When drawing all possible simple random samples of a given size n from a populat

Question

When drawing all possible simple random samples of a given size n from a population, many different values of a sample statistic might occur. A listing of all these possible values, along with the associated probabilities of their occurrence, is called the statistic s a finite population correction factor b. probability density function c. sampling distribution d. standard normal deviate e. standard error of the sample mean 31 Given a sampling distribution of the sample mean x that is normally distributed and has a mean of 30 and a standard deviation of 8. a sample mean of 40 corresponds to:

Explanation / Answer

28) sample size (n) = 36

mean (Xbar) = 120

Standard deviation (sigma) = 39

Then the distribution of sample mean is also Normal with mean is Xbar and standard error is sigma / sqrt(n).

Mean = 120

SE = 39 / sqrt(36) = 6.5

The sampling distribution of sample mean is Normal with mean is 120 and SE is 6.5.

Option b) is correct.

29) For the sampling distribution of sample mean the sample size is >=30.

30) Sampling distribution.

31) Here we have given that,

Xbar = 30

sd = 8

Mu = 40

Z= (Xbar - mu) / sd = =(30-40) / 8 = -1.25

Option a) is correct.

32) standard deviationof the sampling distribution of the sample mean is,

sd = sigma / sqrt(n)

sigma = sqrt(sigma2) = sqrt(36)= 6

sd = 6/sqrt(9) = 2

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