Statistics 104 – Homework 10
Due Thursday, December 9, 2010
Homework is due on the due date at the end of the lecture.
Reading:
November 18 – December 2
December 7 – December 9
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 of female body temperature.
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 body temperature.
Give an interpretation for this interval.
d) According to the interval could the mean body temperature for females be 98.6
o
F? Explain briefly.
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3. Problem 2 of homework 2 this semester looked at carcass weight, in pounds, for a
random sample of 36 hogs fed a diet containing 30% distillers’ grains. Data on
the carcass weight of the 36 hogs is summarized in the JMP output below.
Carcass Weight (pounds)
Summary Statistics
Five Number Summary
100.0% maximum
230 Mean
197.6
75.0%
quartile
208 Std Dev
17.14
50.0%
median
199.5 N
36
25.0%
quartile
188
0.0%
minimum
151
a) Describe the shape of the histogram of weight gain.
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?
d) Is the population mean carcass weight for all hogs fed 30% distillers’ grains 190
pounds or is it something greater? In order to answer this question you must go
through the five steps of a hypothesis test.
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