The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Erik wants to know if the average sales generated by McDonald's restaurants in Idaho is different than the worldwide average. He surveys 27 restaurants in Idaho and finds the following data (in millions of dollars): 4, 2.3, 4.9, 1.5, 3, 3.6, 4.1, 4.2, 4.4, 4, 4.5, 3.5, 4.1, 4.5, 3.4, 3.4, 4.1, 3.8, 3, 2.9, 3.1, 4.3, 3.7, 3.1, 2.9, 4.5, 5.1 Perform a hypothesis test using a 1% level of significance.

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
The average McDonald's restaurant generates $3.6 million in sales each year with a standard
deviation of 0.9. Erik wants to know if the average sales generated by McDonald's restaurants in
Idaho is different than the worldwide average. He surveys 27 restaurants in Idaho and finds the
following data (in millions of dollars):
4, 2.3, 4.9, 1.5, 3, 3.6, 4.1, 4.2, 4.4, 4, 4.5, 3.5, 4.1, 4.5, 3.4, 3.4, 4.1, 3.8, 3, 2.9, 3.1, 4.3, 3.7, 3.1, 2.9, 4.5,
5.1
Perform a hypothesis test using a 1% level of significance.
Step 1: State the null and alternative hypotheses.
Ho: ?v? v
H.: ?v
(So we will be performing v Select an answe est.)
left-tailed
right-tailed
determine the features of the distribution of
Step 2: Assuming the nul
point estimates using th
two-tailed
brem.
By the Central Limit Theorem, we know that the point estimates are normally distributed v with
distribution mean
and distribution standard deviation
Step 3: Find the p-value of the point estimate.
Transcribed Image Text:The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Erik wants to know if the average sales generated by McDonald's restaurants in Idaho is different than the worldwide average. He surveys 27 restaurants in Idaho and finds the following data (in millions of dollars): 4, 2.3, 4.9, 1.5, 3, 3.6, 4.1, 4.2, 4.4, 4, 4.5, 3.5, 4.1, 4.5, 3.4, 3.4, 4.1, 3.8, 3, 2.9, 3.1, 4.3, 3.7, 3.1, 2.9, 4.5, 5.1 Perform a hypothesis test using a 1% level of significance. Step 1: State the null and alternative hypotheses. Ho: ?v? v H.: ?v (So we will be performing v Select an answe est.) left-tailed right-tailed determine the features of the distribution of Step 2: Assuming the nul point estimates using th two-tailed brem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate.
Step 1: State the null and alternative hypotheses.
Ho: ? ?v
H: ? v
(So we will be performing a Select an answer
|test.)
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
point estimates using the Central Limit Theorem.
Select an answer
By the Central Limit Theorem, we know that the point estimates ar v normally distributd
ith
t-distributed
distribution mean
and distribution standard deviation
Step 3: Find the p-value of the point estimate.
P? v? v
= P( ?♥ | ? v
p-value =
Step 4: Make a Conclusion About the null hypothesis.
= a, we Select an answer v the null hypothesis.
Since the p-value =
O We cannot conclude that the mean sales of McDonald's restaurants in Idaho differ from
average McDonald's sales worldwide.
O We conclude that the mean sales of McDonald's restaurants in ldaho differ from average
McDonald's sales worldwide.
Transcribed Image Text:Step 1: State the null and alternative hypotheses. Ho: ? ?v H: ? v (So we will be performing a Select an answer |test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. Select an answer By the Central Limit Theorem, we know that the point estimates ar v normally distributd ith t-distributed distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P? v? v = P( ?♥ | ? v p-value = Step 4: Make a Conclusion About the null hypothesis. = a, we Select an answer v the null hypothesis. Since the p-value = O We cannot conclude that the mean sales of McDonald's restaurants in Idaho differ from average McDonald's sales worldwide. O We conclude that the mean sales of McDonald's restaurants in ldaho differ from average McDonald's sales worldwide.
Expert Solution
steps

Step by step

Solved in 4 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