Question

A counselor hypothesizes that a popular new cognitive therapy reduces anxiety. The counselor collects a sample of 14 students and gives them the cognitive therapy once a week for two months. Afterwards the students fill out an anxiety inventory in which their average score was 54.9. Normal individuals in the population have an anxiety inventory average of 50 with a variance of 6.76. What can be concluded with α = 0.05?
a) What is the appropriate test statistic?
---Select one--- (na, z-test, one-sample t-test, independent-samples t-test, or related-samples t-test)
b)
Population:
---Select one--- (two months, students receiving hypnosis, normal individuals, or new hypnosis technique)
Sample:
---Select one-- (two months, students receiving hypnosis, normal individuals, or new hypnosis technique)
c) Obtain/compute the appropriate values 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 one--- (Reject H0 or 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 one--- (na, trivial effect, small effect, medium effect, or large effect)
r² =  ;   ---Select one--- (na, trivial effect, small effect, medium effect, or large effect)
f) Make an interpretation based on the results.

a. The population has significantly lower anxiety than students that underwent cognitive therapy.

b. The population has significantly higher anxiety than students that underwent cognitive therapy.

c. The new cognitive therapy technique does not significantly effect anxiety.

Answer 1

Due to insufficient time i will not (e) bit .

Please send the separate bit , i will answer it .

Thank you !