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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

What is Fstatistic?

Short Answer

Expert verified

Thus, value of F-Statistic is 3.61.

Step by step solution

01

Given Information

Use the below-given table of three different groups of target markets for the game, to calculate

Fstatistic.

Group AGroup BGroup C10115110110814910998160198107112186111126160

02

Explanation

To calculate F-Statistic, use Ti-83calculator. For this, click on START →press 1→EDIT, then put the above given weights of different groups data into the list L1,L2, and L3. The screenshot is given as below:

Now Again press START →arrow over the TESTS →arrow down to ANOVA →Press var then select 1, press var then select 2and press var then select 3to fill the values of L1,L2, and L3. The screen shot is given as below:

03

Final Answer

Press ENTER. The screenshot of the obtained output of the calculated value FStatistic is given as below

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Most popular questions from this chapter

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¯=s2=

α=0.05

a) Decision: _____

b) Conclusion: _____

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.

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
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48.6

Determine whether or not the variance in weight gain is statistically the same among Javier’s and Linda’s rats. Test at a significance level of 10%

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

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¯=
-------------------
-------------------
-------------------
-------------------
-------------------
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:μ1=μ2=μ3=μ4=μ5
Hα: At least any two of the group means μ1,μ2,…,μ5 are not equal.

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

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