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...

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

σ=25 (rounded to one decimal place).

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):

(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.

Jun 03, 2022

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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...

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