Math 227 - Statistics » Spring 2023 » 11P Sampling Distributions and Estimators & The Central Limit Theorem
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Question #1
The weights of the fish in a certain lake are normally distributed with a mean of 5.6 lb and a standard deviation of 1.2 lb. If 11 fish are randomly selected, what is the probability that the mean weight will be more than 4.5 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.
A.
98.81
B.
99.99
C.
98.89
D.
99.88
Question #2
The weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb and a standard deviation of 2.9 lb. If 32 fish are randomly selected, what is the probability that the mean weight will be less than 11.5 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.
A.
98.68
B.
99.68
C.
99.38
D.
99.88
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