3. The length of a great white shark follows a normal distribution with a mean of...
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3. The length of a great white shark follows a normal distribution with a mean of 15.5 feet and a standard deviation of 2.5 feet. (a) What is the probability that a randomly selected great white shark is greater than 17 feet? (b) If you randomly sample 25 sharks, what is the probability that the sample mean of those 25 sharks is greater than 17 feet? (c) Compare your answers and explain why one is smaller than the other. 4. The distribution of low density lipoprotein, LDL, is normal with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. Suppose you want the width of the interval that contains the sample mean for 99.7% of all samples of size n to be 22. How many people should you sample. That is, what is n? 3. The length of a great white shark follows a normal distribution with a mean of 15.5 feet and a standard deviation of 2.5 feet. (a) What is the probability that a randomly selected great white shark is greater than 17 feet? (b) If you randomly sample 25 sharks, what is the probability that the sample mean of those 25 sharks is greater than 17 feet? (c) Compare your answers and explain why one is smaller than the other. 4. The distribution of low density lipoprotein, LDL, is normal with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. Suppose you want the width of the interval that contains the sample mean for 99.7% of all samples of size n to be 22. How many people should you sample. That is, what is n?
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answer a The probability that a randomly selected great white shark is greater than 17 feet is 00668 b The probability that the sample mean of 25 shar... View the full answer
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