Managers at an automobile manufacturing plant would like to examine the mean completion time, μ , of an assembly line operation. The past data indicate that the mean completion time is 44 minutes, but the managers have reason to believe that this value has decreased. The managers plan to perform a statistical test. After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 40 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is H1 : μ is In the context of this test, what is a Type II error? A Type II error is the hypothesis that μ is when, in fact, μ is . Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making?
Managers at an automobile manufacturing plant would like to examine the mean completion time, μ , of an assembly line operation. The past data indicate that the mean completion time is 44 minutes, but the managers have reason to believe that this value has decreased. The managers plan to perform a statistical test. After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 40 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is H1 : μ is In the context of this test, what is a Type II error? A Type II error is the hypothesis that μ is when, in fact, μ is . Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Topic Video
Question
100%
Managers at an automobile manufacturing plant would like to examine the mean completion time,
, of an assembly line operation. The past data indicate that the mean completion time is
minutes, but the managers have reason to believe that this value has decreased. The managers plan to perform a statistical test.
minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of
minutes.
μ
44
After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be
40
3
Based on this information, answer the questions below.
| What are the null hypothesis (
H0
H1
H0
μ
H1
μ
In the context of this test, what is a Type II error? A Type II error is the hypothesis that μ
μ
Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? |
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON