Solution Found!
Solved: For the following exercises where applicable:a.
Chapter 8, Problem 15CQ(choose chapter or problem)
Problem 15CQ
For the following exercises where applicable:
a. State the hypotheses and identity the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
Ages of Professional Women A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have their first child is 28.6 years. A random sample of 36 women is selected, and their ages at the birth of their first child are recorded. At α = 0.05, docs the evidence refute the sociologist’s assertion? Assume σ = 4.18.
32 |
28 |
26 |
33 |
35 |
34 |
29 |
24 |
22 |
25 |
26 |
28 |
28 |
34 |
33 |
32 |
30 |
29 |
30 |
27 |
33 |
34 |
28 |
25 |
24 |
33 |
25 |
37 |
35 |
33 |
34 |
36 |
38 |
27 |
29 |
26 |
Questions & Answers
QUESTION:
Problem 15CQ
For the following exercises where applicable:
a. State the hypotheses and identity the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
Ages of Professional Women A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have their first child is 28.6 years. A random sample of 36 women is selected, and their ages at the birth of their first child are recorded. At α = 0.05, docs the evidence refute the sociologist’s assertion? Assume σ = 4.18.
32 |
28 |
26 |
33 |
35 |
34 |
29 |
24 |
22 |
25 |
26 |
28 |
28 |
34 |
33 |
32 |
30 |
29 |
30 |
27 |
33 |
34 |
28 |
25 |
24 |
33 |
25 |
37 |
35 |
33 |
34 |
36 |
38 |
27 |
29 |
26 |
ANSWER:
Solution
Step 1 of 2
We have to test whether the claim is true or not
Here the claim is that the average age of their first child is 28.6 years
Here a random sample of 36 women then
Given
And
From the given data find
=(32+28+................+29+26)/36
=30.06