Question

A random sample of n = 25 is selected from a normal population with mean μ = 101 and standard deviation σ = 13.

(a) Find the probability that x exceeds 108. (Round your answer to four decimal places.)

(b) Find the probability that the sample mean deviates from the population mean μ = 101 by no more than 3. (Round your answer to four decimal places.)

Answer #1

A random sample of n = 25 is selected from a normal
population with mean
μ = 102
and standard deviation
σ = 11.
(a)
Find the probability that
x
exceeds 107. (Round your answer to four decimal places.)
(b)
Find the probability that the sample mean deviates from the
population mean μ = 102 by no more than 2. (Round your
answer to four decimal places.)
You may need to use the appropriate appendix table or technology
to answer...

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 is selected from a population with mean μ = 100
and standard deviation σ = 10.
Determine the mean and standard deviation of the x sampling
distribution for each of the following sample sizes. (Round the
answers to three decimal places.)
(a) n = 8 μ = σ =
(b) n = 14 μ = σ =
(c) n = 34 μ = σ =
(d) n = 55 μ = σ =
(f) n = 110...

A random sample is selected from a population with mean
μ = 102 and standard deviation σ = 10. Determine
the mean and standard deviation of the x sampling
distribution for each of the following sample sizes. (Round the
answers to three decimal places.)
(a) n = 12
μ =
σ =
(b) n = 13
μ =
σ =
(c) n = 37
μ =
σ =
(d) n = 70
μ =
σ =
(f) n = 140...

A
random sample is selected from a normal population with a mean of μ
= 20 and a standard deviation of σ =5 10. After a treatment is
administered to the individuals in the sample, the sample mean is
found to be M = 25. If the sample consists of n = 25 scores, is the
sample mean sufficient to conclude that the treatment has a
significant effect? Use a two-tailed test with alpha =
.05.

A population of values has a normal distribution with μ=137.5
and σ=14.4. A random sample of size n=142
is drawn.
Find the probability that a single randomly selected value is
between 136 and 140.6. Round your answer to four decimal
places.
P(136<X<140.6)=
Find the probability that a sample of size n=142 is randomly
selected with a mean between 136 and 140.6. Round your answer
to four decimal places.
P(136<M<140.6)=

A population of values has a normal distribution with μ=64 and
σ=63.6. A random sample of size n=24 is drawn.
Find the probability that a single randomly selected value is
between 25.1 and 57.5. Round your answer to four
decimal places. to find answer
P(25.1<X<57.5)=
Find the probability that a sample of size n=24 is randomly
selected with a mean between 25.1 and 57.5. Round your
answer to four decimal places. to find answer
P(25.1<M<57.5)=

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 of size n = 80 is taken from a
population with mean μ = -15.2 and standard deviation σ = 5.
What is the probability that the sample mean falls between -15
and -14? (Do not round intermediate calculations. If you
use the z table, round "z" values to 2 decimal
places. Round your final answer to 4 decimal places.

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