Question

In: Statistics and Probability

A) A population distribution has a normal distribution with μ=295 and σ=99. You intend to draw...

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=

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