The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a population standard deviation of .03 inch. If you select a random sample of 9 tennis balls,  (d) Between what two values symmetrically distributed around the mean are 60% of the values? (e) Given a random sample of 64 tennis balls, what is the probability that the sample mean is less than 2.61 inches? (f) Explain the difference in the results of (b) and (e).

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
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The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a population standard deviation of .03 inch. If you select a random sample of 9 tennis balls, 

(d) Between what two values symmetrically distributed around the mean are 60% of the values?

(e) Given a random sample of 64 tennis balls, what is the probability that the sample mean is less than 2.61 inches?

(f) Explain the difference in the results of (b) and (e).

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The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a population standard deviation of .03 inch. If you select a random sample of 9 tennis balls,

(a) What is the standard error of the mean?

(b) What is the probability that the sample mean is less than 2.61 inches?

(c) What is the probability that the sample mean is between 2.62 and 2.64 inches?

 

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