Allied Amercian MAT130 final exam

PROJECT

Directions: This assignment is a course-long project whereby you will work on
the project in each module. You will
turn in your completed project at the end of Module 8.

1. Provide an appropriate
response.
A teacher was
interested in knowing how much tax people pay in the United States. She selected a simple random sample of her
friends and asked them about their taxes.
Is this sample likely to be representative of all adults in the United
States?

2. Form a conclusion about
statistical significance. Do not make
any formal calculations. Either use the
results provided or make subjective judgments about the results.
A manufacturer of
laptop computers claims that only 1% of their computers are defective. In a sample of 600 computers, it was found
that 3% were defective. If the
proportion of defectives were really only 1%, there would be less than 1 chance
in 1000 of getting such a large proportion of defective laptops in the
sample. Is there statistically
significant evidence against the manufacturer’s claim? Why or why not?

3. Use critical thinking
to address the key issue.
A researcher
published this survey result: “74% of people would be willing to spend 10
percent more for energy from a non-polluting source”. The survey question was announced on a
national radio show and 1,200 listeners responded by calling in. What is wrong with this survey?

4. Provide an appropriate
response.
An advertisement
for a heating pad says that is can reduce back pain by 200%. What is wrong with this statement?

5. Provide an appropriate
response.
Helene claimed
that the expected value when rolling a fair die was 3.5. Steve said that wasn’t possible. He said that the expected value was the most
likely value in a single roll of the die, and since it wasn’t possible for a
die to turn up with a value of 3.5, the expected value couldn’t possibly be
3.5. Who is right? Explain.

6. Provide an appropriate
response.
Do probability
distributions measure what did happen or what will probably happen? How do we use probability distributions to
make decisions?

7. Provide an appropriate
response.
A poll of 1700
randomly selected students in grades 6 through 8 was conducted and found that
53% enjoy playing sports. Is the 53%
result a statistic or a parameter?
Explain.

8. Provide an appropriate
response.
Define
P-values. Explain the two methods of
interpreting P-values.