A random sample of size 33 is to be selected from a population that has a mean μ = 53 and a standard deviation σ of 10. (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 44 and 52? (Give your answer correct to four decimal places.) (e) What is the probability that the sample mean will have a value greater than 55? (Give your answer correct to four decimal places.) (f) What is the probability that the sample mean will be within 5 units of the mean? (Give your answer correct to four decimal places.)
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Given that the mean of the population (μ) is 53, the mean of the sampling distribution will also be 53. Show more…
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