Let X be the mean of a random sample of size n from a N(μ,9)
distribution.
a. Find n so that X −1< μ < X +1 is a confidence interval
estimate of μ with a confidence level of at least 90%.
b.Find n so that X−e < μ < X+e is a confidence interval
estimate of μ withaconfidence levelofatleast (1−α)⋅100%.
5. A random sample of size n = 36 is obtain from a population
with µ= 60 and standard deviation 12 (a). Describe the sampling
distribution . (b). What is P(76.5 << 85.5 )?
A random sample of size n = 36 is obtain from a population with
µ= 80, and standard deviation =18.
(a). Describe the sampling distribution . (b). What is P(77
<< 85 )?
A random sample of size n = 40 is selected from a population
that has a proportion of successes p = 0.8.
1) Determine the mean proportion of the sampling distribution of
the sample proportion.
2) Determine the standard deviation of the sampling distribution
of the sample proportion, to 3 decimal places.
3) True or False? The sampling distribution of the sample
proportion is approximately normal.
A random sample of size 40 is selected from a population with
the mean of 482 and standard deviation of 18. This sample of 40 has
a mean, which belongs to a sampling distribution.
a) Determine the shape of the sampling distribution b) Find the
mean and standard error of the sampling distribution
c) Find the probability that the sample mean will be between 475
and 495?
d) Find the probability that the sample mean will have a value
less...
A simple random sample of size n equals 40 is drawn from a
population. The sample mean is found to be x overbar equals 121.3
and the sample standard deviation is found to be s equals 12.9.
Construct a 99% confidence interval for the population mean.
Upper:
Lower:
A simple random sample of size n equals 40 is drawn from a
population. The sample mean is found to be x overbar equals 121.9
and the sample standard deviation is found to be s equals 12.9.
Construct a 99% confidence interval for the population mean.
Lower bound:
Upper bound:
A simple random sample of size n=40 is drawn from a population.
The sample mean is found to be x=121.7 and the sample standard
deviation is found to be s=13.3.
Construct a 99% confidence interval for the population
mean.
The lower bound is
(Round to two decimal places as needed.)
A simple random sample of size n= 40 is drawn from a population.
The sample mean is found to be x= 120.6 and the sample standard
deviation is found to be
s 13.3 Construct a 99% confidence interval for the population
mean.
A simple random sample of size n=36 is obtained from a
population that is skewed right with μ=74 and σ=24.
(a) Describe the sampling distribution of overbarx.
(b) What is P ( x overbar > 80.6 )?
(c) What is P (x overbar ≤64.6)?
(d) What is P ( 70<x<80?)
(a) Choose the correct description of the shape of the sampling
distribution of overbarx.
A.The distribution is skewed left.
B.The distribution is uniform.
C.The distribution is approximately normal.
D.The distribution...