c. For a single randomly selected graduate, find the probability that her salary is between $159,647 and $167,698. 0.0716 d. For a simple random sample of 12 graduates, find the probability that the average salary is between $159,647 and $167,698. e. For part d), is the assumption of normal necessary? O YesO No

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i need c d and e please

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 $172,000. Assume the standard
deviation is $44,000. Suppose you take a simple random sample of 12 graduates. Round all answers to four
decimal places if necessary.
a. What is the distribution of X? X - N( 172000
44000
b. What is the distribution of ? T - N( 172000
c. For a single randomly selected graduate, find the probability that her salary is between $159,647 and
$167,698. 0.0716
d. For a simple random sample of 12 graduates, find the probability that the average salary is between
12701.7059
$159,647 and $167,698.
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 $172,000. Assume the standard deviation is $44,000. Suppose you take a simple random sample of 12 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 172000 44000 b. What is the distribution of ? T - N( 172000 c. For a single randomly selected graduate, find the probability that her salary is between $159,647 and $167,698. 0.0716 d. For a simple random sample of 12 graduates, find the probability that the average salary is between 12701.7059 $159,647 and $167,698. e. For part d), is the assumption of normal necessary? O YesO No
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