Section 7.2, 7.3 Hand-in HW
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Industrial Engineering
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Dec 6, 2023
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Chapter 7 (Sections 7.2 & 7.3) Hand-in HW
Show all work on this paper.
1.
Thompson and Thompson is a steel bolts manufacturing company.
Their current steel bolts have a mean
diameter of
128
millimeters, and a standard deviation of
8
. If a random sample of
31
steel bolts is
selected, what is the probability that the sample mean would differ from the population mean by more
than
0.9
millimeters?
Round your answer to four decimal places.
2.
Thompson and Thompson is a steel bolts manufacturing company.
Their current steel bolts have a mean
diameter of
141
millimeters, and a standard deviation of
7
. If a random sample of
39
steel bolts is
selected, what is the probability that the sample mean would be greater than
141.4
millimeters?
Round
your answer to four decimal places.
3.
The mean per capita income is
24,787
dollars per annum with a
variance
of
169,744
.What is the
probability that the sample mean would differ from the true mean by less than
42
dollars if a sample of
412
persons is randomly selected?
Round your answer to four decimal places.
4.
The opera theater manager assumes that
26%
of the opera tickets for tonight's show have been sold. If
the manager is correct, what is the probability that the proportion of tickets sold in a sample of
811
tickets would differ from the population proportion by less than
4%
?
Round your answer to four
decimal places.
5.
Suppose
54%
of the population has Crohn's disease.
If a random sample of size
580
is selected, what is
the probability that the proportion of the sampled persons with Crohn's disease will be less than
53%
?
Round your answer to four decimal places.
6.
Suppose a large shipment of microwave ovens contained
10%
defectives.
If a sample of size
236
is
selected, what is the probability that the sample proportion will differ from the population proportion by
more than
3%
?
Round your answer to four decimal places.
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