UNIVERSITY OF MARYLAND UNIVERSITY COLLEGE STAT 200 MIDTERM EXAMINATION Prof: Dr. J Wulu Given Date: 02/10/2020 at 12:01AM Due Date/Time: 02/16/2020 via Assignment Tab “Midterm Exam” at 11:59PM EST...

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UNIVERSITY OF MARYLAND UNIVERSITY COLLEGE STAT 200 MIDTERM EXAMINATION Prof: Dr. J Wulu Given Date: 02/10/2020 at 12:01AM Due Date/Time: 02/16/2020 via Assignment Tab “Midterm Exam” at 11:59PM EST (Students are required to submit completed test in a single continuous pdf file format only) Max Point: 250 Name__________________________________________Last 4-digt of St#________________Date___________Score______ Instructions: Read each problem carefully, write neatly, and respond to all problems. Show all work, wherever necessary. Students are required to work on this test independently. Do not share your solutions/answers with fellow classmates. Calculator and Computer with MS Excel Allowed. PART I. Multiple Choice Problems: Choose the most appropriate option or best choice for each problem by circling –or circle your choice (do not shade nor color your choice) the letter of option. Students may submit 1-page of choices for this part. (100 points – 4 pts each) 1. Find the z-score that has 2.68% of the distribution’s area to its right. A. z = 0.9963 B. z = –1.93 C. z = –0.0037 D. z = 1.93 E. None 2. When designing an environment, one common criterion is to use a design that accommodates 95% of the population. What aircraft ceiling height will allow 95% of men to stand without bumping their heads? That is, find the 95th percentile of heights of men. Assume that heights of men are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in. A. 69.5 in. B. 76.7 in. C. 82.4 in. D. 73.4 in.E. none 3. In 431 NFL football games that went to overtime, the teams that won the coin toss went on to win 235 of those games. If the coin-toss method is fair, we expect that the teams winning the coin would win about 50% of the games, so we expect about 215.5 wins in 431 overtime games. Assuming that there is a0.5 probability of winning a game after winning the coin toss, find the probability of getting at least 235 winning games among the 431 teams that won the coin toss. That is, given n = 431 and p = 0.5, find the probability of at least 235 wins. A. 0.3803 B. 0.0035 C. 0.9664 D. 0.0336E. None 4. Identify the population: A survey of 500 adults in the U.S. found that 54% drink coffee daily. A. Collection of the 500 adults surveyed B. Collection of all adults in the U.S. C. 54% D. 500 E. None 5. Identify the sample: A survey of 500 adults in the U.S. found that 54% drink coffee daily. A. Collection of the 500 adults surveyed B. Collection of all adults in the U.S. C. 54% D. 500 E. None 6. Identify the data set’s level of measurement: The IQ scores of students in a class. A. Nominal B. Ordinal C. Interval D. Ratio E. None 7. Identify the data set’s level of measurement: The nationality of each person on an airplane. A. Nominal B. Ordinal C. Interval D. Ratio E. None 8. Identify the data set’s level of measurement: The salaries of nurses at a hospital. A. Nominal B. Ordinal C. Interval D. Ratio E. None 9. Decide which method of data collection would be most appropriate: A study of the effect of using MyStatLab (as an application tool) on grades in a statistics course. A. Observational study B. Experiment C. Simulation D. Survey E. None 10. Identify the sampling technique used: Students are classified according to major. Twenty students are selected from each major and asked how often they use the library. A. Simple Random sample B. Stratified sample C. Cluster sample D. Systematic sample E. Convenience Class Frequency, f 1 – 5 21 6 – 10 16 11 – 15 28 16 – 20 13 11. Find the class width: A. 3 B. 4 C. 5 D. 19 E. None 12. Estimate the frequency of the class with the greatest frequency. A. 28 B. 21 C. 58 D. 53 E. None 13-16: The heights (in inches) of a sample of basketball players are shown: 767981788278 13. Find the mean. A. 78.5 B. 79 C. 474 D. 78 E. None 14. Find the median. A. 78.5 B. 79 C. 79.5 D. 78 E. None 15. Find the mode. A. 78.5 B. 79 C. 79.5 D. 78 E. None 16. Find the standard deviation. A. 2.2 B. 6 C. 2 D. 4.8 E. None 17. The mean annual automobile insurance premium is $950, with a standard deviation of $175. The data set has a bell-shaped distribution. Estimate the percent of premiums that are between $600 and $1300. A. 68% B. 75% C. 95% D. 99.7% E. None 18. Each year, in a small town in Maryland, an award is given to the person who has read the most books in a year. The following is a table representing the ages of the book award winners over the past 30 years. Ages of Book Award winners over the past 30 years: 41 34 51 62 32 42 54 52 30 39 53 44 29 43 56 35 51 57 28 30 30 53 41 34 51 62 43 32 42 50 What age range is the winner most likely to be in? A. 56 – 65 B. 46 – 55 C. 36 – 45 D. 26 – 35 E. None 19. A teacher gives a 20-point test to students. The scores are listed below. What percentile corresponds to the score of 12? 20810715161219149 A) 12 B) 25 C) 13 D) 40 E) None 20. The data reflecting the number of seats in each movie theater in Prince George’s County, Maryland, during FY 2013 is classified as A) Quantitative dataB) Qualitative dataC) Continuous dataD) None 21. What method of data collection would you use to collect data for a study where a drug was given to 10 patients and a placebo to another group of 10 patients to determine if the drug has an effect on a patient’s illness? A) Take a census B) Use sampling C) Use a simulation D) Perform an experiment E) None 22. The mean IQ of students in a particular statistics class is 100, with a standard deviation of 5. The distribution is roughly bell-shaped. Use the Empirical Rule to find the percentage of students with IQ below 105. A) 84% B) 34% C) 13.5% D) 16% E) None 23. Determine the type of sampling technique used. A pollster interviews all human resource personnel in five different high-tech companies. A. Simple Random sample B. Stratified sample C. Cluster sample D. Systematic sampleE. Convenience 24. Determine the type of sampling technique used. A medical researcher interviews every tenth cancer patient from a list of cancer patients at a local hospital. A. Simple Random sample B. Stratified sample C. Cluster sample D. Systematic sampleE. Convenience 25. The sum of deviations of the individual data elements from their mean is A. Always greater than zero B. Always less than zero C. Sometimes greater than and sometimes less than zero, depending on the data elements D. Always equal to
Answered Same DayFeb 11, 2021

