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The annual salary for a Chief Executive in May 2022 ollowed an approximately normal distribution with an average of $242,765 and a standard deviation of $43,754. Suppose we intend to take d random sample of 11 Chief Executives and find its sample mean: x. a) For each of the following, select whether it is correct or incorrect. i) The sampling distribution for x will not necessarily be normally distributed because the standard deviation is so large relative to the mean. Incorrect ii) The sampling distribution of x will be normally distributed because the sample size is large enough. Incorrect iii) The sampling distribution of x will be approximately normal because the population of Chief Executives is large. Incorrect iv) The sampling distribution of x will be approximately normal because the sample is selected from a population that is approximately normal. Correct b) What is the probability that our sample average is less than $222,352? (3 decimal places) .033 X

The annual salary for a Chief Executive in May 2022 ollowed an approximately normal distribution with an average of $242,765 and a standard deviation of $43,754. Suppose we intend to take d random sample of 11 Chief Executives and find its sample mean: x. a) For each of the following, select whether it is correct or incorrect. i) The sampling distribution for x will not necessarily be normally distributed because the standard deviation is so large relative to the mean. Incorrect ii) The sampling distribution of x will be normally distributed because the sample size is large enough. Incorrect iii) The sampling distribution of x will be approximately normal because the population of Chief Executives is large. Incorrect iv) The sampling distribution of x will be approximately normal because the sample is selected from a population that is approximately normal. Correct b) What is the probability that our sample average is less than $222,352? (3 decimal places) .033 X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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The annual salary for a Chief Executive in May 2022 followed an approximately normal distribution with an average of $242,765 and a standard deviation of $43,754. Suppose we intend to take a random sample of 11 Chief Executives and find its sample mean: x. a) For each of the following, select whether it is correct or incorrect. i) The sampling distribution for x will not necessarily be normally distributed because the standard deviation is so large relative to the mean. Incorrect ii) The sampling distribution of x will be normally distributed because the sample size is large enough. Incorrect iii) The sampling distribution of x will be approximately normal because the population of Chief Executives is large. Incorrect iv) The sampling distribution of x will be approximately normal because the sample is selected from a population that is approximately normal. Correct b) What is the probability that our sample average is less than $222,352? (3 decimal places) .033 X
Transcribed Image Text:The annual salary for a Chief Executive in May 2022 followed an approximately normal distribution with an average of $242,765 and a standard deviation of $43,754. Suppose we intend to take a random sample of 11 Chief Executives and find its sample mean: x. a) For each of the following, select whether it is correct or incorrect. i) The sampling distribution for x will not necessarily be normally distributed because the standard deviation is so large relative to the mean. Incorrect ii) The sampling distribution of x will be normally distributed because the sample size is large enough. Incorrect iii) The sampling distribution of x will be approximately normal because the population of Chief Executives is large. Incorrect iv) The sampling distribution of x will be approximately normal because the sample is selected from a population that is approximately normal. Correct b) What is the probability that our sample average is less than $222,352? (3 decimal places) .033 X
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