In: Statistics and Probability
A) A population distribution has a normal distribution with
μ=295 and σ=99. You intend to draw a random sample of size n=121.
Determine the mean and standard deviation of the sampling
distribution of ¯x. Round solutions to four decimal places, if
necessary.
What is the mean of the sampling distribution of ¯x?
μ¯x=
What is the standard deviation of the sampling distribution of of
x¯?
σ¯x=
B)
A population of values has a normal distribution with μ=211.1
and σ=13.2. You intend to draw a random sample of size n=83.
Determine the mean and standard deviation of the sampling
distribution of x¯. Round solutions to four decimal places, if
necessary.
What is the mean of the sampling distribution of ¯x?
μx¯=
What is the standard deviation of the sampling distribution of
¯x?
σ¯x=
C) Suppose the standard deviation of the weights of all Florida
manatees is 26 pounds. Let x¯ be the mean weight for a sample of a
certain number of Florida manatees. What sample size will give the
standard deviation of x¯ equal to 9 pounds?
Round the solution up to the nearest whole number, if
necessary.
n=