Q1.1 Computes 99% Interval Suppose that 40 randomly selected Mexican free-tail bats were selected and weighed. The sample mean weight was found to be 12.5 grams. Assume that the population standard deviation is known to be 1.1 grams. Someone computes the 99% confidence interval for the average weight of a Mexican free-tail bat as 12.5 ±2.576(1.1). What is the mistake of this student? (Be brief!)

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01 Confidence Interval Mistakes and Misunderstandings
Q1.1 Computes 99% Interval
Suppose that 40 randomly selected Mexican free-tail bats were selected and weighed. The sample
mean weight was found to be 12.5 grams. Assume that the population standard deviation is
known to be 1.1 grams.
Someone computes the 99% confidence interval for the average weight of a Mexican free-tail bat
as 12.5 2.576(1.1). What is the mistake of this student? (Be brief!)
Save Answer
Q1.2 States "I am 99% Confident"
After correcting the mistake in part (1.1), the student states "I am 99% confident that the sample
mean weight is between 12.052 and 12.948 grams." What is wrong with this statement? (Be brief!)
Save Answer
Q1.3 "Probability that true mean..."
The student quickly realizes the mistake made in part (1.2) and now says "The probability that the
true mean weight is between 12.052 and 12.948 grams is 99%." What misinterpretation is the
student making now? (Be brief!)
Save Answer
Q1.4 Defends use of Normal Distribution
Finally, to defend the use of the Normal distribution to calculate the confidence interval the student
says, "Because the sample size is quite large, the population of weights will be approximately
Normal." Correct this misunderstanding. (Be brief!)
Transcribed Image Text:01 Confidence Interval Mistakes and Misunderstandings Q1.1 Computes 99% Interval Suppose that 40 randomly selected Mexican free-tail bats were selected and weighed. The sample mean weight was found to be 12.5 grams. Assume that the population standard deviation is known to be 1.1 grams. Someone computes the 99% confidence interval for the average weight of a Mexican free-tail bat as 12.5 2.576(1.1). What is the mistake of this student? (Be brief!) Save Answer Q1.2 States "I am 99% Confident" After correcting the mistake in part (1.1), the student states "I am 99% confident that the sample mean weight is between 12.052 and 12.948 grams." What is wrong with this statement? (Be brief!) Save Answer Q1.3 "Probability that true mean..." The student quickly realizes the mistake made in part (1.2) and now says "The probability that the true mean weight is between 12.052 and 12.948 grams is 99%." What misinterpretation is the student making now? (Be brief!) Save Answer Q1.4 Defends use of Normal Distribution Finally, to defend the use of the Normal distribution to calculate the confidence interval the student says, "Because the sample size is quite large, the population of weights will be approximately Normal." Correct this misunderstanding. (Be brief!)
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