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Chapter 13: Q.7 (page 764)

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

State the alternative hypothesis for a one-way ANOVA test if there are three groups .

Short Answer

Expert verified

The Alternate hypothesis for a one-way ANOVA test is simply that, at least one pair of means is different.

Step by step solution

01

Given Information

Five basic assumptions must be fulfilled to perform a one-way ANOVA test.

We have to state the alternative hypothesis for a one-way ANOVA test if there are three groups

02

Explanation

The Alternate hypothesis for a one-way ANOVA test is simply that, at least one pair of means is different. The alternate hypothesis for the three groups is given below:

H1: At least two of the group means渭1,渭2and 渭3are not equal

Where,渭1is the mean of the first group, 渭2is the mean of the second group, and 渭3is the mean of the third group.

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Most popular questions from this chapter

Three different traffic routes are tested for mean driving time. The entries in the Table 13.18 are the driving times in minutes on the three different routes.

Route 1
Route 2
Route 3
30
27
16
32
29
41
27
28
22
35
36
31

StateSSbetween,SSwithin,and the Fstatistic.

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.

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 the p-value?

60. Suppose a group is interested in determining whether teenagers obtain their drivers 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 drivers licenses.


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
x炉=
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s2=
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State the hypotheses.
H0:-----
Ha:-----

13.2 The F Distribution and the F-Ratio
Use the following information to answer the next three exercises. Suppose a group is interested in determining whether teenagers obtain their drivers 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 drivers licenses.


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

--------------------
--------------------
-------------------
-------------------
-----------------

--------------------
--------------------
-------------------
-------------------
-----------------

H0:渭1=渭2=渭3=渭4=渭5
H伪: At least any two of the group means 渭1,渭2,鈥�,渭5 are not equal.

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
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