AnswersStatisticsTesting a Claim about a Difference between Means — QuizQuestion 5
5
QuizMultiple Choice

Testing a Claim about a Difference between Means — Quiz

Question 5 • Statistics

A manufacturing company packages shipments in either large or small boxes. A random sample of 40 shipments that are packaged in large boxes is found to have a mean of 15 pounds and a standard deviation of 2 point 8 pounds. A separate random sample of 50 shipments that are packaged in small boxes is found to have a mean of 10 pounds and a standard deviation of 1 point 5 pounds. The manager would like to know if the data provide convincing evidence that the true mean weight of all shipments that are packaged in small boxes is less than the true mean weight of all shipments that are packaged in large boxes. Let mu sub cap l is equal to the true mean weight of all shipments that are packaged in large boxes and mu sub cap s is equal to the true mean weight of all shipments that are packaged in small boxes. What are the appropriate hypotheses?

Answer
A
ratio of cap h sub 0 to mu sub cap s minus mu sub cap l is equal to 0 , ratio of cap h sub A to mu sub cap s minus mu sub cap l is less than 0
B
ratio of cap h sub 0 to mu sub cap s minus mu sub cap l is less than 0 , ratio of cap h sub A to mu sub cap s minus mu sub cap l is equal to 0
C
ratio of cap h sub 0 to mu sub cap s minus mu sub cap l is equal to 0 , ratio of cap h sub A to mu sub cap s minus mu sub cap l is greater than 0
D
ratio of cap h sub 0 to mu sub cap s minus mu sub cap l is greater than 0 , ratio of cap h sub A to mu sub cap s minus mu sub cap l is equal to 0

Explanation

The manager wants to test whether the mean weight for small-box shipments is less than the mean for large-box shipments. Written as a difference, that claim is μ_s − μ_l < 0, so it is the alternative hypothesis. The null hypothesis uses equality: μ_s − μ_l = 0. Thus, choice A is correct.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz