Statistics 104 – Homework 9 Due Tuesday, December 8, 2009

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Statistics 104 – Homework 9
Due Tuesday, December 8, 2009
Homework is due on the due date at the end of the lecture.
Reading:
November 19 – December 3
December 8 – December 10
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.
1
3. Problem 2 of homework 2 this semester looked at weight gain, in pounds, for a
sample of 35 hogs fed their normal feed for a period of 30 days. Data on the
weight gain of the 35 hogs is summarized in the JMP output below.
Weight Gain (pounds)
Five Number Summary
100.0% maximum
75.0%
quartile
50.0%
median
25.0%
quartile
0.0%
minimum
Summary Statistics
66 Mean
52.14
56 Std Dev
6.696
52 N
35
48
36
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 mean weight gain for all hogs 1.6 lbs a day, 48 lbs over 30 days, or is it
something greater? In order to answer this question you must go through the five
steps of a hypothesis test.
2
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