Compute the test value. Always round z score values to at least two decimal places.
Ages of College Students The dean of students wants to see whether there is a significant difference in ages of resident students and commuting students. She selects a sample of 30 students from each group. The ages are shown here. At =α0.01 , decide if there is enough evidence to reject the claim of no difference in the ages of the two groups. Use the standard deviations from the samples and the P -value method; use μ1
for the average age of resident students. Assume σ1=4.1 and
| Resident students | |||||
|
24
|
27
|
26
|
18
|
19
|
18
|
|
30
|
26
|
18
|
18
|
19
|
32
|
|
23
|
19
|
19
|
18
|
29
|
19
|
|
22
|
18
|
22
|
26
|
19
|
19
|
|
21
|
23
|
18
|
20
|
18
|
22
|
| Commuter students | |||||
|
22
|
28
|
25
|
20
|
24
|
26
|
|
30
|
22
|
22
|
22
|
21
|
18
|
|
20
|
19
|
26
|
35
|
19
|
19
|
|
18
|
19
|
32
|
29
|
23
|
21
|
|
19
|
36
|
27
|
27
|
20
|
20
|
(a) State the hypotheses and identify the claim.
|
H0: claim/ do not claim ▼(Choose one)
H1: claim/do not claim ▼(Choose one)
This hypothesis test is/ is not a ▼(Choose one) test. |
(b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas.
Critical value(s):
(c) Compute the test value. Always round z score values to at least two decimal places.
Z=
(d) Make the decision.
Reject/ do not reject the null hypothesis.
(e) Summarize the results.
There is/ is not enough evidence to support the claim that the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities are different.
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