The comparison distribution: For each of the following situations, state whether
ID: 3302118 • Letter: T
Question
The comparison distribution: For each of the following situations, state whether the distributions of interest are a z distribution, a t distribution, or an f distribution. Explane your answer.
A. A city employee locates a U.S. census report that includes the mean and standard deviation for income in the state of Wyoming and then takes a random sample of 100 residents of the city of Cheyenne. He wonders whether residents of Cheyenne earn more, on average, than Wyoming residents.
B. A researcher studies the effect of different contexts on work interruptions. Using discreet video cameras, she observes employees working in enclosed offices in the workplace, in open cubicles in the workplace, and in home offices.
C. An honors student wondered whether an education in statistics reduces the tendency to believe in cites data. He compares social science majors who had taken statistics and social science majors who had not taken statistics with respect to their responses to an interactive advertising assessment.
Explanation / Answer
In A) we have given population mean and standard deviation.
Also sample of size 100. When we know population parameters mean and standard deviation in that case we use
Z- distribution.
B) In this situation we have to compare effect of different context in workplace. There are more than three different workplace category. Such as 1) employee working in enclosed office 2) employee working in open office 3) employee working from home.
When we have to check more than two category in that case we use f distribution .
C) In this case we don't have population parameters . In this context we have to find sample mean and sample standard deviation .
When we use sample information in this case we use t- test.
It means we use t distribution.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.