Question

A random sample of n=36 observations is drawn from a population with a mean equal to 60 and a standard deviation equal to 36.

a. Find the probability that x? is less than 48 ____

b. Find the probability that x? is greater than 63____

c. Find the probability that x? falls between 48 and 78 ____

Answer #1

Given

and

a)To find

b) To find

c) To find

A random sample of n=81 observations is drawn from a population
with a mean equal to 57 and a standard deviation equal to 54, find
the probability if x is less than 51, x is greater than 66, and if
x falls between 51 and 63

A random sample of n = 100 observations is drawn from a
population with mean equal to 21 and standard deviation equal to
20, i.e. population mean is 21 and population standard deviation is
20. Complete parts a through d below.
a. What is the probability distribution of ?̅? i.e., Give the
mean and standard deviation of the sampling distribution of ?̅ and
state whether it is normally distributed or not.
b. Find P ( 18.7 < ?̅ < 23.3...

A random sample of n = 100 observations is drawn from a
population with mean equal to 21 and standard deviation equal to
20, i.e. population mean is 21 and population standard deviation is
20. Complete parts a through d below.
a. What is the probability distribution of ?̅? i.e., Give the
mean and standard deviation of the sampling distribution of ?̅ and
state whether it is normally distributed or not.
b. Find P ( 18.7 < ?̅ < 23.3...

A random sample of n = 81 observations is drawn from a
population with a mean equal to 15 and a standard deviation equal
to 9 . Complete parts a through g below. a. Give the mean and
standard deviation of the? (repeated) sampling distribution x
overbar . mu Subscript x overbar equalsnothingsigma Subscript x
overbar equalsnothing ?(Type integers or? decimals.) b. Describe
the shape of the sampling distribution of x overbar . Does this
answer depend on the sample?...

1. A sample size of 49 drawn from a population with a mean of 36
and a standard deviation of 15 for the size of an English class.
What is the probability the class will have greater than 40
a. .9693
b. .4693
c. .0808
d. .0307
2. A sample size of 49 drawn from a population with a mean of 36
and a standard deviation of 15 for the size of an English class.
What is the probability the...

Suppose a random sample of n = 25 observations is
selected from a population that is normally distributed with mean
equal to 108 and standard deviation equal to 14.
(a) Give the mean and the standard deviation of the sampling
distribution of the sample mean
x.
mean
standard deviation
(b) Find the probability that
x
exceeds 113. (Round your answer to four decimal places.)
(c) Find the probability that the sample mean deviates from the
population mean ? = 108...

Suppose a random sample of n = 16 observations is selected from
a population that is normally distributed with mean equal to 102
and standard deviation equal to 10.
a) Give the mean and the standard deviation of the sampling
distribution of the sample mean x.
mean =
standard deviation =
b) Find the probability that x exceeds 106. (Round your
answer to four decimal places.)
c) Find the probability that the sample mean deviates from the
population mean μ...

A random sample of 25 observations is to be drawn from a
population with the mean of 40 and a standard deviation of 25. The
probability that the mean of the sample will exceed 45 is:
a.Not possible to compute
b. 0.4772
c. 0.4207
d. 0.0228

A sample of size 15will be drawn from a population with mean 135
and standard deviation 36
.
(a) Is it appropriate to use the normal distribution to find
probabilities for x?
(b) If appropriate find the probability that X will be
less than 118
.
(c) If appropriate find the
90th percentile of x
A sample of size 15will be drawn from a population with mean 135
and standard deviation 36
.
(a) Is it appropriate to use the normal...

Suppose a random sample of n=36 measurements is selected from a
population with mean u=256 and variance o^2=144.
a. Describe the sampling distribution of the sample mean x bar.
(Hint: describe the shape, calculate the mean and the standard
deviation of the sampling distribution of x bar.
b. What is the probability that the sample mean is greater than
261?

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