Mathematics, 20.03.2021 23:40 sukiyoshi10
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.
A dotplot titled mean weights of granny smith apples. A number line labeled simulated mean weights of samples, n = 40 goes from 365 to 395. One dot is above 392. The rest of the dots are before 388.
Using the dotplot, is there evidence that the true mean weight of Granny Smith apples is greater than 380 grams?
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.
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.
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.
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.
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