A random sample of size 39 is to be chosen from population that has a mean ? = 48 and standard deviation ? of 17.
(a) This sample of 39 has mean value of x, which belongs to a sampling distribution. Determine the shape of this sampling distribution.
skewed right
approximately normal
skewed left
chi-square
(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.)
(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
(d) What is the probability that this sample mean will be between 43 and 53? (Give your answer correct to four decimal places.)
(e) What is the probability that the sample mean will have a value greater than 49? (Give your answer correct to four decimal places.)
(f) What is the probability that the sample mean will be within 6 units of the mean? (Give your answer correct to four decimal places.)