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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

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?

A researcher wants to know if the mean times (in minutes) that people watch their favorite news station are the same. Suppose that Table 13.24 shows the results of a study.

Suppose a group is interested in determining whether teenagers obtain their driver's licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their driver's licenses.

NortheastSouthWestCentralEast16.316.916.416.217.116.116.516.516.617.216.416.416.616.516.616.516.216.116.416.8x炉=s2=

伪=0.05

a) Decision: _____

b) Conclusion: _____

A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed 24individuals and asked them their daily one-way commuting mileage. The results are in Table 13.22. Using a 5%significance level, test the hypothesis that the three mean commuting mileages are the same.

The New York Choral Society divides male singers up into four categories from highest voices to lowest: Tenor1, Tenor2, Bass1, Bass2. In the table are heights of the men in the Tenor1 and Bass2 groups. One suspects that taller men will have lower voices, and that the variance of height may go up with the lower voices as well. Do we have good evidence that the variance of the heights of singers in each of these two groups (Tenor1 and Bass2) are different?

Tenor1Bass2Tenor1Bass2Tenor1Bass2
697267726867
727570746770
716765706470
66757266
69
76747068
72
74726875
71
71726468
74
66747370
75
68726672
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