A population has =80 and a standard deviation of 5.2 what are the mean and standard deviation of the sampling distribution if a sample of 100 were taken?
Answers
the mean and standart deviation of the sampling distribution
The mean of the sampling distribution is 80 and the standard deviation of the sampling distribution is 0.52.
The mean and standard deviation of the sampling distribution can be calculated using the following formulas:
Mean of the Sampling Distribution = Mean of the Population = μ = 80
Standard Deviation of the Sampling Distribution = Standard Deviation of the Population / √(Sample Size) = σ / √n
where σ is the standard deviation of the population and n is the sample size.
Substituting the values given in the question, we get:
Mean of the Sampling Distribution = 80
Standard Deviation of the Sampling Distribution = 5.2 / √100 = 0.52
Therefore, the mean of the sampling distribution is 80 and the standard deviation of the sampling distribution is 0.52.
for such more question on standard deviation
https://brainly.in/question/35974439
#SPJ2