Question

A random variable has a mean of 16 and standard deviation of 4. Determine (a) the...

A random variable has a mean of 16 and standard deviation of 4. Determine

(a) the mean and stan

dard deviation of the sample m

ean if the sample size is 100?

(b) the mean and standard deviation of

the sample mean if the sample size is 10,000?

Math   Statistics-And-Probability   
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Answer #1

Given that,

Mean = = 16

Standard deviation = = 4

(a) The mean and standard deviation of the sample mean if the sample size is 100 is

Sample size = n = 100

The mean of the sample mean x= 16

The standard deviation of the sample mean x=

(b) The mean and standard deviation of the sample mean if the sample size is 10,000 is

Sample size = n = 10000

The mean of the sample mean x= 16

The standard deviation of the sample mean x=

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