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Unformatted text preview: MAT 122 Final Exam May 9, 2005 Version 1 Page 1 There are 7 questions. Do all parts of all questions. Show the work you do to
obtain an answer. A calculator and your textbook are allowed. No other books or
notes are allowed. Make sure you have seen and understand the rules in the
syllabus about what sort of notes you are allowed to put in your book. Do not share calculators. Name: Put your name on your blue book. Put all the work you wish to have graded in
your blue book. Turn in both your exam and your blue book together. When you turn in your exam make sure your name gets checked off the list as
having turned in the exam. Whenever you are doing a hypothesis test do the full 8 step method as outlined
in class. 1. (15 points) A researcher wants to test whether in a certain variety of pea
plants flower color (white, pink) is related to pod color (green, yellow). A simple
random sample of 200 pea plants of that variety yields the results in the following
table. At the 0.01 level of significance test the claim that flower color is independent of pod color. Flower Color
White Pink
Green 60 50
Pod Color
Yellow 30 60 2. (13 points) An astronomer receives the following sequence of 0's and 1‘s from
outer space. Use the runs test for randomness with a significance level of 0.05 to
test the claim that the sequence is random. 001100110011001100110011 Go to next page MAT 122 Final Exam May 9, 2005 Version 1 Page 2 3. (12 points) For the following set of paired x,y data find the equation of the
regression line. x 2 . 4 6 8 y 3 4 7 9 r 4. (15 points) Three different groups of mice are fed different diets. The following
table gives the weights of independent simple random samples of mice from
each group. Use ANOVA with a significance level of 0.05 to test the claim that all
three groups have the same mean weight. Group A B C
3 2 3
Weights 5 3 4
7 4 5 5 5. (15 points) To monitor a computer chip making machine, each day for 10 days
a sample of 200 of that day's production of chips is taken and the number of
defects is counted. The following table gives the results. (a) Construct a p chart for the data. Be sure to explicitly give the values for
the center line, upper control limit, and lower control limit and include them on the Chan.
(b) is the process within statistical control? Why or why not? Day 1 2 3 4 5 6 7 8 9 10 Number of
Defects 3 4 5 6 7 8 9 10 11 12 6. (15 points) A simple random sample of 800 people from town A has 760
people who own a cell phone. An independent simple random sample of 600
people from town B has 510 people who own a cell phone. Construct a 99%
confidence interval for the difference between the two proportions of cell phone ownership. 7. (15 points) A simple random sample of 27 soda cans was obtained. The mean
amount of soda in the cans was 11.2 ounces with a sample standard deviation of
1.5 ounces. At the 0.10 level of significance test the claim that the mean amount of soda in a can is less than 12 ounces. Assume the amounts of soda are normally distributed. ...
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 Spring '11
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