A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 23 families from a rural area and finds that they have an average income of $69033 with a standard deviation of $591. He then selects 24 families from a urban area and finds that they have an average income of $65076 with a standard deviation of $846. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: Ho:µ1 < 42 HA: µ1 > µ2(claim) Ho: µ1 2 µ2 HA: H1 < H2(claim) Ho: µ1 = µ2 HA:µ1 # µ2(claim) Since the level of significance is 0.01 the critical value is -2.42 The test statistic is: (round to 3 places) The p-value is: (round to 3 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
Question
A researcher is interested in seeing if the average
income of rural families is less than that of urban
families. To see if his claim is correct he randomly
selects 23 families from a rural area and finds that they
have an average income of $69033 with a standard
deviation of $591. He then selects 24 families from a
urban area and finds that they have an average income
of $65076 with a standard deviation of $846. Perform a
hypothesis test using a significance level of 0.01 to help
him decide.
Let the rural families be sample 1 and the urban families
be sample 2.
The correct hypotheses are:
Ho:µ1 < 42
HA: µ1 > µ2(claim)
Ho: µ1 2 µ2
HA: H1 < H2(claim)
Ho: µ1 = µ2
HA:µ1 # µ2(claim)
Since the level of significance is 0.01 the critical value is -2.42
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
Transcribed Image Text:A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 23 families from a rural area and finds that they have an average income of $69033 with a standard deviation of $591. He then selects 24 families from a urban area and finds that they have an average income of $65076 with a standard deviation of $846. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: Ho:µ1 < 42 HA: µ1 > µ2(claim) Ho: µ1 2 µ2 HA: H1 < H2(claim) Ho: µ1 = µ2 HA:µ1 # µ2(claim) Since the level of significance is 0.01 the critical value is -2.42 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
Expert Solution
Step 1

The descriptive statistics is given as follows

Statistics homework question answer, step 1, image 1

Significance level = 0.01

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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