Question

In: Statistics and Probability

Please answer all parts. Part A. Which type of t-test is the procedure used to test...

Please answer all parts.

Part A. Which type of t-test is the procedure used to test sample means from two independent samples? (multiple choice)

a. Paired-samples t-test

b. Homogeneity of variance

c. Related-samples t-test

d. Independent-samples t-test

Part B. Fill in blank

_________ is an assumption of the independent-samples t-test that requires the populations represented by the 2 samples to have equivalent variances.

Part C. If you wanted to determine how college students’ intelligence compared to the general population, and you know that the population mean is µ = 100 with a standard deviation of s=15, which hypothesis test would be most appropriate?

Part D.

Professor Sprout recruits 10 people to participate in their study and measures participants before they take an antidepressant medication and then after they have taken the medicine, what is the value that represents the degrees of freedom in this repeated-measures t-test analysis?

a. df=4

b. df=9

c. df=10

d. df=8

Expert Solution

Part A)

Independent-samples t-test is the procedure used to test sample means from two independent samples..hence d is the ans...

Justification--here we compare the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different. Hence the ans.

Part B)

Homogeneity of variance is an assumption of the independent-samples t-test that requires the populations represented by the 2 samples to have equivalent variances.

Part C)

Student's t test would be most appropriate here...as here we are testing for single sample of population mean....and as population standard deviation is not given...so we will use students t test instead of z test...

Part D)

This is paired t test...so under Ho test statistic follows t(n-1) dist...so degrees of freedom is n-1= 10-1=9

Hence df=9(b)----ans

Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

orchestra answered 1 year ago

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