# Descriptive Statistics, Correlation, T-Test, ANOVA

This exercise requires you to use an electronic spreadsheet, such as Microsoft's Excel, to compute information about a data set. The data set is shown in Table 1 below. There are three groups in the complete data set:

Group 1 Learning via the Lecture method of instruction

Group 2 Learning via the Cooperative method of instruction

Group 3 Learning via Computer-based instruction

The scores in each group are the final examination scores of students in the three groups. The scores represent overall knowledge learned under each method of instruction. The higher the score, the more knowledge learned. The Independent and Dependent variables are:

Independent variable - the method of instruction at three levels: Lecture, Cooperative, and Computer.

Dependent variable - the final examination score.

A B C

1 Group 1 Group 2 Group 3

2 78 45 77

3 88 54 75

4 96 65 34

5 77 47 88

6 83 77 97

7 85 61 69

8 90 53 45

9 85 69 90

10 95 70 85

11 68 45 66

a. Compute the descriptive statistics for Group 1.

As a check on your work for Group 1 you should obtain the following:

Mean 84.5

Standard Error 2.704933764

Meadian 85

Mode 85

Standard deviation 8.553751614

Sample Variance 73.16666667

Kurtosis 0.13658086

Skewness -0.51130504

Range 28

Sum 845

Count 10

Largest 96

Smallest 68

Confidence level (95.0%) 6.118989952

b. Calculate the correlation coefficient between Groups 1 and 2.

c. Perform a t-Test between Groups 1 and 2.

d. Perform analysis of variance (ANOVA)

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