Fifty oranges of one variety were selected at random and weighed. A $$\(95 \%\)$$ confidence interval computed from the sample weights to estimate the mean weight of oranges of this variety is $$\((7.58,8.72)\)$$ ounces. Which of the following statements is true with respect to the confidence level used?
A.
In repeated samplings of the same size, \(95 \%\) of the intervals constructed will contain the true mean weight of the oranges of this variety
B.
In repeated samplings of the same size, \(95 \%\) of the intervals constructed will contain the sampled mean weight of the oranges.
C.
Ninety-five \(\%\) of the oranges in this sample weigh between 7.58 and 8.72 ounces.
D.
Ninety-five \(\%\) of the oranges of this variety weigh between 7.58 and 8.72 ounces.
E.
There is a \(95 \%\) chance that the mean weight of another sample of 50 oranges from this variety will be between 7.58 and 8.72 ounces.
Exam No:AP Statistics Problem Set 11 Year:2024 Question No:1
Answer:
A
Knowledge points:
4.8 Mean and Standard Deviation of Random Variables
6.2 Constructing a Confidence Interval for a Population Proportion
Solution:
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