Question

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 $146,000. Assume the
standard deviation is $38,000. Suppose you take a simple random
sample of 46 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 ¯x? ¯x ~ N( , )

C. For a single randomly selected graduate, find the probability that her salary is between $148,096 and $150,897.

D. For a simple random sample of 46 graduates, find the probability that the average salary is between $148,096 and $150,897.

E. For part d), is the assumption of normal necessary? Yes or No

Answer #1

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 $165,000. Assume the
standard deviation is $37,000. Suppose you take a simple random
sample of 16 graduates. Round all answers to four decimal places if
necessary.
What is the distribution of X ? X ~ N( , )
What is the distribution of ¯ x ? ¯ x ~ N(...

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 187000 dollars. Assume
the standard deviation is 38000 dollars. Suppose you take a simple
random sample of 81 graduates.
Find the probability that a single randomly selected policy has a
mean value between 180244.4 and 190800 dollars.
P(180244.4 < X < 190800) =
Find the probability that a random sample...

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 130000 dollars. Assume
the standard deviation is 31000 dollars. Suppose you take a simple
random sample of 61 graduates.
Find the probability that a single randomly selected salary has
a mean value between 122061.7 and 137144.5 dollars. P(122061.7 <
X < 137144.5) = (Enter your answers as numbers accurate to...

1. 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 162000 dollars.
Assume the standard deviation is 31000 dollars. Suppose you take a
simple random sample of 70 graduates.
Find the probability that a single randomly selected policy has a
mean value between 153848.5 and 170892.5 dollars.
P(153848.5 < X < 170892.5)
= (Enter your answers as numbers accurate to...

Please answer Both
QUESTION 2: The lengths of pregnancies in a small rural village
are normally distributed with a mean of 267 days and a standard
deviation of 17 days. (round to one decimal) In what range would
you expect to find the middle 95% of most pregnancies? Between ___
AND ____ If you were to draw samples of size 49 from this
population, in what range would you expect to find the middle 95%
of most averages for the...

A fitness company is building a 20-story high-rise. Architects
building the high-rise know that women working for the company have
weights that are normally distributed with a mean of 143 lb and a
standard deviation of 29 lb, and men working for the company have
weights that are normally distributed with a mean of 173 lb and a
standard deviation or 35 lb. You need to design an elevator that
will safely carry 20 people. Assuming a worst case scenario...

Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is
about $44 and the estimated standard deviation is about $9.
(a) Consider a random sample of n = 120 customers, each
of whom has 10 minutes of unplanned shopping time in a supermarket.
From the central limit theorem, what can you say about the
probability distribution of x, the average amount...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 43
minutes and standard deviation 23 minutes. A researcher observed 11
students who entered the library to study. Round all answers to 4
decimal places where possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 46
minutes and standard deviation 19 minutes. A researcher observed 9
students who entered the library to study. Round all answers to 4
decimal places where possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

The average time to run the 5K fun run is 20 minutes and the
standard deviation is 2.3 minutes. 7 runners are randomly selected
to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution. What is the distribution
of X X ? X X ~ N(,) What is the distribution of ¯ x x¯ ? ¯ x x¯ ~
N(,) What is the distribution of ∑ x ∑x ? ∑...

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