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 $38,000. Suppose you take a simple random sample of 14 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N(C 15800(v, 38000 v) o b. What is the distribution of ¤? ¤ - N( 15800(, 10155.9271 v) o c. For a single randomly selected graduate, find the probability that her salary is between $145,066 and $154,144. 0.0933 d. For a simple random sample of 14 graduates, find the probability that the average salary is between $145,066 and $154,144. 0.2537 e. For part d), is the assumption of normal necessary? Yes No o

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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 $158,000. Assume the
standard deviation is $38,000. Suppose you take a
simple random sample of 14 graduates. Round all
answers to four decimal places if necessary.
a. What is the distribution of X? X - N(
15800(v, 38000
b. What is the distribution of x? a - N(
15800(
10155.9271 v)
o
c. For a single randomly selected graduate, find
the probability that her salary is between
$145,066 and $154,144. 0.0933
d. For a simple random sample of 14 graduates,
find the probability that the average salary is
between $145,066 and $154,144.
0.2537
e. For part d), is the assumption of normal
necessary? O YesO No o
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 $158,000. Assume the standard deviation is $38,000. Suppose you take a simple random sample of 14 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 15800(v, 38000 b. What is the distribution of x? a - N( 15800( 10155.9271 v) o c. For a single randomly selected graduate, find the probability that her salary is between $145,066 and $154,144. 0.0933 d. For a simple random sample of 14 graduates, find the probability that the average salary is between $145,066 and $154,144. 0.2537 e. For part d), is the assumption of normal necessary? O YesO No o
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