Module 5 Case questions Assignment 2015

| August 30, 2017

uestion
Answer the following problems showing your work and explaining (or analyzing) your results.
1. Explain Type I and Type II errors. Use an example if needed.
2. Explain a one-tailed and two-tailed test. Use an example if needed.
3. Define the following terms in your own words.
Null hypothesis
P-value
Critical value
Statistically significant
4. A homeowner is getting carpet installed. The installer is charging her
for 250 square feet. She thinks this is more than the actual space being
carpeted. She asks a second installer to measure the space to confirm
her doubt. Write the null hypothesis Ho and the alternative hypothesis
Ha.
5. Drug A is the usual treatment for depression in graduate students.
Pfizer has a new drug, Drug B, that it thinks may be more effective. You
have been hired to design the test program. As part of your project
briefing, you decide to explain the logic of statistical testing to the
people who are going to be working for you.
Write the research hypothesis and the null hypothesis.
Then construct a table like the one below, displaying
the outcomes that would constitute Type I and Type II
error.
Write a paragraph explaining which error would be
more severe, and why.

6. Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of
medicine per bottle. However since the filling machine is not always
precise, there can be variation from bottle to bottle. The amounts in the
bottles are normally distributed with ? = 0.3 ounces. A quality
assurance inspector measures 10 bottles and finds the following (in
ounces):
5.9
5

6.1
0

5.98

6.0
1

6.25 5.85 5.91 6.05

5.8
8

5.91

Are the results enough evidence to conclude that the bottles are not
filled adequately at the labeled amount of 6 ounces per bottle?
a.
b.
c.
d.
7.
8.

State the hypothesis you will test.
Calculate the test statistic.
Find the P-value.
What is the conclusion?
Calculate a Z score when X = 20, ? = 17, and ? = 3.4.
Using a standard normal probabilities table, interpret the results for the
Z score in Problem 7.

9. Your babysitter claims that she is underpaid given the current market.
Her hourly wage is $12 per hour. You do some research and discover
that the average wage in your area is $14 per hour with a standard
deviation of 1.9. Calculate the Z score and use the table to find the
standard normal probability. Based on your findings, should you give
her a raise? Explain your reasoning as to why or why not.
10. Tutor O-rama claims that their services will raise student SAT math
scores at least 50 points. The average score on the math portion of the
SAT is ? = 350 and ? = 35. The 100 students who completed the
tutoring program had an average score of 385 points. Is the average
score of 385 points significant at the 5% level? Is it significant at the 1%
level? Explain why or why not.

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