Question

# Homework 2 Show Your Work! 1. The following 10 numbers were drawn from a population. Is...

Homework 2

1. The following 10 numbers were drawn from a population. Is it likely that these numbers came from a population with a mean of 13? Evaluate with a two-tailed test at alpha of .05.
5, 7, 7, 10, 10, 10, 11, 12, 12, 13

a. State in words what your H1 and H0 would be.

b. What kind of test would you use (i.e. Related-Samples t-test, z-test, etc.)?

d. Calculate t.

e. Based on the above information, would you reject H0, or fail to reject it? Why? How would you state your conclusion in words?

f. Compute the 95% confidence limits on μ.

2. People with agoraphobia are so filled with anxiety about being in public places that they seldom leave their homes. Knowing this is a difficult disorder to treat, a researcher tries a long-term treatment. A sample of individuals report how often they have ventured out of the house in the past month. Then they receive relaxation training and are introduced to trips away from the house at gradually increasing durations. After 2 months of treatment, participants report the number of trips out of the house they made in the last 30 days. The data are as follows:

_______________________________________
Participant         Before          After
_______________________________________
A 0 4
B 0 0
C 3 14
D 3 23
E 2 9
F 0 8
G 0 6
_______________________________________

a) What type of t-test should we use?

b) Is a one-tailed or two-tailed test more appropriate?

c) State symbolically the null and alternative hypotheses.

d) Determine the degrees of freedom and the critical t value.

e) Calculate t

f) Based on the above information, would you reject H0, or fail to reject it? Why? How would you state your conclusion in words?

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