Question
In: Statistics and Probability
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?
Solutions
orchestra answered 1 year agoRelated Solutions
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 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?
A simple random sample of size nequals=8181 is obtained from a population with mu equals 73μ=73...
A simple random sample of size
nequals=8181
is obtained from a population with
mu equals 73μ=73
and
sigma equals 18σ=18.
(a) Describe the sampling distribution of
x overbarx.
(b) What is
Upper P left parenthesis x overbar greater than 75.9 right
parenthesisP x>75.9?
(c) What is
Upper P left parenthesis x overbar less than or equals 68.8
right parenthesisP x≤68.8?
(d) What is
Upper P left parenthesis 71 less than x overbar less than 77.8
right parenthesisP 71<x<77.8?
A simple random sample of size nequals=8181 is obtained from a population with mu equals 73μ=73...
A simple random sample of size
nequals=8181
is obtained from a population with
mu equals 73μ=73
and
sigma equals 18σ=18.
(a) Describe the sampling distribution of
x overbarx.
(b) What is
Upper P left parenthesis x overbar greater than 75.9 right
parenthesisP x>75.9?
(c) What is
Upper P left parenthesis x overbar less than or equals 68.8
right parenthesisP x≤68.8?
(d) What is
Upper P left parenthesis 71 less than x overbar less than 77.8
right parenthesisP 71<x<77.8?
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).
Suppose a simple random sample of size nequals200 is obtained from a population whose size is...
Suppose a simple random sample of size nequals200 is obtained
from a population whose size is Upper N equals 15 comma 000 and
whose population proportion with a specified characteristic is p
equals 0.6 . (a) Describe the sampling distribution of
ModifyingAbove p with caret. Choose the phrase that best describes
the shape of the sampling distribution below. A. Approximately
normal because n less than or equals 0.05 Upper N and np left
parenthesis 1 minus p right parenthesis less...
Suppose a simple random sample of size n=75 is obtained from a population whose size is...
Suppose a simple random sample of size n=75 is obtained from a
population whose size is N= 30,000 and whose population proportion
with a specified characteristic is p= 0.4 .
A) Determine the standard deviation of the sampling distribution
of p hat (Round to 6 decimals)
B) What is the probability of obtaining x=33 or more individuals
with the characteristic? That is, what is P(p ≥0.44)? (Round to
4 decimals)
Suppose a simple random sample of size n=1000 is obtained from a population whose size is...
Suppose a simple random sample of size n=1000 is obtained from a
population whose size is N=2,000,000 and whose population
proportion with a specified characteristic is p = 0.22
a. What is the probability of obtaining x=250 or more
individuals with the characteristic?
Suppose a simple random sample of size nequals=7575 is obtained from a population whose size is...
Suppose a simple random sample of size nequals=7575 is obtained
from a population whose size is Upper N equals 30 comma 000N=30,000
and whose population proportion with a specified characteristic is
p equals 0.4 .p=0.4. Complete parts (a) through (c) below. (a)
Describe the sampling distribution of ModifyingAbove p with caretp.
Choose the phrase that best describes the shape of the sampling
distribution below. A. Not normal because n less than or equals
0.05 Upper Nn≤0.05N and np left parenthesis...
Suppose a simple random sample of size n=75 is obtained from a population whose size is...
Suppose a simple random sample of size n=75 is obtained from a
population whose size is N=15,000 and whose population proportion
with a specified characteristic is p=0.8.
a) Determine the mean of the sampling distribution of p with
caret.
Determine the standard deviation of the sampling distribution of
p with caret.
b) What is the probability of obtaining x=66 or more individuals
with the characteristic? That is, what is P(p with caret greater
than or equals 0.88)?
What is the...
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