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6. If using SPSS, what is the exact likelihood of obtaining a t-test value at le

ID: 3201000 • Letter: 6

Question

6. If using SPSS, what is the exact likelihood of obtaining a t-test value at least as extreme or as close to the one that was actually observed, assuming that the null hypothesis is true?

7. Which group earned the most money post-treatment?

RESEARCH DESIGNS APPROPRIATE FOR THE INDEPENDENT SAMPLES t TEST Research designs that may utilize the independent samples t-test include the randomized experimental, quasi-experimental, and comparative designs (Gliner, Morgan, & Leech, 2009). The independent variable (the "grouping" variable for the t-test) may be active or attributional. An active independent variable refers to an intervention, treatment, or program. An attributional independent variable refers to a characteristic of the partici- pant, such as gender, diagnosis, or ethnicity. Regardless of the nature of the independent variable, the independent samples t-test only compares two groups at a time. Example 1: Researchers conduct a randomized experimental study where the partici- pants are randomized to either a novel weight loss intervention or a placebo. The number of pounds lost from baseline to post-treatment for both groups is measured. The research question is: "Is there a difference between the two groups in weight lost?" The active independent variable is the weight loss intervention, and the d is number of pounds lost over the treatment span. Null hypothesis: There is no difference between the intervention and the control groups in weight lost. Example 2: Researchers conduct a retrospective comparative descriptive study where a chart review of patients is done to identify patients who recently underwent a colonos- copy. The patients were divided into two groups: those who used statins continuously in the past year, and those who did not. The dependent variable is the number of polyps found during the colonoscopy, and the independent variable is statin use. Her research question is: "Is there a significant difference between the statin users and nonusers in number of colon polyps found?" Null hypothesis: There is no difference between the two groups in number of colon polyps found

Explanation / Answer

Answer:

6. If using SPSS, what is the exact likelihood of obtaining a t-test value at least as extreme or as close to the one that was actually observed, assuming that the null hypothesis is true?

SPSS output.

Group Statistics

Group

N

Mean

Std. Deviation

Std. Error Mean

Hours

Treatment

10

27.60

8.644

2.733

Control

10

14.90

4.999

1.581

Independent Samples Test

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

Hours

Equal variances assumed

3.267

.087

4.022

18

.001

12.700

3.158

6.066

19.334

Equal variances not assumed

4.022

14.415

.001

12.700

3.158

5.946

19.454

P value = 0.001

7. Which group earned the most money post-treatment?

Mean value of treatment is 27.60 is higher than control group mean 14.90.

Group Statistics

Group

N

Mean

Std. Deviation

Std. Error Mean

Hours

Treatment

10

27.60

8.644

2.733

Control

10

14.90

4.999

1.581

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