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Instructions: 1. Please write you name on every page. 2. You are expected to uphold the honor code of Purdue University. It is your.
Typology: Lecture notes
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Instructor (circle one): Ayu Findsen Sellke Troisi
Class Time: 9:30 AM 11:30 AM 12:30 PM
1:30 PM 2:30 PM 3:30 PM ONLINE
Instructions:
Your exam is not valid without your signature below.
STUDENT: I attest here that I have followed the instructions above honestly while taking this test and that work submitted is my own, produced without assistance from books, other people, notes other than my own crib sheets, or other aids.
Signature of Student: __________________________________________
Points Earned
Problem 1 (30 points)
Problem 2 (15 points)
Problem 3 (20 points)
Problem 4 (25 points)
Problem 5 (10 points)
Problem 6 (10 points)
2. (15 points) An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy levels of lead. The lead levels of 49
crows in the region were measured and recorded. The mean lead level of the 49 crows in the sample was 4.90 ppm, and the population standard deviation is 0.7 ppm. Carry out a
two-sided test of significance that the true mean is 5.2 ppm, with a significance level 0.01. Make sure you follow the four-step procedure.
Sample Size Sample Mean Sample Standard Deviation
Computer Science Students
Statistics Students
Difference (CS - STAT) 20 118 75 a) (5 points) Should you use the two sample T or the matched pairs T procedure to analyze the data? Explain your answer. (Stating that you do not have the data to do one of the methods will be counted wrong.)
b) (3 points) Degree of Freedom: If using the matched pairs T, DF = _____________ (fill-in the blank) If using two sample T procedure, DF = 37.38 from software approximation;
c) (12 points) Construct a 95% confidence interval. Be sure to interpret your interval.
(e) (10 points) Carry out a significance test to compare the mean birth weights for the three
countries at a significance level 0.05. Please follow the four step procedure and make a conclusion in context.
5. (10 points) A researcher wants to conduct a study to test whether listening to soothing music for 20 minutes helps to reduce diastolic blood pressure in patients with high blood
pressure, compared to simply sitting quietly in a noise-free environment for 20 minutes. One hundred patients with high blood pressure at a large medical clinic are available to participate
in this study. The null hypothesis for this study is that there is no difference in the mean reduction of diastolic blood pressure for the two treatments and the alternative hypothesis is
that the mean reduction in diastolic blood pressure is greater for the music treatment. If the null hypothesis is rejected, the clinic will offer this music therapy as a free service to their
patients with high blood pressure. Describe Type I and Type II errors and the consequences of each in the context of this study, and discuss which one you think is more serious.
a) (2 pts) Type I Error Description :
b) (2 pts) Consequence of Type I Error in the context of this study:
c) (2 pts) Type II Error Description:
d) (2 pts) Consequence of Type II Error in the context of this study:
e) (2 pts) Discussion on which type of error is more serious.