MATH 10 Mr. Michael Leitner Chapters 8-11 Practice Test C NAME ...
MATH 10 Mr. Michael Leitner Chapters 8-11 Practice Test C NAME ...
MATH 10 Mr. Michael Leitner Chapters 8-11 Practice Test C NAME ...
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<strong>MATH</strong> <strong>10</strong> <strong>Mr</strong>. <strong>Michael</strong> <strong>Leitner</strong><br />
<strong>Chapters</strong> 8-<strong>11</strong> <strong>Practice</strong> <strong>Test</strong> C<br />
<strong>NAME</strong> SCORE<br />
Problems are <strong>10</strong> points each.<br />
Remember to show your work and calculator entries.<br />
1. Big O Cereals ran a test of their production line. A random sample of the<br />
contents of 46 boxes of cereal had a mean weight of 22.08 ounces with a<br />
standard deviation of 1.18 ounces. What is the 95% confidence interval<br />
for the actual mean weight of the contents of Big O Cereal boxes?<br />
2. What proportion of people sent a survey will return it if a $1 bill is<br />
included? Without a preliminary survey, how many people should be<br />
surveyed to be 90% confident the estimate will be within 4% of the true<br />
proportion?<br />
3. A survey of 781 restaurant patrons found that 132 preferred decaffeinated<br />
coffee to regular. What is the point estimate for the proportion of patrons<br />
who prefer decaffeinated coffee to regular coffee? What is the margin of<br />
error for this survey based on a 95% confidence interval?
4. Marine biologists studying a rare species of ocean floor worms have<br />
obtained six specimens with the following lengths (in mm):<br />
8.0 7.4 6.2 9.3 7.3 8.6 7.8<br />
What is the estimated mean length of these rare worms? Give a 95%<br />
confidence interval for the actual mean.<br />
5. The following table lists the age and annual repair costs for a sample of ten cars of the same model.<br />
Age 5 3 2 3 1 5 7 7 8 4<br />
Cost $296 $196 $87 $177 $91 $297 $475 $576 $391 $206<br />
a. What annual repair cost would you predict for a car of this model that is 6<br />
years old?<br />
b. Give a 90% confidence interval for your predicted value.<br />
6. Several years ago, a train derailment near Dunsmuir, California, dumped a<br />
carload of soil sterilizing chemicals into the Sacramento River. Prior to<br />
the spill, fish counts averaged 75 fish/hour passing a counting station. The<br />
train company claims that fish have returned to the river to the same level<br />
as before the spill. A sample of 50 counts yields an average of 70<br />
fish/hour with a standard deviation of 16 fish/hour. <strong>Test</strong> the train<br />
company's claim using a 0.05 level of significance.<br />
Conclusion:<br />
H0:<br />
H1:<br />
P-value:<br />
Reject H0?<br />
Math <strong>10</strong>, Chapter 8-<strong>11</strong> <strong>Practice</strong> <strong>Test</strong> B
7. A story is told of Carl Friedrich Gauss that during the war when flour was<br />
being rationed and everyone was supposed to be getting 200g loaves of<br />
bread, he measured his loaves and after weighing 50 loaves he found they<br />
had an average weight of 195g with a standard deviation of 15g. He<br />
concluded from this that the baker was using less than the required weight<br />
of flour and selling what he skimmed on the black market. To a 0.01 level<br />
of significance, was the baker using less than the required amount of<br />
flour?<br />
Conclusion:<br />
8. A psychologist wants to know if birth order is a factor in the intelligence<br />
of identical twins. Fifteen pairs of twins were given IQ tests with the<br />
results shown in the table below right. Using a 0.05 level of significance,<br />
is there a difference in intelligence based on birth order?<br />
H0:<br />
H1:<br />
P-value:<br />
Reject H0?<br />
H0:<br />
H1:<br />
P-value:<br />
Reject H0?<br />
# Older Younger<br />
1 121 <strong>11</strong>5<br />
2 <strong>10</strong>8 <strong>11</strong>7<br />
3 <strong>11</strong>8 <strong>10</strong>7<br />
4 138 <strong>11</strong>6<br />
5 128 <strong>11</strong>7<br />
Conclusion: 6 125 <strong>11</strong>9<br />
7 <strong>10</strong>6 121<br />
8 138 127<br />
9 <strong>10</strong>8 97<br />
<strong>10</strong> <strong>11</strong>8 <strong>11</strong>9<br />
<strong>11</strong> <strong>10</strong>5 99<br />
12 95 <strong>10</strong>5<br />
13 <strong>11</strong>4 <strong>11</strong>1<br />
14 122 <strong>11</strong>3<br />
15 127 <strong>10</strong>9<br />
Math <strong>10</strong>, Chapter 8-<strong>11</strong> <strong>Practice</strong> <strong>Test</strong> B
9. Sierra Ski School is testing two new methods for teaching downhill skiing<br />
and wants to know if there is a difference between the two methods. With<br />
method A, 40 students chosen at random were able to ski down Beginner's<br />
Hill after an average of 5.5 hours of lessons with a standard deviation of 1.2<br />
hours. Another 36 randomly selected students were taught with method B<br />
and were able to ski down Beginner's Hill after 6.0 hours of lessons, with a<br />
standard deviation of 1.5 hours. Is there a difference between the two<br />
methods? Use α = 0.05 level of significance to test.<br />
Conclusion:<br />
<strong>10</strong>. Does a student’s favorite subject depend on gender? The results of a<br />
survey are shown below. <strong>Test</strong> if a student's favorite subject depends on<br />
gender using α = 0.05 level of significance.<br />
H0:<br />
H1:<br />
P-value:<br />
Reject H0?<br />
Math and Social P-value:<br />
Phys. Science Science Business Humanities<br />
Men 48 44 55 28 Reject H0?<br />
Women 57 61 45 42<br />
Conclusion:<br />
H0:<br />
H1:<br />
Math <strong>10</strong>, Chapter 8-<strong>11</strong> <strong>Practice</strong> <strong>Test</strong> B