A random sample of
nequals=4949
observations is drawn from a population with a mean equal to
1515
and a standard deviation equal to
1414.
|
a. |
Give the mean and standard deviation of the (repeated)
sampling distribution
x overbarx. |
|
b. |
Describe the shape of the sampling distribution of
x overbarx. Does your answer depend on the sample size? |
|
c. |
Calculate the standard normal z-score corresponding to a value
of
x overbarxequals=12.512.5. |
|
d. |
Calculate the standard normal z-score corresponding to a value
of
x overbarxequals=1919. |
|
a. |
mu Subscript x overbarμxequals=nothing |
sigma Subscript x overbarσxequals=nothing |
SolutionA:
xbar=mu=15
sample standard deviation=s=sigma/sqrt(samplesize)=14/sqrt(49)=14/7=2
Solutionb:
here n=49
follows normal distribution as n>30
ANSWER:normal distribution
Solutionc:
zscore for xbar=12.5
z=xbar-mu/s
=12.5-15/2
=-1.25
ANSWER:
z score=-1.25
Solutiond:
zscore for xbar=19
z=xbar-mu/s
=19-15/2
=4/2
=2
ANSWER:
z score=2
A random sample of nequals=4949 observations is drawn from a population with a mean equal to...
A random sample of n=49 observations is drawn from a population with a mean equal to15 and a standard deviation equal to 14. a. Give the mean and standard deviation of the (repeated) sampling distribution x overbarx. b. Describe the shape of the sampling distribution of x overbarx. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x overbarxequals=12.5. d. Calculate the standard normal z-score corresponding to a value of...
A random sample of =49 observations is drawn from a population with a mean equal to 15 and a standard deviation equal to 14. a. Give the mean and standard deviation of the (repeated) sampling distribution x overbarx. b. Describe the shape of the sampling distribution of x overbarx. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x overbarxequals=12.5. d. Calculate the standard normal z-score corresponding to a value...
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