Question
In: Statistics and Probability
A random sample of 32 is obtained by population with mu=32 standard deviation= 10 a. Describe...
A
random sample of 32 is obtained by population with mu=32 standard
deviation= 10
a. Describe The sampling distribution of the sample mean
b. find the sample mean that has 60.5 percentile
c. find the probability of the mean in between 29 and 36
Solutions
orchestra answered 1 year agoRelated Solutions
A random sample of 32 is obtained from a population with (mean = 32) (standard deviation=...
A random sample of 32 is obtained from a population with (mean =
32) (standard deviation= 10)
A) Describe the sampling distribution of the sample mean.
B) Find the sample that has the 60.5th percentile
C) Find the probability of the mean is between 29 and 36
For a random sample of size 64 from a population with mu=24 and standard deviation sigma=1.5....
For a random sample of size 64 from a population with mu=24 and
standard deviation sigma=1.5. State the center, variation, and
shape of the sampling distribution for samples of size 64. Justify
your answer. Find the probability that the sample mean exceeds
24.3. Draw a fully labeled picture that illustrates the
probability, and write down your answer using probability
notation.
1. A population random variable X has mean LaTeX: \mu=10μ = 10 and standard deviation LaTeX:...
1. A population random variable X has mean LaTeX: \mu=10μ = 10
and standard deviation LaTeX: \sigma=5σ = 5. Samples of size 36 are
drawn with replacement. Find the probability that the sample mean
LaTeX: \overline{X}X ¯ will be between 6.5 and 14, inclusive?
2. 52 percent of the voting population of a city favor candidate
A for mayor. What is the probability that more than 51 percent will
favor A in a random sample 50 voters from the city?
Suppose a simple random sample of size nequals49 is obtained from a population with mu equals...
Suppose a simple random sample of size nequals49 is obtained
from a population with mu equals 71 and sigma equals 28. (a)
Describe the sampling distribution of x overbar. (b) What is Upper
P left parenthesis x overbar greater than 78 right parenthesis?
(c) What is Upper P left parenthesis x overbar less than or equals
62.8 right parenthesis? (d) What is Upper P left parenthesis 66.8
less than x overbar less than 77.6 right parenthesis?
Suppose a simple random sample of size nequals49 is obtained from a population with mu equals...
Suppose a simple random sample of size nequals49 is obtained
from a population with mu equals 71 and sigma equals 7. (a)
Describe the sampling distribution of x overbar. (b) What is Upper
P left parenthesis x overbar greater than 72.5 right parenthesis?
(c) What is Upper P left parenthesis x overbar less than or equals
68.9 right parenthesis? (d) What is Upper P left parenthesis
69.65 less than x overbar less than 72.65 right parenthesis?
A population has a mean of 128 and a standard deviation of 32. Suppose a sample...
A population has a mean of 128 and a standard deviation of 32.
Suppose a sample of size 64 is selected and
x
is used to estimate μ. (Round your answers to four
decimal places.)
(a)
What is the probability that the sample mean will be within ±5
of the population mean?
A population has a mean of 128 and a standard deviation of 32. Suppose a sample...
A population has a mean of 128 and a standard deviation of 32.
Suppose a sample of size 64 is selected and
x
is used to estimate μ. (Round your answers to four
decimal places.)
(a)
What is the probability that the sample mean will be within ±5
of the population mean?
(b)
What is the probability that the sample mean will be within ±10
of the population mean?
A population has a mean of 128 and a standard deviation of 32. Suppose a sample...
A population has a mean of 128 and a standard deviation of 32.
Suppose a sample of size 64 is selected and x is used to estimate
μ. (Round your answers to four decimal places.)
(a) What is the probability that the sample mean will be within
±5 of the population mean?
(b) What is the probability that the sample mean will be within
±10 of the population mean?
You may need to use the appropriate appendix table or technology...
A simple random sample of size n=64 is obtained from a population with mu equals 76...
A simple random sample of size n=64 is obtained from a
population with mu equals 76 and sigma equals 8. (a) Describe the
sampling distribution of x overbar. (b) What is Upper P left
parenthesis x overbar greater than 77.9 right parenthesis? (c)
What is Upper P left parenthesis x overbar less than or equals
73.55 right parenthesis? (d) What is Upper P left parenthesis
74.85 less than x overbar less than 78.1 right parenthesis?
Suppose a simple random sample of size n=41 is obtained from a population with mu=61 and...
Suppose a simple random sample of size n=41 is obtained from a
population with mu=61 and sigma=19.
(b) Assuming the normal model can be used, determine
P(x overbarx < 71.4).
(c) Assuming the normal model can be used, determine
P(x overbarx ≥ 69.1).
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