution on YOUR website! since the p-value is lower than 0.01 you must reject H0
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Thanks
