A simple random sample of size n=81is obtained from a population with μ=82 and σ=36. ​(a) Describe the sampling distribution of x. ​(b) What is P x>86.4​? ​(c) What is P x≤73.6​? ​(d) What is P 77.4

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
Section13.3: Special Probability Density Functions
Problem 19E
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A simple random sample of size n=81is obtained from a population with μ=82 and σ=36. ​(a) Describe the sampling distribution of x. ​(b) What is P x>86.4​? ​(c) What is P x≤73.6​? ​(d) What is P 77.4<x<90.2​?
 
 
A simple random sample of size n = 81 is obtained from a population with u = 82 and o = 36.
(a) Describe the sampling distribution of x.
(b) What is P (x > 86.4) ?
(c) What is P (xs73.6) ?
(d) What is P (77.4 <x< 90.2) ?
...
A. The distribution is approximately normal.
B. The distribution is uniform.
C. The distribution is skewed right.
D. The distribution is skewed left.
E. The shape of the distribution is unknown.
Find the mean and standard deviation of the sampling distribution of x.
Transcribed Image Text:A simple random sample of size n = 81 is obtained from a population with u = 82 and o = 36. (a) Describe the sampling distribution of x. (b) What is P (x > 86.4) ? (c) What is P (xs73.6) ? (d) What is P (77.4 <x< 90.2) ? ... A. The distribution is approximately normal. B. The distribution is uniform. C. The distribution is skewed right. D. The distribution is skewed left. E. The shape of the distribution is unknown. Find the mean and standard deviation of the sampling distribution of x.
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