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Chapter 13: Q.1 (page 764)

Use the following information to answer the next five exercises. There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?. Write one assumption.

Short Answer

Expert verified

The first assumption for one-way ANOVA is that the each population from which sample is taken is assumed to be normal.

Step by step solution

01

Step-1 Given Information

Given in the question that there are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. we have to write one assumption. .

02

Step-2 Explanation

A one-way ANOVA is a type of statistical testaims to assess multiple mutually exclusive theories about our data.it is used to determine the significance difference among several group means. The first assumption for one-way ANOVA is that the each population from which sample is taken is assumed to be normal.

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Most popular questions from this chapter

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?

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: _____

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=
-------------------
-------------------
-------------------
-------------------
-------------------
s2=
-------------------
-------------------
-------------------
-------------------
-------------------

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.

Two students are interested in whether or not there is variation in their test scores for math class. There are 15 total math tests they have taken so far. The first student鈥檚 grades have a standard deviation of 38.1. The second student鈥檚 grades have a standard deviation of 22.5. The second student thinks his scores are more consistent.

What is the p-value?

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

Write a third assumption
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