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Chapter 13: Q. 61 (page 768)

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

Short Answer

Expert verified

The degree of freedom in the numerator is 4.

Step by step solution

01

Given information

Evaluate the data of five teenagers in each region of the country to estimate the degree of freedom in the numerator:

Northeast
South
West
Central
East
16.3
16.9
16.2
16.2
17.1
16.1
16.5
16.5
16.6
17.2
16.4
16.4
16.6
16.5
16.6
16.5
16.2
16.1
16.4
16.8
02

Explanation

Using the calculator Ti-83for the degree of freedom in the numerator. So, click on STAT 鈫�press 1鈫�EDIT, then put the weights of different groups data into the listL1,L2,and L3. The screenshot is:

03

Explanation

Then, again press STAT 鈫�arrow over the TESTS 鈫�arrow down to ANOVA 鈫�Press var then select 1, press var then select 2, press var then select 3, press var then select 4and press var then select 5to fill the values ofL1,L2,L3,L4and L5. The screen shot is:

04

Explanation

Press ENTER. The screenshot of the obtained output of calculated the degree of freedom in the numerator is:

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Most popular questions from this chapter

Use the following information to answer the next two exercises. There are two assumptions that must be true in order to perform anF test of two variances.

What is the other assumption that must be true?

What is the df(denom)?

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 the10% level. Assume that commute times are normally distributed. What is the F statistic?

Are the mean numbers of daily visitors to a ski resort the same for the three types of snow conditions? Suppose that Table 13.27 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.

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. Is the claim accurate?
See all solutions

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