Question

1. What test would you use in each of the following contexts?

1. A research study was conducted to examine the differences between older and younger adults on perceived life satisfaction. A pilot study was conducted to examine this hypothesis. five older adults (over the age of 70) and five younger adults (between 20 and 30) were give a life satisfaction test (known to have high reliability and validity). Scores on the measure range from 0 to 60 with high scores indicative of high life satisfaction; low scores indicative of low life satisfaction. Now you would like to know if there is a significant difference in the life satisfaction of these adults groups. (0.25 Points)

                                

Older Adults	Younger Adults
45	34
38	22
52	15
48	27
25	37

1. Now you would like to know if there is a significant difference in the life satisfaction of these adults groups. (0.25 Points)

2. Compare if two distributions are the same. (0.25 Points)

3. Compare the effect of dosage of a medicine (low, medium and high) on the blood pressure for three different groups 30 each? (0.25 Points)

4. A consumer good firm introduced a new cosmetic and tested on 10 people. Their skin tones were measured before and after the experiment to see if there is any significant improvement. (0.25 Points)

Answer 1

Que.1 Now you would like to know if there is a significant difference in the life satisfaction of these adults groups.

We use independent sample t test. Because samples are independent.

Que.2 Compare if two distributions are the same.

For this we use chi-square goodness of fit test.

Que.3 Compare the effect of dosage of a medicine (low, medium and high) on the blood pressure for three different groups 30 each?

We use One way ANOVA. Because we have to compare more than 2 means

Que.4 A consumer good firm introduced a new cosmetic and tested on 10 people. Their skin tones were measured before and after the experiment to see if there is any significant improvement.

We use paired t test, because we perform experiment on same patients. Hence samples are dependent.