Before any order is shipped, inspectors at Alvarez Manufacturing test a sample of finished units for breaking
Question:
Before any order is shipped, inspectors at Alvarez Manufacturing test a sample of finished units for breaking strength. You select a simple random sample of units from a recently completed order and find that the sample average breaking strength is 814 pounds. From the sample selected, you construct a 95% confidence interval estimate of the average breaking strength you could expect to find if all the units in the order were tested. The interval turns out to be 814 ± 7.5 lbs. How would you interpret your result?
A) | Approximately 95% of the units in the order will have a breaking strength of between 806.5 lbs. and 821.5 lbs. | |
B) | Approximately 95% of the units in the sample have a breaking strength of between 806.5 lbs. and 821.5 lbs. | |
C) | Approximately 95% of the units in the population will have a breaking strength of between 806.5 and 821.5 lbs. | |
D) | We can be 95% confident that all the units in the order have a breaking strength of between 806.5 lbs. and 821.5 lbs. | |
E) | If we were to repeat this estimating procedure a large number of times, approximately 95% of the intervals we construct would contain the actual order average breaking strength. |
Introductory Statistics Exploring The World Through Data
ISBN: 9780135163146
3rd Edition
Authors: Robert Gould, Rebecca Wong, Colleen N. Ryan