Compute the test value. Always round z score values to at least two decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

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): 

 

(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.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman