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A citrus farmer would like to estimate the true mean weight μ (in grams) of all...

A citrus farmer would like to estimate the true mean weight μ (in grams) of all oranges grown in his orange grove. Based on a random sample of 100 oranges, a 97% confidence interval for μ is calculated to be (180, 200). What is the correct interpretation of this interval?

Question 6 options:

A)

The probability that the true mean weight of all oranges grown in the orange grove is between 180 and 200 grams is 97%.

B)

If we took repeated samples of 100 oranges and calculated the interval in a similar manner, 97% of the time the sample mean would fall between 180 and 200 grams.

C)

If we took repeated samples of 100 oranges and calculated the interval in a similar manner, 97% of the time the population mean would fall between 180 and 200 grams.

D)

If we took repeated samples of 100 oranges and calculated the interval in a similar manner, 97% of all such intervals would contain the mean weight of the 100 oranges.

E)

If we took repeated samples of 100 oranges and calculated the interval in a similar manner, 97% of all such intervals would contain the true mean weight of all oranges grown in the orange grove.
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