#1 needs to have these four steps:

1. State the hypothesis
2. Determine the formula and critical value
3. Work the problem - please show all details of the formulas.
4. Analyze the results. Should be written as if trying to convince a group of other professionals of the results.

Problem 1: A psychologist wants to test if first born children develop better verbal skills than children in general. It is known that children have an average score of 70 at age 2 on a verbal skills test with a standard deviation of 15. How many first born children does the psychologist need to test on verbal skills at age 3 to test her hypothesis if she wants alpha = .01 and beta =.10 when H ₁ = 75?

Problem 2 needs these 4 steps:

1. State the hypothesis
2. Determine the formula and critical value
3. Use SPSS and determine output from computer
4. Analyze the results. Should be written as if trying to convince a group of other professionals of the results.

Problem #2:

A psychologist wants to compare the happiness of single people with pets to the happiness of singles without pets. A group of single pet owners is compared to single non-pet owners using a mood survey. The pet owners are matched one to one with the non-pet owners on other variables known to be related to the mood scores such as income and health. Is there a significant difference at the .01 level in the mood scores for the non-pet owners versus the pet owners? A high score indicates more happiness.

Pair Pet Owner Non-Pet owner

1 70 60

2 94 88

3 70 74

4 60 55

5 82 75

6 88 81

7 64 69

8 92 86

9 91 83

10 78 71

11 83 83

12 85 82

Problem #3

For the data of problem 2, construct the 90% confidence interval for the difference between the population means for the single pet owners and not-pet owners. Write the interval and interpret it.

Problem 4 needs these 4 steps:

1. State the hypothesis
2. Determine the formula and critical value
3. Use SPSS and determine output from the computer. Construct an ANOVA summary table, and plot the treatment means using SPSS.
4. Analyze the results. Should be written as if trying to convince a group of other professionals of the results.

Problem # 4

Using the following hypothetical data, determine whether there is a statistically significant difference at the .05 level between seasons in the use of sick leave by personnel of a hospital. Sick leave was tabulated over a 10 year period. Assume all scores are independent of each other. Show all four steps of our hypothesis testing procedure and display your results in a complete ANOVA summary table. Also have SPSS plot the treatment means.

Winter Spring Summer Fall

4.7 6.2 1.8 2.9

3.8 5.1 3.0 3.5

6.4 7.6 4.2 4.0

2.9 6.5 2.8 5.3

4.2 4.9 3.1 3.8

3.6 5.5 4.1 4.0

4.2 5.4 3.2 3.1

4.4 4.9 2.7 3.2

3.8 4.8 3.0 3.5

Problem # 5:

Using the data of problem # 4, conduct post hoc paired comparisons of the population at alpha = .05 using Tukey’s HSD test and interpret your results.

Problem # 6

Continue to use the 4 steps as above:

An industrial/organizational psychologist develops a test to predict job performance. He gives the test to 20 applicants and then hires all 20. One year later he obtains the performance ratings of the 20 employees. The application test scores and job performance ratings are given below. In SPSS choose analyze-regression-linear and use regression method.

1. What is the correlation between the test and job performance?
2. What is the best linear regression equation for predicting job performance from the test?
3. Plot the scatter diagram and draw the linear regression line (Use graphs-Legacy- scatter/dot. Draw regression line on this graph by hand.
4. If a future job applicant scores 60 on the test, what job performance score would be predicted for this person using the linear regression equation?
5. If a job performance score of 70 is considered successful performance, should the applicant who scored 60 be hire?
6. What cutoff score on the test should be used for hiring applicants?

Individual test job performance

1 80 90

2 60 70

3 70 70

4 50 62

5 90 90

6 85 80

7 70 85

8 80 95

9 70 85

10 75 70

11 65 75

12 45 55

13 53 66

14 73 85

15 81 89

16 92 89

17 78 85

18 86 97

19 83 94

20 44 58

Problem 7:

Fill in the missing information in the ANOVA summary table below for an independent samples one-way analysis of the variance.

ANOVA Summary Table

Source SS df MS F

Bet.Groups 16 ___ 8 ___

Within Groups 60 ___ ___

Total 76 17

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Solution: The downloadable solution consists of 13 pages, 1176 words and 9 charts.
Deliverable: Word Document