Suppose it is known that the mean and the standard deviation for a given population are 65 and 8, respectively. What is the probability that a sample of 100 drawn from this population will have a mean greater than 66?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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2. Suppose it is known that the mean and the standard deviation for a given population are 65 and 8, respectively. What is the probability that a sample of 100 drawn from this population will have a mean greater than 66?

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Suppose the mean blood glucose of a population of adults is 162 with a standard deviation σ=58. From sample sizes of 36 adults find the proportion of sample means having values of at least 170.

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