Teacher salaries. Suppose that teachers at a university in the USA - with the rank of professor in public institutions offering two-year academic programs - earn an average of $71,802 per year, with a standard deviation of $4,000. In an attempt to verify this salary level, a random sample of 60 professors was selected from a database of academic staff from all public institutions offering two-year programs in the USA. a. Describe the sampling distribution of the sample mean X. b. Within what limits would you expect the sample mean to lie, with a probability of 0.95? c. Calculate the probability that the sample mean x is greater than $73,000. d. If a random sample actually produced a sample mean of $73,000, would you consider this to be uncommon? What conclusion would you draw?
Teacher salaries. Suppose that teachers at a university in the USA - with the rank of professor in public institutions offering two-year academic programs - earn an average of $71,802 per year, with a standard deviation of $4,000. In an attempt to verify this salary level, a random sample of 60 professors was selected from a database of academic staff from all public institutions offering two-year programs in the USA. a. Describe the sampling distribution of the sample mean X. b. Within what limits would you expect the sample mean to lie, with a probability of 0.95? c. Calculate the probability that the sample mean x is greater than $73,000. d. If a random sample actually produced a sample mean of $73,000, would you consider this to be uncommon? What conclusion would you draw?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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- Teacher salaries. Suppose that teachers at a university in the USA - with the rank of professor in public institutions offering two-year academic programs - earn an average of $71,802 per year, with a standard deviation of $4,000. In an attempt to verify this salary level, a random sample of 60 professors was selected from a database of academic staff from all public institutions offering two-year programs in the USA.
a. Describe the sampling distribution of the sample
b. Within what limits would you expect the sample mean to lie, with a
c. Calculate the probability that the sample mean x is greater than $73,000.
d. If a random sample actually produced a sample mean of $73,000, would you consider this to be uncommon? What conclusion would you draw?
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