Question

Please fill in the blanks.

1)If normal distribution A has a mean of 40 and a standard deviation of 20 and normal distribution B has a mean of 40 and a standard deviation of 10, then curve is ________ and _________ than curve B. If normal distribution C had mean of 30 and a standard deviation of 20, then curve C has the same shape as curve ________ but has a different shape.

2) When np ≥ _____ and n(1-p) ≥ _______, then the normal distribution provides a reasonable approximation to the binomial distribution. If the number of trials is 100 and the probability of failure is 0.80, then the mean of the normal approximation is _______ and the standard deviation is _________.

3) The two z- scores bounding the middle 95% of a normal distribution are ________. The two z-scores bounding the middle 90% of a normal distribution are _______ and _______.

Answer #1

1)

If normal distribution A has a mean of 40 and a standard
deviation of 20 and normal distribution B has a mean of 40 and a
standard deviation of 10, then curve is **shorter**
and **wider** than curve B. If normal distribution C
had mean of 30 and a standard deviation of 20, then curve C has the
same shape as curve **A** but has a different
shape.

2)

When np ≥ **10** and n(1-p) ≥ **10**
then the normal distribution provides a reasonable approximation to
the binomial distribution. If the number of trials is 100 and the
probability of failure is 0.80, then the meanof the normal
approximation is **80(n=np)** and the standard
deviation is **16**.

3) The two z- scores bounding the middle 95% of a normal
distribution are **+/-1.96.** The two z-scores
bounding the middle 90% of a normal distribution are **1.645
and -1.645**.

Fill in the blanks with the appropriate raw scores,
z-scores, or T-scores for the following normal
distribution with a mean of 50 and SD of 5.
Raw
Score z-
Score T-
Score
Student
A 35 _______ _______
Student
B ________ +
1.2 _______
Student
C ________ ________ 35

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%...

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 shaped distribution has a mean =200 and a standard
deviation =30. What are the z score values that form the boundaries
for the middle 95% of the distribution?

Part 1-
A binomial distribution has mean or expected value μ, where μ =
np. What will be the expected value of number of left-handed people
in a sample of 200, if the probability of one of them being
left-handed is 22%?
Part 2-
A binomial distribution has a standard deviation of σ, where
where σ = npq and where n is sample size, p is probability of
success and q is the probability of failure. (Whatever is asked
about...

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...

Using a normal distribution and z score formula answer
the following questions
a. Find the score that cuts off the bottom 35% of the
normal curve
b. Find the data value to the nearest whole number that
cuts off the op 10% of the curve given
that the mean is 75 and sample standard deviation is
5
C Find the z scores that cut off the middle 60% of the
normal curve.

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...

A distribution of values is normal with a mean of 90 and a
standard deviation of 8.
Find the interval containing the middle-most 32% of
scores:

1. What is the first quartile of a normal distribution
with mean 40, and standard deviation 7? Round to three decimal
places.
2. What is the third quartile of a normal distribution
with mean 40, and standard deviation 7? Round to three decimal
places.
3. What is the IQR of a normal distribution with mean
40, and standard deviation 7? Round to three decimal
places.

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