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January 31, 2015

Posted by **TLC** on Wednesday, October 20, 2010 at 12:15pm.

Group 1 Group 2 Group 3 Group 4

50 59 60 49

45 57 49 45

42 57 56 45

41 55 55 42

40 56 54 41

39 53 51 39

44 48 46 47

What test is most appropriate for this data and hypothesis?

Chi-square

Analysis of Variance

Dependent t-test

One-Sample z-test

Question 2

What is the null hypothesis?

mGroup1 > mGroup 2 > mGroup3 > mGroup4

mGroup1 < (mGroup 2 + mGroup3 + mGroup4) / 3

mGroup1 = mGroup 2 = mGroup3 = mGroup4

Question 3

What is the value for the observed test statistic?

2.55

17.16

28.59

Question 4

The degrees of freedom for the test are:

3 and 6

4 and 27

3 and 24

4 and 28

Question 5

If the alpha level chosen is .01, the researchers can conclude from the F-test results that:

Groups 1 and 2 are significantly different from Groups 3 and 4

Groups 2, 3, and 4 are significantly different than the Control (Group 1).

There is a significant difference among these groups.

There are no significant differences among the groups.

- statistics -
**MathGuru**, Wednesday, October 20, 2010 at 7:21pmHere are a few comments to get you started.

There is a hint of the type of test to perform on this data in Question 5. (Hint: F-test)

Null hypothesis uses equal signs.

Compute the test statistic based on the test chosen for the data.

Degrees of freedom for this type of F-test:

To calculate df between:

k - 1

Note: k = number of levels or groups.

To calculate df within:

N - k

Note: N = total number of values in all levels or groups.

If the null is rejected, there is a significant difference among the groups.

If the null is not rejected, then there is no difference.

I'll let you take it from here.

**Answer this Question**

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