Question

In: Statistics and Probability

Show all work and answer steps in complete sentences please list them ex. Step 1 underline...

Show all work and answer steps in complete sentences please list them ex. Step 1 underline steps

Use a two-tailed test and α = .05.
Round up to two decimal places.

Dependent t-test
We want to test exercise on stress. A sample of participants reported their stress levels before and after exercising?Conduct four steps of hypothesis testing.


Before      After                   D
25              10                     15
25              17                      8
21              15                      6
25              14                     11

SSD = 46

Step 1 State your NULL and RESEARCH hypotheses completely
Step 2 What is the df?
Step 3 What are the cut-off points?
Step 4 What is the standard deviation of the D scores?
Step 5 What is the estimated standard error?
Step 6 What is the t-value?
Step 7 State your conclusion thoroughly.

Use a two-tailed test and α = .05.
Round up to two decimal places.

Independent t-teest
We want to compare the q scores between morning students and afternoon students. Is there a significant difference between two groups on the q scores? Conduct four steps of hypothesis testing.

AM       PM
8            7
7          1
9          1
6          8
3            8
9           11

SS for AM= 26
SS for PM = 84
Step 1 State your NULL and RESEARCH hypotheses completely.
Step 2 What is the df?
Step 3 What are the cut-off points?
Step 4 What is the pooled variance?

Step 5 What is the estimated standard error?
Step 6 What is the t-value?
Step 7 State your conclusion thoroughly.

Solutions

Expert Solution

We calculate the standard deviation, estimated standard error and the test statistic using the formula mentioned. The cut off points(critical values) are obtained from STATKEY(image attached for reference). Then we compare the test statistic and the critical value and make the required conclusion.


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