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{Exercise 9.13 (Algorithmic)}
Consider the following hypothesis test:
H
0
: μ ≤ 50
H
a
: μ > 50
A sample of 60 is used and the population standard deviation is 6. Use the critical value approach to
state your conclusion for each of the following sample results. Use α = .05.
a.
With x = 52.5, what is the value of the test statistic (to 2 decimals)?
Can it be concluded that the population mean is greater than 50?
b.
With x = 51, what is the value of the test statistic (to 2 decimals)?
Can it be concluded that the population mean is greater than 50?
c.
With x = 51.8, what is the value of the test statistic (to 2 decimals)?
Can it be concluded that the population mean is greater than 50?
Icon Key
- Select your answ er -
- Select your answ er -
- Select your answ er -
3.23
Yes
1.29
No
2.32
Yes

{Exercise 3.37 (Algorithmic)}
Consider a sample with a mean of 30 and a standard deviation of 6. Use Chebyshev's theorem to
determine the percentage of the data within each of the following ranges (to the nearest whole
number).
a.
20 to 40, at least
%
b.
5 to 55, at least
%
21 to 39, at least
%
d.
16 to 44, at least
%
e.
14 to 46, at least
%
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{Exercise 3.37 (Algorithmic)}
Consider a sample with a mean of 30 and a standard deviation of 6. Use Chebyshev's theorem to
determine the percentage of the data within each of the following ranges (to the nearest whole
number).
a.
20 to 40, at least
%
b.
5 to 55, at least
%
c.
21 to 39, at least
%
64
94
56

d.
16 to 44, at least
%
e.
14 to 46, at least
%
Icon Key
{Exercise 7.23 (Algorithmic)}
Business Week
conducted a survey of graduates from 30 top MBA programs (
Business Week
,
September 22, 2003). The survey found that the average annual salary for male and female
graduates 10 years after graduation was $168,000 and $117,000, respectively. Assume the
population standard deviation for the male graduates is $35,000, and for the female graduates it is
$30,000.
When calculating values for z, round to two decimal places.
a.
What is the probability that a simple random sample of 40 male graduates will provide a
sample mean within $10,000 of the population mean, $168,000 (to 4 decimals)?
b.
What is the probability that a simple random sample of 40 female graduates will provide a
sample mean within $10,000 of the population mean, $117,000 (to 4 decimals)?
In which of the preceding two cases, part (a) or part (b), do we have a higher probability of
obtaining a sample estimate within $10,000 of the population mean?
d.
What is the probability that a simple random sample of 100 male graduates will provide a
sample mean more than $4,000 below the population mean (to 4 decimals)?
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{Exercise 7.23 (Algorithmic)}
Business Week
conducted a survey of graduates from 30 top MBA programs (
Business Week
,
September 22, 2003). The survey found that the average annual salary for male and female graduates
82
86
- Select your answer -

10 years after graduation was $168,000 and $117,000, respectively. Assume the population standard
deviation for the male graduates is $35,000, and for the female graduates it is $30,000.

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- RudileeGabel
- Statistics, Decimals, Standard Deviation