Question

1) Choose six different tests and write six different questions

one-sample t, paired samples t, independent t, one-way ANOVA, Factorial ANOVA, repeated measures ANOVA, regression, correlation, or chi-square.

2) For each question, choose a different test, and write up a research scenario in which you describe the research question and some details of the study or experiment. The question that the reader has to answer is ‘which test is appropriate?’.

Example (using Z-tests):

A personality psychologist has decided to investigate claims that the younger generation of college students (born between 1995 and 2000) are different from previous generations on the dimension of narcissism. She surveyed 150 college students born between 1995 and 2000 and compared their average level of narcissism (M = 4.3, SD = .3) to that of the previous generation (? = 4.2, ? = .1). What statistical test would be appropriate to conduct in this situation?

A. paired samples t

B. z-test

C. one-way ANOVA

D. Correlation

3) across the questions, please use at least one example from developmental, cognitive, social, or clinical psychology (you can have some repeat areas)

Answer 1

1. Single t-test:

your company wants to improve sales. Past sales data indicate that the average sale was $100 per transaction. After training your sales force, recent sales data (taken from a sample of 25 salesmen) indicates an average sale of $130, with a standard deviation of $15. Did the training work? Test your hypothesis at a 5% alpha level.

2. paired sample t test:

You are conducting a study to see if students do better when they study all at once or in intervals. One group of 20 participants took a test after studying for one hour continuously. The other group of 20 participants took a test after studying for three twenty-minute sessions. The first group had a mean score of 75 and a variance of 120. The second group had a mean score of 86 and a variance of 100. which statistical test would you use to calculate significance between the two groups.

3. For independent t test:

A pharmacology company is interested in determining if a new medication leads to fewer side effects than the older preparation by the brand. To conduct the study, 20 patients are randomly assigned to receive the new medication while 15 patients are assigned to receive the best-selling older brand. The number of side effects is reported below:

New medication: 11 7 10 8 10 7 10 8 7 6 9 9 12 8 10 9 7 12

Older brand: 15 8 7 10 9 10 13 12 12 6 12 12 15 13 9 10 11

Which statistics would be best Suited to find a significant difference ?

4.one way ANOVA:

To examine the effects of pets and friends in stressful situations, researchers asked 45 people to participate in an experiment. Fifteen of the subjects were randomly assigned to each of three groups to perform a stressful task alone (control group), with a good friend present, or with their dog present. Each subject’s mean heart rate during the task was recorded as the dependent variable. Which Test would be appropriate to test the hypotheses at the ? = 0.05 level to decide if the mean heart rate differs between the groups.

5. Correlation :

A researcher is interested in finding out the relationship between shoe size and mathmatics skills in college students with people with larger feet are being hypothesised as having higher math skills. Which statistical tool would be appropriate in this situation?

6.Chi-square:

A HR department of a business company had been working to improve employee relations in the company. The HR manager hypothesised that the company was able to increase employee satisfaction from 60% to 80%. Employees from three departments -finance, marketing, technology were asked if they were satisfied with the working conditions of the company. Which statistical device would help to assess the difference between the three departments?