Suppose x has a distribution with a mean of 70 and a standard deviation of 51. Random samples of size n = 36are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has ---Select--- a binomial an approximately normal an unknown a geometric a normal a Poisson distribution with mean μx = and standard deviation σx = . (b) Find the z value corresponding to x = 61.5. z = (c) Find P(x < 61.5). (Round your answer to four decimal places.) P(x < 61.5) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 61.5? Explain. Yes, it would be unusual because less than 5% of all such samples have means less than 61.5. Yes, it would be unusual because more than 5% of all such samples have means less than 61.5. No, it would not be unusual because more than 5% of all such samples have means less than 61.5. No, it would not be unusual because less than 5% of all such samples have means less than 61.5.
Suppose x has a distribution with a mean of 70 and a standard deviation of 51. Random samples of size n = 36are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has ---Select--- a binomial an approximately normal an unknown a geometric a normal a Poisson distribution with mean μx = and standard deviation σx = . (b) Find the z value corresponding to x = 61.5. z = (c) Find P(x < 61.5). (Round your answer to four decimal places.) P(x < 61.5) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 61.5? Explain. Yes, it would be unusual because less than 5% of all such samples have means less than 61.5. Yes, it would be unusual because more than 5% of all such samples have means less than 61.5. No, it would not be unusual because more than 5% of all such samples have means less than 61.5. No, it would not be unusual because less than 5% of all such samples have means less than 61.5.
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 7E
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Question
Suppose x has a distribution with a
(a) Describe the
x distribution
and compute the mean and standard deviation of the distribution.
x
has ---Select--- a binomial an approximately normal an unknown a geometric a normal a Poisson distribution with
mean μx =
and
standard deviation σx = .
(b) Find the z value corresponding to
x = 61.5.
z =
(c) Find
P(x < 61.5).
(Round your answer to four decimal places.)
P(x < 61.5) =
(d) Would it be unusual for a random
Yes, it would be unusual because less than 5% of all such samples have means less than 61.5.
Yes, it would be unusual because more than 5% of all such samples have means less than 61.5.
No, it would not be unusual because more than 5% of all such samples have means less than 61.5.
No, it would not be unusual because less than 5% of all such samples have means less than 61.5.
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