The average mark (out of 100) of a class of 300 students on a statistics examination is 68.2 with standard deviation 9.2. Suppose random sample of marks of 40 students is selected. What is the probability that the sample mean will be (a)  less than 65? (b)  more than 72?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The average mark (out of 100) of a class of 300 students on a statistics examination is 68.2 with
standard deviation 9.2. Suppose random sample of marks of 40 students is selected. What is the probability that
the sample mean will be
(a)  less than 65?
(b)  more than 72?

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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,