Question

A researcher wants to investigate the usefulness of hypnotism for reducing levels of anxiety in individuals experiencing stress. He identifies 30 people at random from a group of 100 who have "high stress" jobs. The 30 people are divided into two separate groups. One group of 15 receive the hypnotism. The other group of 15 acts as the control group - they receive no hypnotism. The subjects in each group are then given an anxiety inventory. The results are in the table below, where a higher score means more anxiety.

Hypnotism Group	No Hypnotism Group
7	7
2	7
7	9
6	10
8	11
6	8
3	6
2	12
6	9
8	11
7	7
5	9
5	11
8	10
7	8

Please answer all parts to the question

a. Calculate the degrees of freedom.

b. Calculate the difference between the means (M_Hypnotism - M_{No Hypnotism}).

c. Calculate Σχ for the Hypnotism Group.

d. Compute Σχ² for the Hypnotism Group.

e. Calculate Σχ for the No Hypnotism Group.

f. Calculate Σχ² for the No Hypnotism Group.

g. Calculate the Standard Error for this test. Round to two decimal places.

S(χ₁ – χ₂) = ?

f.Calculate the t observed value for this test. Round to two decimal places.

t = ?

g.What is the probability (p) of getting the difference between sample means if the null hypothesis were true? Use Oak Software (NOTE: make sure you input the correct df, select t to p, select the correct area for a left-tailed test, input the correct t value, then press Calculate.

p = ?

h. Based on the results of your analysis, what is your decision regarding the Null hypothesis?

I. Write you conclusion in terms of the effect of hypnotism on anxiety.

Answer 1