BIG Corporation advertises that its light bulbs have a mean lifetime, μ , of at least 2900 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2760 hours and that the sample standard deviation of the lifetimes is 600 hours. 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 ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?27602900600 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?27602900600 In the context of this test, what is a Type II error? A Type II error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?27602900600 when, in fact, μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?27602900600. Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? ?Type IType II
BIG Corporation advertises that its light bulbs have a mean lifetime, μ , of at least 2900 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2760 hours and that the sample standard deviation of the lifetimes is 600 hours. 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 ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?27602900600 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?27602900600 In the context of this test, what is a Type II error? A Type II error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?27602900600 when, in fact, μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?27602900600. Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? ?Type IType II
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
Related questions
Topic Video
Question
BIG Corporation advertises that its light bulbs have a mean lifetime,
, of at least
hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is
hours and that the sample standard deviation of the lifetimes is
hours.
μ
2900
2760
600
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 ?rejectingfailing to reject the hypothesis that μ
μ
Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? ?Type IType II |
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 with 2 images
Knowledge Booster
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.Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,