The testable hypotheses in this situation are Ho :µ = 14 vs. Ha : µ > 14 1. Identify the consequences of making a Type l error. OA. The company does not charge the customer the premium rate when they should. OB. The company charges the customer the premium rate when they should not. OC. The company charges the customer the premium rate when they should. OD. The company does not charge the customer the premium rate when they should not. 2. Identify the consequences of making a Type Il error. OA. The company charges the customer the premium rate when they should not. OB. The company does not charge the customer the premium rate when they should. OC. The company does not charge the customer the premium rate when they should not. OD. The company charges the customer the premium rate when they should. To monitor the billing rate, the manager is going to take a random sample of 20 surveys each shift and calculate the average survey time in the sample. They make a decision rule that if x > 14.5, they will charge the premium rate for that shift's work. Assume the population standard deviation is 6 minutes. 3. What is the probability that the company will make a Type I error using this decision rule? Round your answer to four decimal places. 0.1841 4. Using this decision rule, what is the power of the test if the actual mean time to complete the survey is 15.25 minutes? That is, what is the probability they will reject Ho when the actual average time is 15.25 minutes? Round your answer to four decimal places. 0.3446

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

Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed within an average time of 14 minutes or less. If more time is required, a premium rate is charged. I need help with 3 and 4. 

The testable hypotheses in this situation are H, : µ = 14 vs. H. : µ > 14
1. Identify the consequences of making a Type I error.
A. The company does not charge the customer the premium rate when they should.
B. The company charges the customer the premium rate when they should not.
C. The company charges the customer the premium rate when they should.
D. The company does not charge the customer the premium rate when they should not.
2. Identify the consequences of making a Type Il error.
A. The company charges the customer the premium rate when they should not.
B. The company does not charge the customer the premium rate when they should.
C. The company does not charge the customer the premium rate when they should not.
D. The company charges the customer the premium rate when they should.
To monitor the billing rate, the manager is going to take a random sample of 20 surveys each shift and calculate the average survey time in the sample.
They make a decision rule that if x > 14.5, they will charge the premium rate for that shift's work. Assume the population standard deviation is 6
minutes.
3. What is the probability that the company will make a Type I error using this decision rule? Round your answer to four decimal places. 0.1841
4. Using this decision rule, what is the power of the test if the actual mean time to complete the survey is 15.25 minutes? That is, what is the probability
they will reject Ho when the actual average time is 15.25 minutes? Round your answer to four decimal places. 0.3446
Transcribed Image Text:The testable hypotheses in this situation are H, : µ = 14 vs. H. : µ > 14 1. Identify the consequences of making a Type I error. A. The company does not charge the customer the premium rate when they should. B. The company charges the customer the premium rate when they should not. C. The company charges the customer the premium rate when they should. D. The company does not charge the customer the premium rate when they should not. 2. Identify the consequences of making a Type Il error. A. The company charges the customer the premium rate when they should not. B. The company does not charge the customer the premium rate when they should. C. The company does not charge the customer the premium rate when they should not. D. The company charges the customer the premium rate when they should. To monitor the billing rate, the manager is going to take a random sample of 20 surveys each shift and calculate the average survey time in the sample. They make a decision rule that if x > 14.5, they will charge the premium rate for that shift's work. Assume the population standard deviation is 6 minutes. 3. What is the probability that the company will make a Type I error using this decision rule? Round your answer to four decimal places. 0.1841 4. Using this decision rule, what is the power of the test if the actual mean time to complete the survey is 15.25 minutes? That is, what is the probability they will reject Ho when the actual average time is 15.25 minutes? Round your answer to four decimal places. 0.3446
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
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