12.4 Facts About the F Distribution
Non-negative values, right skew, and dependence on a numerator and denominator df pair, with worked data showing how critical values shift as sample sizes change.
Introductory Business Statistics 2e, 12.4 Facts About the F Distribution
12 exercises
12.4 Exercise 2
What happens to the curves as the degrees of freedom for the numerator and the denominator get larger?
12.4 Exercise 4
What is the df(denom)?
12.4 Exercise 6
What are the Sum of Squares and Mean Squares Errors?
12.4 Exercise 8
What is the p-value?
12.4 Exercise 10
What is the df(num)?
12.4 Exercise 12
What are the SSbetween and MSbetween?
12.4 Exercise 14
What is the F Statistic?
12.4 Exercise 16
At the 10% significance level, are the scores among the different groups different?
Weights of Student Lab Rats
Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 10%, test the hypo…
12.4 Exercise 23
Eliminate one magazine type that you now feel has a mean length different from the others. Redo the hypothesis test, testing that the remaining three means are statistically the same. Use a new solution sheet. Based on this test, are the mean lengths for the remaining three magazines statistically the same?
12.4 Exercise 25
Are the means for the final exams the same for all statistics class delivery types? the table shows the scores on final exams from several randomly selected classes that used the different delivery types.
Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance o…
12.4 Exercise 27
Are the mean numbers of daily visitors to a ski resort the same for the three types of snow conditions? Suppose that the table shows the results of a study.
Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.
Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.