2
QuizMultiple Choice
Sampling Distributions – Center and Variability
Question 2 • NC-Math 4
The owner of an apple orchard knows that the average weight of Granny Smith apples is 380 grams. A random sample of 40 apples was selected, and the mean weight was 390 grams. Let μ = the true mean weight of the Granny Smith apples in the orchard. Under the assumption that the true mean weight of Granny Smith apples is 380 grams, 100 simulated means for samples of size 40 are shown in the dotplot.Using the dotplot, is there evidence that the true mean weight of Granny Smith apples is greater than 380 grams?
Answer
A
Yes, since a sample mean weight of 390 grams or more only occurred once in 100 simulated values, there is evidence that the true mean weight is greater than 380 grams.B
Yes, since a sample weight of 390 grams is greater than the mean weight of 380 grams, there is evidence to prove that the true mean weight of the apples is greater than 380 grams.C
No, since a sample mean weight of 390 grams is only 10 grams more than a mean weight of 380 grams, there is insufficient evidence that the true mean weight of the apples is greater than 380 grams.D
No, since a sample mean weight of 390 grams never occurred in the dotplot, it is not possible that a random sample of 40 apples will have a mean weight of 390 grams. Therefore, there is insufficient evidence that the true mean weight is greater than 380 grams.