Research Scenario:You have a group of 25 people who have high cholesterol and do not do...

Research Scenario:You have a group of 25 people who have high cholesterol and do not do any form of exercise. You want to know if a person’s cholesterol statistically significantly decreases after running for 30 minutes four times per week. You implement a 3-month treatment that consists of running for 30 minutes four times per week. You measure 25 individuals’ cholesterol levels before and after the treatment.

Study the descriptive statistics and summary output tables below and answer the questions that follow.

Descriptive Statistics

Variable

mean

Time

Cholesterol Before Treatment

Cholesterol After Treatment

275.24

262.00

20.19

21.89

t-test

Variable	Mean Difference	SD	SE of Mean	t	Sig.
Cholesterol after treatment – cholesterol before treatment	-13.24	11.25	2.25	-5.88	.000

Write your conclusion (step 4) and interpretation of the results (step 5) in full sentences. See lecture notes for examples

The confidence interval is not included in the summary output table. Without developing it, would it contain a zero or not? Explain.

Solutions

Expert Solution

Here we have a performed a paired t test for difference of means since we are dealing with dependent data.

Assuming 5% level of significance

Decision about the null hypothesis

Since it is observed that absolute value of t=-5.58 i.e 5.58>tc=1.711, it is then concluded that the null hypothesis is rejected.

Using the P-value approach: The p-value is p = 0.0000 and since p=0.0000<0.05, it is concluded that the null hypothesis is rejected at 5% level of significance. It is even rejected at 1% level of significance.

Conclusion

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that population mean μ1 is greater than μ2, at the 0.05 significance level. Hence we conclude that a person’s cholesterol statistically significantly decreases after running for 30 minutes four times per week.

It would not contain 0 since we have rejected the null hypothesis and concluded that the population means are different. so the difference would not contain 0.

Please let me know in comments if anything is unclear. Will reply ASAP. Please upvote if satisfied!

orchestra answered 1 year ago

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