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Chapter 13: Q.25 (page 765)

What happens to the curves as the degrees of freedom for the numerator and the denominator get larger?

Short Answer

Expert verified

As the degree of freedom in the numerator and the degree of freedom in denominator increases, the curve of the F-statistics approximate to the normal distribution.

Step by step solution

01

Given Information

Girls from four different soccer teams are to be tested for mean goals scored per game. The entries in the table are the goals per game for the different teams.

Team 1 Team 2 Team 3 Team 4
1203
2304
0214
3413
2402
02

Explanation

As the degree of freedom in the numerator and the degree of freedom in denominator increases, the curve of the F-statistics approximate to the normal distribution.

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Most popular questions from this chapter

A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown in the Table.

Group AGroup BGroup C10115110110814910998160198107112186111126160

What is Fstatistic?

Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20commutes. The first worker鈥檚 times have a variance of 12.1. These coworkers' times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times. Test the claim at the 10% level. Assume that commute times are normally distributed. What is s2 in this problem?

Are the means for the final exams the same for all statistics class delivery types? Table 13.25 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 of 0.05.

A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown in the Table.

Group AGroup BGroup C10115110110814910998160198107112186111126160

At the 10%significance level, are the scores among the different groups different?

61. degrees of freedom - numerator: df(num)=
See all solutions

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