1. In a normal distribution with a mean of 70 and a standard
deviation of 5, which z score is closest to the mean? z= -0.02,
0.95, 2.50, -1.00, 0.07
2. heights of 10 year olds, regardless of gender, closely follow
a normal distribution with a mean of mu= 55in and standard
deviation of 6 in. What is the z score of a girl who is 61 in
tall?
3. Petra took two exams last week, one in french and...
A population has a mean of μ = 70 and a standard
deviation of σ = 12
For the same population, find the score (X value) that
corresponds to each of the following z-scores.
z = 0.50: X=_____
z = 1.50: X=_____ z
= -2.50: X=_____
z = -0.25:
X=_____
z = -0.50: X=_____ z = 1.25:
X=_____
A sample has a mean of M = 30 and a standard deviation of s =
7. Find the z-score...
A population has a mean of 400 and a standard deviation of 70.
Suppose a sample of size 125 is selected. Use z-table.
a. What is the probability that the sample mean
will be within +4 or -4 of the population mean (to 4 decimals)?
b. What is the probability that the sample mean
will be within +10 0r -10 of the population mean (to 4
decimals)?
Suppose x has a distribution with a mean of 70 and a standard
deviation of 52. Random samples of size n = 64 are drawn. (a)
Describe the x distribution and compute the mean and standard
deviation of the distribution. x has distribution with mean μx =
and standard deviation σx = .
(b) Find the z value corresponding to x = 83. z =
(c) Find P(x < 83). (Round your answer to four decimal
places.) P(x < 83)...
A population has a mean of 300 and a standard deviation of 70.
Suppose a sample of size 125 is selected and is used to
estimate . Use z-table.
What is the probability that the sample mean will be within +/-
3 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
10 of the population mean (to 4 decimals)? (Round z...
A population has a mean of 200 and a standard deviation of 70.
Suppose a sample of size 100 is selected and is used to estimate .
Use z-tableWhat is the probability that the sample mean will be
within +/- 6 of the population mean (to 4 decimals)What is the
probability that the sample mean will be within +/- 19 of the
population mean
A population has a mean of 200 and a standard deviation of 70.
Suppose a sample of size 100 is selected and is used to estimate .
Use z-table. What is the probability that the sample mean will be
within +/- 3 of the population mean What is the probability that
the sample mean will be within +/- 17 of the population mean (to 4
decimals)? (Round z value in intermediate calculations to 2 decimal
places.)
Suppose x has a distribution with a mean of 70 and a standard
deviation of 3. Random samples of size n = 36 are drawn.
(a) Describe the x bar distribution.
-x bar has an unknown distribution.
-x bar has a binomial distribution.
-x bar has a Poisson distribution.
-x bar has a geometric distribution.
-x bar has a normal distribution.
-x bar has an approximately normal distribution.
Compute the mean and standard deviation of the distribution.
(For each answer,...
A population has a mean of 300 and a standard deviation of 70.
Suppose a sample of size 100 is selected and is used to estimate .
Use z-table.
What is the probability that the sample mean will be within +/-
6 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
18 of the population mean (to 4 decimals)? (Round...
A population has a mean of 300 and a standard deviation of 70.
Suppose a sample of size 100 is selected x and is used to estimate
m. Use z-table.
a. What is the probability that the sample mean will be within +/-
3 of the population mean (to 4 decimals)? (Round z value in
intermediate calculations to 2 decimal places.)
b. What is the probability that the sample mean will be within +/-
13 of the population mean (to...