Homework Help is Here – Start Your Trial Now!
Math
Statistics
A hospital was concerned about reducing its wait time. A targeted wait time goal of 25 minutes was set. After implementing an improvement framework and​ process, a sample of 364 patients showed the mean wait time was 23.04 ​minutes, with a standard deviation of 16.14 minutes. Complete parts​ (a) and​ (b) below.       Question content area bottom Part 1 a. If you test the null hypothesis at the 0.10 level of​ significance, is there evidence that the population mean wait time is less than 25 ​minutes?   State the null and alternative hypotheses.     A. H0​: μ<25 H1​: μ>25   B. H0​: μ≥25 H1​: μ<25   C. H0​: μ<25 H1​: μ≥25   D. H0​: μ>25 H1​: μ<25   E. H0​: μ≠25 H1​: μ≥25   F. H0​: μ≥25 H1​: μ≠25 Part 2 Find the test statistic for this hypothesis test.   tSTAT=enter your response here ​(Type an integer or a decimal. Round to two decimal places as​ needed.) Part 3 Find the​ p-value.   The​ p-value is enter your response here. ​(Type an integer or a decimal. Round to three decimal places as​ needed.)

A hospital was concerned about reducing its wait time. A targeted wait time goal of 25 minutes was set. After implementing an improvement framework and​ process, a sample of 364 patients showed the mean wait time was 23.04 ​minutes, with a standard deviation of 16.14 minutes. Complete parts​ (a) and​ (b) below.       Question content area bottom Part 1 a. If you test the null hypothesis at the 0.10 level of​ significance, is there evidence that the population mean wait time is less than 25 ​minutes?   State the null and alternative hypotheses.     A. H0​: μ<25 H1​: μ>25   B. H0​: μ≥25 H1​: μ<25   C. H0​: μ<25 H1​: μ≥25   D. H0​: μ>25 H1​: μ<25   E. H0​: μ≠25 H1​: μ≥25   F. H0​: μ≥25 H1​: μ≠25 Part 2 Find the test statistic for this hypothesis test.   tSTAT=enter your response here ​(Type an integer or a decimal. Round to two decimal places as​ needed.) Part 3 Find the​ p-value.   The​ p-value is enter your response here. ​(Type an integer or a decimal. Round to three decimal places as​ needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
A hospital was concerned about reducing its wait time. A targeted wait time goal of
25
minutes was set. After implementing an improvement framework and​ process, a sample of
364
patients showed the mean wait time was
23.04
​minutes, with a standard deviation of
16.14
minutes. Complete parts​ (a) and​ (b) below.
 
 
 

Question content area bottom

Part 1
a. If you test the null hypothesis at the
0.10
level of​ significance, is there evidence that the population mean wait time is less than
25
​minutes?
 
State the null and alternative hypotheses.
 
 
A.
H0​:
μ<25
H1​:
μ>25
 
B.
H0​:
μ≥25
H1​:
μ<25
 
C.
H0​:
μ<25
H1​:
μ≥25
 
D.
H0​:
μ>25
H1​:
μ<25
 
E.
H0​:
μ≠25
H1​:
μ≥25
 
F.
H0​:
μ≥25
H1​:
μ≠25
Part 2
Find the test statistic for this hypothesis test.
 
tSTAT=enter your response here
​(Type an integer or a decimal. Round to two decimal places as​ needed.)
Part 3
Find the​ p-value.
 
The​ p-value is
enter your response here.
​(Type an integer or a decimal. Round to three decimal places as​ needed.)
Part 4
Is there sufficient evidence to reject the null​ hypothesis? (Use a
0.10
level of​ significance.)
 
 
A.
Reject
the null hypothesis. There is
sufficient
evidence at the
0.10
level of significance that the population mean wait time is greater than
25
minutes.
 
B.
Do not reject
the null hypothesis. There is
insufficient
evidence at the
0.10
level of significance that the population mean wait time is greater
C.
Reject
the null hypothesis. There is
sufficient
evidence at the
0.10
level of significance that the population mean wait time is less than
25
minutes.
 
D.
Do not reject
the null hypothesis. There is
insufficient
evidence at the
0.10
level of significance that the population mean wait time is less than
25
minutes.
Part 5
b. Interpret the meaning of the​ p-value in this problem.
 
Choose the correct answer below.
 
 
A.
The​ p-value is the probability that the actual mean wait time is
23.04
minutes or less.
 
B.
The​ p-value is the probability that the actual mean wait time is
25
minutes given the sample mean wait time is
23.04
minutes.
 
C.
The​ p-value is the probability that the actual mean wait time is more than
23.04
minutes.
 
D.
The​ p-value is the probability of getting a sample mean wait time of
23.04
minutes or less if the actual mean wait time is
25
minutes.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE 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
SEE MORE TEXTBOOKS