II. Compute for the Independent T-Test of the following gathered data.

Research Problem:

A random sample of scores obtained in a statistics examination by eight male students and a random sample of

scores obtained in the same examination by eight female students. We are going to compare who did best in

statistical exam based on the gender involved.

Hypotheses:

Ho: There is no significant difference in statistical scores between two genders.

Ha: There is significant difference in statistical scores between two genders.

Data:

Male 79 88 64 91 83 91 89 74

Female 70 51 82 72 90 61 72 91

IV. Compute the for The Paired T-test of the following gathered data.

Research Problem:

Suppose that a study was conducted to determine the effect of a vegetarian diet on weight. The data below are

the weights (in kilogram) of 10 persons who were on a standard diet and who agreed to adopt a vegetarian diet for

one month. Weights were recorded before they adapted the diet and one month after.

Hypotheses:

Ho: There is no significant difference between the before and after results of diet in kilograms.

Ha: There is significant difference between the before and after results of diet in kilograms.

Data:

Before 70 65 64 74 55 68 66 72 58 62

After 67 60 62 70 54 65 62 67 53 60

V. Find the correlation of the gathered data.

Research Problem:

Suppose that you collected data on weights (in pounds) along with their heights (in inches) from a random

sample of 10 students. Is there any significant relationship between the weight and height of the random selected

students?

Hypotheses:

Ho: There is no significant correlation between weight and height of the students.

Ha: There is a significant correlation between weight and height of the students.

Data:

Height 63 59 62 67 62 71 67 59 72 68

Weight 100 140 113 122 109 180 139 90 122 100