After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 45 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 6 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 less than less than or equal to greater than greater than or equal to not equal to equal to H1: μ is less than less than or equal to greater than greater than or equal to not equal to equal to In the context of this test, what is a Type I error? A Type I error is rejecting failing to reject the hypothesis that μ is less than less than or equal to greater than greater than or equal to not equal to equal to when, in fact, μ is ? less than less than or equal to greater than greater than or equal to not equal to equal to Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? Type I Type II
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 43 minutes, but the managers have reason to believe that this value has increased. 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 45 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 6 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
less than
less than or equal to
greater than
greater than or equal to
not equal to
equal to
H1: μ is
less than
less than or equal to
greater than
greater than or equal to
not equal to
equal to
rejecting failing to reject the hypothesis that μ is less than less than or equal to greater than greater than or equal to not equal to equal to when, in fact, μ is ? less than less than or equal to greater than greater than or equal to not equal to equal to
Type I Type II |
|
|
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
