John wants to test the hypothesis that overweight individuals tend to eat faster than normal weight individuals

John wants to test the hypothesis that overweight individuals tend to eat faster than normal weight individuals do. To test this hypothesis, he has two assistants sit in a McDonald’s restaurant and identify individuals who order the Big Mac special. The Big Mackers, as the assistants affectionately classify them, are classified as overweight, normal weight, or neither overweight nor normal weight. The assistants identified 10 overweight and 30 normal weight Big Mackers. The assistants recorded the amount of time it takes the individuals to complete their Big Mac special meals. This information was entered into a spreadsheet to be entered into SPSS and contains two variables, a grouping variable with two levels, overweight (1) and normal weight (2) and time to eat the meal (in seconds). ¹

Individual	Grouping Variable	Time to Eat (seconds)	Individual	Grouping Variable	Time to Eat (seconds)
1	1	585	21	2	695
2	1	540	22	2	729
3	1	660	23	2	700
4	1	571	24	2	730
5	1	584	25	2	708
6	1	653	26	2	672
7	1	574	27	2	764
8	1	569	28	2	703
9	1	619	29	2	702
10	1	535	30	2	722
11	2	697	31	2	602
12	2	782	32	2	478
13	2	587	33	2	761
14	2	675	34	2	810
15	2	635	35	2	783
16	2	672	36	2	730
17	2	606	37	2	620
18	2	789	38	2	661
19	2	806	39	2	889
20	2	600	40	2	644

Write the null and alternative hypotheses
H _o :
H ₁ :
Identify the statistical test required to conduct the analyses for this question (if not applicable, enter NA)
State the assumptions for the test you selected
Enter these data into SPSS and perform the appropriate t test to investigate the hypothesis that overweight individuals eat faster than normal weight individuals. Once you have conducted the analysis using SPSS, identify the following output and complete the additional questions:

Report the t values and the p values assuming equal population variances and not assuming equal population variances

t (equal variances)			p (equal variances)
t (not equal variances)			p (not equal variances)

From the output, identify the following:

Mean eating time for overweight individuals
Standard deviation for normal weight individuals

Create a boxplot to show the differences between the two groups
Write an APA-style results section based on your analysis of these data

2. You are interested in learning whether husbands and wives who are having infertility problems feel equally anxious. You obtain the cooperation of 24 infertile couples. You then administer the Infertility Anxiety Measure (IAM) to both husbands and wives. The data below comes from 24 cases, one for each husband—wife pair and two variables, the IAM scores for the husbands and the IAM score for the wives. ²

Participants	Husbands IAM Score	Wives IAM Score
1	48	51
2	77	86
3	57	63
4	61	58
5	61	69
6	57	62
7	62	85
8	55	46
9	57	61
10	52	56
11	47	42
12	55	68
13	55	57
14	52	43
15	59	72
16	67	85
17	59	68
18	55	55
19	54	63
20	64	66
21	41	47
22	65	76
23	62	63
24	58	60

Write the null and alternative hypotheses
H _o :
H ₁ :
Identify the statistical test required to conduct the analyses for this question

State the assumptions for the test you selected (if not applicable, enter NA)

Enter these data into SPSS and perform the appropriate t test to investigate the anxiety scores for husbands and wives. Once you have conducted the analysis using SPSS, identify the following output and enter the values in the spaces provided below:

	Mean IAM scores for husbands
	Mean IAM scores for wives
	t test value
	p value

Create a boxplot to show the differences between husbands’ and wives’ IAM scores
Write an APA-style results section based on your analysis of these data (be specific)

3. Alfred is interested in learning if blondes really do have more fun. He randomly samples 18 young men from his local university campus: six blondes, six brunettes, and six redheads. He then administers a measure of social extroversion to each individual. High scores on the scale mean more fun. ³

Individual	Hair Color (1 = blonde, 2 = brunette, 3 = redhead)	Social Extroversion
1	1	5
2	1	10
3	1	6
4	1	2
5	1	5
6	1	3
7	2	3
8	2	5
9	2	2
10	2	4
11	2	3
12	2	5
13	3	2
14	3	1
15	3	4
16	3	2
17	3	2
18	3	3

Write the null and alternative hypotheses
H _o :
H ₁ :
Identify the statistical test required to conduct the analyses for this question
State the assumptions for the test you selected (if not applicable, enter NA)
Enter these data into SPSS and perform the appropriate ANOVA to see if blondes have more fun than brunettes or redheads. Make sure that you conduct the appropriate post hoc tests.

From the output, identify the following:

	F ratio for the group effect	3.511
	Sum of squares for the hair color effect	24.111
	Mean for redheads	2.3333
	Standard deviation for brunettes	1.0328
	p value for the hair color effect	0.056

Create a boxplot to show the differences among the distributions for the three hair color groups
Write an APA-style results section based on your analysis of these data

4. A sleep researcher conducts an experiment to determine whether a hypnotic drug called Sleepon, which is advertised as a remedy for insomnia, actually promotes sleep. In addition, the researcher is interested in whether a tolerance to the drug develops with chronic use. One of the variables is the concentration of Sleepon. There are two levels: (1) zero concentration (placebo) and (2) the manufacture’s minimum recommended dosage. The other variable concerns the previous use of Sleepon. Again, there are two levels: (1) subjects with no previous use and (2) chronic users. Sixteen individuals with sleep-onset insomnia (difficulty in falling asleep) who have had no previous use of Sleepon are randomly assigned to the two concentration conditions such that there are eight participants in each condition. Sixteen chronic users of Sleepon are also randomly assigned to the two conditions, eight participants per condition. All participants take their prescribed "medication" for 3 consecutive nights, and the time to fall asleep is recorded. The scores shown in the following table are the mean times to fall asleep for each participant, averaged over the 3 days ⁴ :

		Concentration of Sleepon (B)
Previous Use (A)		Placebo		Minimum recommended dosage
	No previous use	45	53	30	47
		48	58	33	35
		62	55	40	31
		70	64	50	39
	Chronic users	47	68	52	46
		52	64	60	49
		55	58	58	50
		62	59	68	55

Write the null and alternative hypotheses
H _o :
H _a :
Identify the statistical test required to conduct the analyses for this question
State the assumptions for the test you selected (if not applicable, enter NA)
Enter these data into SPSS and perform an ANOVA to see if previous usage and concentration of Sleepon on the mean times to fall asleep`.

On the output, identify the following items and enter the information in the space below:

1.	F value for the "use" main effect
2.	Mean dependent variable score for the cell associated with the "chronic user" and the minimum recommended dosage
3.	Effect size for the interaction effect (partial eta squared)
4.	p value for the "interaction main effect

Create a boxplot to visually represent the interaction between previous use and concentration of Sleepon on the mean time to falling asleep (click on graphs, legacy, boxplot, clustered, summaries for groups of cases, define. Highlight the "mean time to sleep" variable in the left-hand window and move it to the "variable" window on the right side; then highlight "concentration of Sleepon" variable and move it to the "category axis" window. Highlight the "previous use" variable and move it to the "define clusters by" window. Click OK)
Write an APA results section based on your analysis of these data (be specific)

5. The information presented in the table, below, represents raw scores on SAT and GPA for 26 students attending a southwestern US university. The SAT scores represent data from the students’ tests when they were high school seniors. The GPA data represent the scores the student has received after their first year of college. Note that students with high SAT scores tend to have high GPAs and students with low SAT scores tend to have low GPAs.

Student	SAT	GPA	Student	SAT	GPA
1	670	3.9	14	475	2.6
2	620	3.6	15	490	3.1
3	485	2.9	16	620	3.8
4	440	2.6	17	340	2.4
5	610	3.7	18	425	2.8
6	220	1.4	19	485	2.7
7	640	2.2	20	530	3.2
8	775	3.5	21	690	3.3
9	510	3.0	22	420	2.4
10	480	3.0	23	490	2.8
11	370	2.8	24	500	1.9
12	320	2.7	25	520	3.0
13	425	2.6	26	575	3.5

Write the null and alternative hypotheses
H _o :
H ₁ :
Identify the statistical test required to conduct the analyses for this question
State the assumptions for the test you selected (if not applicable, enter NA)

Enter these data into SPSS and perform a regression analysis to investigate the relationship between SAT scores and GPA. Once you have conducted the analysis using SPSS, identify the following output and enter the values in the space provided:

1.	p value for the relationship between SAT and GPA
2.	the correlation coefficient ( r ) for the relationship between SAT and GPA

Write the regression equation and predict the GPA for a student who has a 450 on his SATs

1.	Regression equation
2.	Predicted GPA

Create a scatterplot and fit a regression line to the data to show the relationship between SAT and GPA
Write an APA results section based on your analysis of these data (be specific)

6. Janice collected data on a sample of 130 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father of by both their mother and their father. The data in the table (next page) represent two variables: math (0 = no advanced math and 1 = some advanced math) and parent (1 = primarily father and 2 = primarily father and mother). ⁵

Write the null and alternative hypotheses
H _o :
H ₁ :
Identify the statistical test required to conduct the analyses for this question (if not applicable, enter NA)
State the assumptions and restrictions for the test of independence
Enter these data into SPSS and conduct a test of independence to examine whether the proportion of female high school students who took advanced math courses is different for different levels of the parent variable

From the output, identify the following:

	Percent of female students who took some advanced math classes
	Percent of female students who took no advanced math classes when raised by their fathers
	Percent of females raised by their father only
	² value
	Strength of the relationship (phi )between taking advanced math classes and level of parenting

Create a clustered bar graph to show the differences in the number of female students taking some advanced math classes for the different categories of parenting
Write an APA results section based on your analysis of these data (be specific)

Student	Parent	Math	Student	Parent	Math	Student	Parent	Math
1	1	0	46	2	0	91	2	0
2	1	0	47	2	0	92	2	0
3	1	0	48	2	0	93	2	0
4	1	0	49	2	0	94	2	0
5	1	0	50	2	0	95	2	0
6	1	0	51	2	0	96	2	0
7	1	0	52	2	0	97	2	0
8	1	0	53	2	0	98	2	0
9	1	0	54	2	0	99	2	0
10	1	0	55	2	0	100	2	0
11	1	0	56	2	0	101	2	0
12	1	0	57	2	0	102	2	0
13	1	0	58	2	0	103	2	0
14	1	0	59	2	0	104	2	0
15	1	0	60	2	0	105	2	0
16	1	0	61	2	0	106	2	0
17	1	0	62	2	0	107	2	0
18	1	0	63	2	0	108	2	0
19	1	0	64	2	0	109	2	0
20	1	0	65	2	0	110	2	0
21	1	0	66	2	0	111	2	0
22	1	1	67	2	0	112	2	0
23	1	1	68	2	0	113	2	0
24	1	1	69	2	0	114	2	0
25	1	1	70	2	0	115	2	0
26	1	1	71	2	0	116	2	0
27	1	1	72	2	0	117	2	0
28	1	1	73	2	0	118	2	0
29	1	1	74	2	0	119	2	0
30	1	1	75	2	0	120	2	0
31	2	0	76	2	0	121	2	0
32	2	0	77	2	0	122	2	0
33	2	0	78	2	0	123	2	1
34	2	0	79	2	0	124	2	1
35	2	0	80	2	0	125	2	1
36	2	0	81	2	0	126	2	1
37	2	0	82	2	0	127	2	1
38	2	0	83	2	0	128	2	1
39	2	0	84	2	0	129	2	1
40	2	0	85	2	0	130	2	1
41	2	0	86	2	0
42	2	0	87	2	0
43	2	0	88	2	0
44	2	0	89	2	0
45	2	0	90	2	0