A random sample of size 32 is to be selected from a population that has a...
A random sample of size 32 is to be selected from a population that has a mean μ = 48 and a standard deviation σ of 13.
(a) This sample of 32 has a mean value of x, which belongs to a sampling distribution. Find 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 51? (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.)
You may need to use the appropriate table in Appendix B to answer this question.
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