HELEN M. ANTONIOMed- Science

Analysis of Variance1. Participants were randomly selected and divided into three groups for the purpose of

testing three different methods of weight reduction. One method used exercise, one method used dietary techniques, and another method used a standard drug treatment. The reduction in weight (in Pounds) was recorded after 6- month period. The results are as follows

Diet Exercise Drug15 10 712 12 610 8 811 9 612

a. Is there a significant variation in the data to reject the hypothesis x diet = x exercise = x drug at x = 0.05?

Decision: Reject Ho.

Decision: Reject Ho.

Conclusion: Significant difference was marked by looking the mean difference which is

significant at 0.05 level. Thus, there is significant differences shown by the groups and this was

between the diet and the drug group.

2. Students with nutritional status of Severely wasted were randomly selected and divided

into three groups for the purpose of testing three different methods of weight gain using

feeding program. One method used feeding in the morning, and another in the afternoon,

and another in early dinner. The gain in weight (in kilograms) was recorded after a 6-

month period. The results are as follows:

Breakfast Lunch Dinner5 2 12 7 22 8 11 5 12

a. Is there a significant variation in the data to reject the hypothesis x Breakfast = x Lunch = x dinner at x = 0.05?

Decision: Reject Ho

T-test for independent samples

A study on what men and women think about sex bias shows the following results. High Scores means positive view or less sex bias. Scores are shown below.

Men Women80 8572 8971 7660 8365 8570 8478 8879 86

a. Is there a difference in perception? Use alpha= 0.05.

Decision: Reject Ho. The computed t is greater than the critical value.

Conclusion: There is a significant difference between the two groups’ views on sex bias with women

having better views than men. (Go back to the means for a better analysis). Men showed more prejudices to women thought.

2. Urban and rural youths were compared over the number of projects they sponsored within the duration of their term. Results are shown below:

Project SponsoredUrban Rural

5 24 12 33 21 12 23 13 22 11 32 23 24 34 2

a. Is there enough evidence to claim that urban youths have more projects than rural youths? Use α = .05

The table shows that since the computed t, 2.300 is greater than the critical value, the null hypothesis is rejected.

There is significant difference between the numbers of projects sponsored by the two groups: urban and rural youths. (Go back to the means for a better analysis). Urban youths have more projects than rural youths.

Pearson Product- Moment

1. Is there a relationship between salary and job satisfaction?

Individual Salary / mo (thousand) Job Satisfaction1 30 1002 20 783 21 994 18 855 15 866 11 80

Decision: Accept Ho since the computed rho (0.724) is less than the critical value

Conclusion: Due to insufficient evidence, the null hypothesis failed to be rejected. There is no relationship between salary and job satisfaction.

The Sprearman Rho

The following figures show the evaluation of freshmen and sophomore students of their teachers.

Teachers Freshmen Sophomores1 10 92 9 103 8 84 7 75 6 56 5 47 4 68 3 3

Decision: Reject Ho since the computed rho (0.905) is greater than the critical value.

Conclusion: the ratings given by the freshmen and sophomores to their teachers are related. It means that the ratings are valid.