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Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $176,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 35 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N( c. For a single randomly selected graduate, find the probability that her salary is between $172,940 and $178,260. d. For a simple random sample of 35 graduates, find the probability that the average salary is between $172,940 and $178,260. e. For part d), is the assumption of normal necessary? O YesO No

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $176,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 35 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N( c. For a single randomly selected graduate, find the probability that her salary is between $172,940 and $178,260. d. For a simple random sample of 35 graduates, find the probability that the average salary is between $172,940 and $178,260. e. For part d), is the assumption of normal necessary? O YesO No

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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Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $176,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 35 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N b. What is the distribution of I? I - N( c. For a single randomly selected graduate, find the probability that her salary is between $172,940 and $178,260. d. For a simple random sample of 35 graduates, find the probability that the average salary is between $172,940 and $178,260. e. For part d), is the assumption of normal necessary? O YesO No
Transcribed Image Text:Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $176,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 35 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N b. What is the distribution of I? I - N( c. For a single randomly selected graduate, find the probability that her salary is between $172,940 and $178,260. d. For a simple random sample of 35 graduates, find the probability that the average salary is between $172,940 and $178,260. e. For part d), is the assumption of normal necessary? O YesO No
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