Question

1. In terms of acting, Betty White is known for starring on 3 different long running television shows (The Mary Tyler Moore Show, The Golden Girls and Hot In Cleveland). Those three shows averaged 23.7 shows per season. However, it seems that shows are producing few episodes per season, and Betty decides to put that to the test. She takes a random sample of long running television programs and determined the number of episodes in their most recent season below:

13, 26, 23, 18, 24, 18, 19, 13, 13, 15, 16, 21, 20, 16, 26

You may assume that the data comes from a normal distribution.

1. Construct a 95% confidence interval for the average number of episodes per season for a television program

2. Based on your answer to (a), can we say that the average number of episodes per season is lower than the value 23.7, the average number of episodes for the shows that Betty starred in? Explain.

Answer 1

i am using mintab to solve the problem.

steps :-

copy the data in minitab and name the column x stat basic statistics 1-sample T select one or more samples, each in a column from the drop down menu in the blank box below select xoptions in confidence level type 95 select alternative hypothesis as mean hypothesized mean okok.

*** SOLUTION ***

a). The 95% confidence interval for the average number of episodes per season for a television program is :-

= ( 16.23 , 21.24 )

b).YES,we can say that the average number of episodes per season is lower than the value 23.7.

because, the upper limit of the confdience interval is 21.24, which is less than 23.7, the average number of episodes for the shows that Betty starred in.

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.