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 $158,000. Assume the standard deviation is $41,000. Suppose you take a simple random sample of 39 graduates. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected graduate, find the probability that her salary is between $154,052 and $157,735.

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 $158,000. Assume the standard deviation is $41,000. Suppose you take a simple random sample of 39 graduates. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected graduate, find the probability that her salary is between $154,052 and $157,735.

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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Question

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For a single randomly selected graduate, find the probability that her salary is between $154,052 and $157,735.
For a simple random sample of 39 graduates, find the probability that the average salary is between $154,052 and $157,735.
For part d), is the assumption of normal necessary? YesNo

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