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 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...

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...

The population has mean μ=29 and standard deviation σ=9.
This distribution is shown with the black dotted line.
We are asked for the mean and standard deviation of the
sampling distribution for a sample of size 34. The Central Limit
Theorem states that the sample mean of a sample of size n is
normally distributed with mean μx¯=μ and σx¯=σn√.
In our case, we have μ=29, σ=9, and n=34. So,
μx¯=29
and
σx¯=934‾‾‾√=1.5
This distribution is shown with the red...

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.

A normal population has a mean of 89 and a standard deviation of
8. You select a sample of 35. Use Appendix B.1 for the z-values.
Compute the probability that the sample mean is: (Round the
z-values to 2 decimal places and the final answers to 4 decimal
places.)
a. Less than 87.
Probability
b. Between 87 and 91
Probability
c. Between 91 and 92.
Probability
d. Greater than 92.
Probability

A random sample is drawn from a population with mean μ = 72 and
standard deviation σ = 6.0. [You may find it useful to reference
the z table.]
a. Is the sampling distribution of the sample mean with n = 17
and n = 45 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 = 17 will have...

(1)Given that x is a normal variable with mean μ = 52 and
standard deviation σ = 6.9, find the following probabilities.
(Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x
≥ 50) (c) P(50 ≤ x ≤ 60) (2) Find z such that 15% of the area under
the standard normal curve lies to the right of z. (Round your
answer to two decimal places.) (3) The University of Montana ski
team has six entrants...

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