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

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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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