SOLUTION: 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 bet

Algebra ->  Probability-and-statistics -> SOLUTION: 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 bet      Log On


   

Question 1082859: 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 age
16
28
27
58
26
 
​Actor's age
49
48
61
55
42
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
this is a two sample t-test with df=8 and critical value of |t|>1.860.
x bar for actresses is 31 and for actors 51.
The t-value is -2.56 and the p-value 0.045, which is significant.
t for two samples is (x1bar-x2bar)/(sqrt (s1^2/n1)+(s2^2/n2))