Here is a practice SE problem (margin of error):
Nielsen is interested in seeing if the Northeast has different viewing patterns than the rest of the country, so they systematically choose a random sample of 800 homes and measure the TV ratings. They note that the rating for Sunday Night Football is 25. What is the SE?
Here is a sample SD problem:
An executive at ABC wants to know which sitcom to air this fall. Her choices are between two shows-- "Welcome home, son!" or "Married with Children... Again."
The first show was tested across the country and returned acceptance scores of 5,5,5,4,1 (on a scale of 1-5), and the second show returned scores of 5,4,4,4,3.
Which show should she choose and why?
Here is a sample z-Score problem:
Which show had the better year relative to expectations, The Bachelor or The Bachelorette? How do you know?
Average rating of The Bachelor: 6.1
SD: 4
This year's rating of The Bachelor: 7.1
Average rating of The Bachelorette: 4.5
SD: 2
This year's rating of The Bachelorette: 5.3
I would venture to say that the network exec should choose the first show "Welcome Home Son" Although both shows scored a 20, there were more fours than fives for "Married with Children...Again". The Bachelor had higher number results thus placing it in the prime rating as opposed to the Bachelorette which had lower ratings overall.
ReplyDeleteFor the first problem, SE= ~3.0. Therefore the range is 22.0 to 28.0.
ReplyDeleteFor the second problem, the SD of "Welcome home, son!" is 1.73 and the SD of "Married with Children...Again" is 0.71. Therefore, she should choose Married with Children because the number is lower, meaning the level of disagreement is lower. Thus that sitcom is a much more consistent show.
For this third problem, the z-score of the Bachelor is 0.25. The z-score for the Bachelorette is 0.4. Now, I think I could be interpreting these numbers wrong, but I assume that since 0.4 is greater than 0.25, then The Bachelorette did better than its male counterpart.