Answer To: UNIVERSITY OF MARYLAND UNIVERSITY COLLEGE STAT 200 MIDTERM EXAMINATION Prof: Dr. J Wulu Given Date:...

Mohammad Wasif answered on Feb 14 2021
131 Votes
UNIVERSITY OF MARYLAND UNIVERSITY COLLEGE
STAT 200 MIDTERM EXAMINATION
                                        Prof: Dr. J Wulu
Given Date: 02/10/2020 at 12:01AM
Due Date/Time: 02/16/2020 via Assignment Tab “Midterm Exam” at 11:59PM EST
(Students are required to submit completed test in a single continuous pdf file format only)
Max Point: 250
Name__________________________________________Last 4-digt of St#________________Date___________Score______
Instructions: Read each problem ca
refully, write neatly, and respond to all problems. Show all work, wherever necessary. Students are required to work on this test independently. Do not share your solutions/answers with fellow classmates. Calculator and Computer with MS Excel Allowed.
PART I. Multiple Choice Problems: Choose the most appropriate option or best choice for each problem by circling –or circle your choice (do not shade nor color your choice) the letter of option. Students may submit 1-page of choices for this part. (100 points – 4 pts each)
1. Find the z-score that has 2.68% of the distribution’s area to its right.
A. z = 0.9963
B. z = –1.93
C. z = –0.0037
D. z = 1.93                 E. None
2. When designing an environment, one common criterion is to use a design that accommodates 95% of the population. What aircraft ceiling height will allow 95% of men to stand without bumping their heads? That is, find the 95th percentile of heights of men. Assume that heights of men are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in.
A. 69.5 in.
B. 76.7 in.
C. 82.4 in.
D. 73.4 in.                        E. none
3. In 431 NFL football games that went to overtime, the teams that won the coin toss went on to win 235 of those games. If the coin-toss method is fair, we expect that the teams winning the coin would win about 50% of the games, so we expect about 215.5 wins in 431 overtime games. Assuming that there is a0.5 probability of winning a game after winning the coin toss, find the probability of getting at least 235 winning games among the 431 teams that won the coin toss. That is, given n = 431 and p = 0.5, find the probability of at least 235 wins.
A. 0.3803
B. 0.0035
C. 0.9664
D. 0.0336                        E. None
4. Identify the population: A survey of 500 adults in the U.S. found that 54% drink coffee daily.
A. Collection of the 500 adults surveyed
B. Collection of all adults in the U.S.
C. 54%
D. 500                 E. None
5. Identify the sample: A survey of 500 adults in the U.S. found that 54% drink coffee daily.
A. Collection of the 500 adults surveyed
B. Collection of all adults in the U.S.
C. 54%
D. 500                 E. None
6. Identify the data set’s level of measurement: The IQ scores of students in a class.
A. Nominal
B. Ordinal
C. Interval
D. Ratio                 E. None
7. Identify the data set’s level of measurement: The nationality of each person on an airplane.
A. Nominal
B. Ordinal
C. Interval
D. Ratio                 E. None
8. Identify the data set’s level of measurement: The salaries of nurses at a hospital.
A. Nominal
B. Ordinal
C. Interval
D. Ratio                  E. None
9. Decide which method of data collection would be most appropriate: A study of the effect of using MyStatLab (as an application tool) on grades in a statistics course.
A. Observational study
B. Experiment
C. Simulation
D. Survey                 E. None
10. Identify the sampling technique used: Students are classified according to major. Twenty students are selected from each major and asked how often they use the library.
A. Simple Random sample
B. Stratified sample
C. Cluster sample
D. Systematic sample             E. Convenience
    Class
    Frequency, f
    1 – 5
    21
    6 – 10
    16
    11 – 15
    28
    16 – 20
    13
11. Find the class width:
A. 3
B. 4
C. 5
D. 19
E. None
12. Estimate the frequency of the class with the greatest frequency.
A. 28
B. 21
C. 58
D. 53
E. None
13-16: The heights (in inches) of a sample of basketball players are shown:
    76    79    81    78    82    78
13. Find the mean.
A. 78.5
B. 79
C. 474
D. 78
E. None
14. Find the median.
A. 78.5
B. 79
C. 79.5
D. 78
E. None
15. Find the mode.
A. 78.5
B. 79
C. 79.5
D. 78
E. None
16. Find the standard deviation.
A. 2.2
B. 6
C. 2
D. 4.8
E. None
17. The mean annual automobile insurance premium is $950, with a standard deviation of $175. The data set has a bell-shaped distribution. Estimate the percent of premiums that are between $600 and $1300.
A. 68%
B. 75%
C. 95%
D. 99.7%                 E....
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