Question

A school psychologist believes that a popular new hypnosis technique increases depression. The psychologist collects a sample of 23 students and gives them the hypnosis once a week for two months. Afterwards the students fill out a depression inventory in which their average score was 56.05. Normal individuals in the population have a depression inventory average of 49 with a standard deviation of 11. What can the psychologist conclude with an α of 0.01?

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Population:
---Select--- new hypnosis technique normal individuals students receiving hypnosis depression two months
Sample:
---Select--- new hypnosis technique normal individuals students receiving hypnosis depression two months

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

The depression of students that underwent hypnosis is significantly higher than the population.The depression of students that underwent hypnosis is significantly lower than the population.    The depression of students that underwent hypnosis is not significantly different than the population.

Answer 1

Aus (a). The appropriate test statistic pion &tendard devicelion 2 - test population stein dasd a since the is known. (bl. New hypnosis technique normal inclirichal Student receiving hypohosis de pression tooo months is sample. - (c). We are testing; to ; M = ug ta ; 7 49 Tu mu04 ролла х 4е и оf neo wчрибд14 technique does not the increase depression.... The alternative hypothesis state that new hybnox) technique increase depression. The test stulistic uncler null hypothes's, 2= x - l = 56.05-49 sin 1/593 3.07 37 The critical value at level of significance (620-01) iba = 2.33 00 We reject to, since test statistic ralue live in rejection region. - Therefore, we conclude that new hypnosis nou techniques increase depression sure.. -d). Computing confidence interval is not it is me failed approprialt here, since hypothesis. (NA NA). 2-33