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Chapter 13: Q. 63 (page 768)

63. F statistic =----

Short Answer

Expert verified

The F statistic is 4.2196.

Step by step solution

01

Given information

Evaluate the data of five teenagers in each region of the country to evaluate the Fstatistic value:

Northeast
South
West
Central
East
16.3
16.9
16.4
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-83 to calculate F-statistic value. Then, click on STAT press 1→EDIT, then put the values of different groups data into the list L1,L2,L3,L4and L5. The screenshot is,

03

Explanation

Then, press STAT →arrow over the TESTS→arrow down to ANOVA →ENTER →Press 2ndthen select 1, press 2ndthen select 2, press 2ndthen select 3, press 2ndthen select 4and press 2ndthen select 5to enter the values of L1,L2,L3,L4and L5. The screen shot is:

04

Explanation

Press ENTER. The screenshot of the obtained output of calculatedFstatistic is

Hence, Fstatistic value is4.2196.

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Most popular questions from this chapter

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.

What is the F statistic?

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.

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.

When do you use an ANOVA test?

64. 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 hypothesis that the three formulas produce the same mean weight gain

Linda's rats
Tuan's rats
Javier's rats
43.5
47.0
51.2
39.4
40.5
40.9
41.3
38.9
37.9
46.0
46.3
45.0
38.2
44.2
48.6
See all solutions

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