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Homework answers / question archive / STAT 200 OL1/US1 Sections Final Exam Fall 2016 This is an openbook exam
STAT 200
OL1/US1 Sections
Final Exam
Fall 2016
This is an openbook exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. It is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use unauthorized materials or work from others.
Answer all 20 questions. Make sure your answers are as complete as possible. Show all of your supporting work and reasoning. Answers that come straight from calculators, programs or software packages without any explanation will not be accepted. If you need to use technology (for example, Excel, online or handheld calculators, statistical packages) to aid in your calculation, you must cite the sources and explain how you get the results.
Record your answers and work on the separate answer sheet provided.
This exam has 100 total points; 5 points for each question.
You must include the Honor Pledge on the title page of your submitted final exam.
Exams submitted without the Honor Pledge will not be accepted.
then 
we 
have sufficient evidence to 
reject the null hypothesis 

at 0 
.05 

level of significanc 
e 
. 




3. Choose the best answer. Justify for full credit.
4. The frequency distribution below shows the distribution for IQ scores for a random sample of
1000 adults. (Show all work. Just the answer, without supporting work, will receive no credit.)
IQ Scores 
Frequency 
Relative Frequency 
50  69 
23 

70  89 
249 

90 109 

0.450 
110  129 


130  149 
25 

Total 
1000 

(a) Complete the frequency table with frequency and relative frequency. Express the relative
frequency to three decimal places. (b) What percentage of the adults in this sample has an IQ score of at least 110? (c) Does this distribution have positive skew or negative skew? Why or why not?
5. The fivenumber summary below shows the grade distribution of a STAT 200 quiz for a sample of 500 students.
Answer each question based on the given information, and explain your answer in each case.
(Iv) Cannot be determined
6. Consider selecting one card at a time from a 52card deck. What is the probability that the first card is an ace and the second card is also an ace? (Note: There are 4 aces in a deck of cards) (Show all work. Just the answer, without supporting work, will receive no credit.)
(a) Assuming the card selection is without replacement. (b) Assuming the card selection is with replacement.
7. There are 1000 students in a high school. Among the 1000 students, 350 students take AP Statistics, and 300 students take AP French. 100 students take both AP courses. Let S be the event that a randomly selected student takes AP Statistics, and F be the event that a randomly selected student takes AP French. Show all work. Just the answer, without supporting work, will receive no credit.
8. Consider rolling a fair 6faced die twice. Let A be the event that the sum of the two rolls is at least 10, and B be the event that the first one is a multiple of 3.
9. Answer the following two questions. (Show all work. Just the answer, without supporting work, will receive no credit).
x 
2 
1 
0 
1 
2 
P(x) 
0.1 
0.1 
0.3 
0.2 
0.3 
decimal places) Show all work. Just the answer, without supporting work, will receive no credit.
12. A research concludes that the number of hours of exercise per week for adults is normally distributed with a mean of 3.5 hours and a standard deviation of 3 hours. Show all work. Just the answer, without supporting work, will receive no credit.
13. Assume the SAT Mathematics Level 2 test scores are normally distributed with a mean of 500 and a standard deviation of 100. Show all work. Just the answer, without supporting work, will receive no credit.
that teenagers were at the wheel in 90 of them. Construct a 95% confidence interval estimate of the proportion of auto accidents that involve teenage drivers. Show all work. Just the answer, without supporting work, will receive no credit.
Assume Mimi wants to use a 0.10 significance level to test the claim.
17. In a study of memory recall, 5 people were given 10 minutes to memorize a list of 20 words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24 hours later. The result is shown in the following table.

Number of Words Recalled 

Subject 
1 hour later 24 hours later 

1 
14 
12 
2 
18 
15 
3 
11 
9 
4 
13 
12 
5 
12 
12 
Is there evidence to suggest that the mean number of words recalled after 24 hours are less than the mean recall after 1 hour?
Assume we want to use a 0.05 significance level to test the claim.
18. In a pulse rate research, a simple random sample of 40 men results in a mean of 80 beats per minute, and a standard deviation of 11.3 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of men have a standard deviation greater than 10 beats per minutes. Use a 0.05 significance level to test the researcher’s claim.
19.

The UMUC MiniMart sells five different types of Halloween candy bags. The manager reports that the five types are equally popular. Suppose that a sample of 500 purchases yields observed counts 125, 85, 105, 90, and 95 for types 1, 2, 3, 4, and 5, respectively. Use a 0.05 significance level to test the claim that the five types are equally popular. Show all work and justify your answer.



Type 
1 
2 
3 
4 
5 
Number of Bags 
125 
85 
105 
90 
95 
20. A STAT 200 instructor believes that the average quiz score is a good predictor of final exam score. A random sample of 6 students produced the following data where x is the average quiz score and y is the final exam score.
x 
80 
50 
60 
100 
70 
85 
y 
72 
75 
65 
90 
60 
85 
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