Question

a.) Given a normal distribution with population standard
deviation of 21 and a mean of *μ* = 29. If a random sample
of size 62 is drawn, find *P*(29 ≤ *x* ≤ 31).

Round to three decimal places.

b.) Find the positive *z* value such that 89% of the
standard normal curve lies between *–z* and *z*. (Use
2 decimal places.)

c.) For a standard normal curve, find the area between
*z* = 0.28 and *z* = 1.95. (Use 4 decimal
places.)

d.) If the coefficient of variation is 1.2% and the mean is 1.8, determine the standard deviation. (Enter your answer as a decimal number to 4 places.)

e.) Find the mean of a binomial distribution when the sample
size is 214 and *q* = 30%.

Answer #1

a.) For a standard normal curve, find the area between z = 0.28
and z = 1.95. (Use 4 decimal places.)
b.) Find the positive z value such that 89% of the
standard normal curve lies between –z and z. (Use
2 decimal places.)
c.) Given a normal distribution with population standard
deviation of 21 and a mean of μ = 29. If a random sample
of size 62 is drawn, find P(29 ≤ x ≤ 31).
Round to three...

Given a normal distribution with population standard deviation
of 2 and a mean of μ = 10. If a random sample of size 69
is drawn, find P(10 ≤ x ≤ 12).
Round to three decimal places.

a) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 4; σ = 6
P(1 ≤ x ≤ 13) =
b) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 103; σ = 20
P(x ≥ 120) =
c) Find z such that 5%...

A random sample is drawn from a population with mean μ
= 53 and standard deviation σ = 4.4. [You may find
it useful to reference the z table.]
a. Is the sampling distribution of the sample
mean with n = 13 and n = 38 normally
distributed?
Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal
distribution.
No, only the sample mean with n = 13 will have...

A random sample is drawn from a population with mean μ
= 52 and standard deviation σ = 4.3.
a. Is the sampling distribution of the sample
mean with n = 13 and n = 39 normally
distributed?
Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal
distribution.
No, only the sample mean with n = 13 will have a normal
distribution.
No, only the sample mean with n...

Q1-. A normal distribution has a mean of 15 and a standard
deviation of 2. Find the value that corresponds to the 75th
percentile. Round your answer to two decimal places.
Q2-.Tyrell's SAT math score was in the 64th percentile. If all
SAT math scores are normally distributed with a mean of 500 and a
standard deviation of 100, what is Tyrell's math score? Round your
answer to the nearest whole number.
Q3-.Find the z-score that cuts off an area...

A normal distribution has a mean equal to 48. What is the
standard deviation of this normal distribution if 2.5% of the
proportion under the curve lies to the right of x = 61.72? (Round
your answer to two decimal places.)

A normal population has a mean of 61 and a standard deviation of
4. You select a sample of 38.
Compute the probability that the sample mean is: (Round
your z values to 2 decimal places and final answers to 4
decimal places.)
Less than 60.
Between 60 and 62.
Between 62 and 63.
Greater than 63.

Given a standardized normal
distribution (with a mean of 0 and a standard deviation of 1) what
is the probability that
Z is between -1.23 and 1.64
Z Is less than -1.27 or greater than 1.74
For normal data with values symmetrically distributed around
the mean find the z values that contain 95% of the data
Find the value of z such that area to the right is 2.5% of the
total area under the normal curve

A distribution of values is normal with a mean of 80 and a
standard deviation of 22. From this distribution, you are drawing
samples of size 34.
Find the interval containing the middle-most 36% of sample
means:
Enter answer using interval notation. In this context, either
inclusive or exclusive intervals would be acceptable. Your numbers
should be accurate to 1 decimal places. Answers obtained using
exact z-scores or z-scores rounded to 3 decimal
places are accepted.

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