Statistics 104 – Homework 11
Due Tuesday, April 24, 2012
Homework is due on the due date at the end of the lecture.
Reading:
April 12 – April 19
April 24 – April 26
Sections 8.3 and 9.3
Sections 10.2 and 10.4
Assignment:
1. Complete the following problems from the text: 8.27, 8.28, 8.29, 8.30, 9.29, 9.31 and
9.32.
2. The body temperatures, in degrees Fahrenheit, for a random sample of 25 women are
summarized in the JMP output below.
Body Temperature (oF)
Five Number Summary
100.0%
maximum
75.0%
quartile
50.0%
median
25.0%
quartile
0.0%
minimum
Sample Statistics
99.6 Mean
98.46
98.8 Std Dev
0.5485
98.4 N
25
98.2
97.2
a) Describe the shape of the histogram for the sample of female body temperatures.
b) Report the values of the sample mean and the sample standard deviation. Be sure
to include appropriate units.
c) Construct a 95% confidence interval for the population mean female body
temperature. Give an interpretation for this interval.
d) According to the interval could the population mean body temperature for females
be 98.6 oF? Explain briefly.
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3. Problem 2 of homework 2 this semester looked at finished weight, in pounds, for a
random sample of 40 gilts. Data on the finished weight of the 40 gilts is summarized
in the JMP output below.
Distributions
Gilt Weight (lbs)
Five Number Summary
100.0% maximum
304
75.0%
quartile
264
50.0%
median
246.5
25.0%
quartile
227.5
0.0%
minimum
181
Sample Statistics
Mean
247.825
Std Dev
26.35642
N
40
a) Describe the shape of the histogram of gilt weight.
b) Report the values of the sample mean and the sample standard deviation. Be sure
to include appropriate units.
c) What is the value of the standard error of the sample mean?
d) Is the population mean finished weight for all gilts 225 pounds or is it something
greater? In order to answer this question you must go through the steps of a
hypothesis test.
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