Summer (June) 2017
BIA2610
Exam 1
Multiple Choice, Questions 1-5. Place only one letter choice in the space provided. (5 points each)
_______ 1. The human resources department at a major high tech company recently conducted an employee satisfaction survey of 50 of its 2,000 employees. Data were collected on such variables as age, gender, current salary, level of overall satisfaction on a scale from 1 to 5, job title, and county of residence. Which of the variables would be considered categorical data?
a. age, gender, job satisfaction
b. job satisfaction, job title, gender, county of residence, age
c. county of residence, gender, job title, job satisfaction
d. all variables listed are qualitative
_______ 2. Which of the following does a histogram NOT show?
a. center and shape of data
b. relationship between two variables
c. relative frequency of data
d. spread of data
_______ 3. At the end of the school term, students are asked to rate the course and instructor by indicating on a scale of 1-5 how well they liked the course. The data generated from this question are examples of:
a. interval data
b. ordinal data
c. ratio data
d. nominal data
______ 4. When the production manager selects a sample of items that have been produced on her production line and computes the proportion of those items that are defective, the proportion is referred to as a:
a. parameter
b. population
c. mean
d. statistic
_______5. General Electric Corporation tracks employee turnover annually. They currently have a data set that contains turnover rate each year for the past 20 years. What type of data do they have?
a. time series data
b. cross-sectional data
c. nominal data
d. ordinal data
Open Answer, Questions 6-9. Answer each question as completely as possible. Partial credit will be given, so show all work. An answer without any work shown will be taken as a guess and will receive zero points. For example, if you use Excel, write down the function or formula you used. Indicate your final answer by circling it (25 points each).
6. Given the following observations from a sample, calculate the variance and standard deviation.
199
150
267
58
112
109
43
Variance
Standard deviation
7. A study in the Journal of the American Medical Association (February 20, 2008) found that patients who go into cardiac arrest while in the hospital are more likely to die if it happens after 11 pm. The study investigated 58,593 cardiac arrests that occurred during the day or evening. Of those, 11,604 survived to leave the hospital. There were 28,155 cardiac arrests during the shift that began at 11 pm, commonly referred to as the graveyard shift. Of those, 4,139 survived for discharge. The following contingency table summarizes the results of the study.
(round all answers to 3 decimal places)
a.
What is the probability that a randomly selected patient experienced cardiac arrest during the graveyard shift?
b.
Gi ...
1. Summer (June) 2017
BIA2610
Exam 1
Multiple Choice, Questions 1-5. Place only one letter choice in
the space provided. (5 points each)
_______ 1. The human resources department at a major high
tech company recently conducted an employee satisfaction
survey of 50 of its 2,000 employees. Data were collected on
such variables as age, gender, current salary, level of overall
satisfaction on a scale from 1 to 5, job title, and county of
residence. Which of the variables would be considered
categorical data?
a. age, gender, job satisfaction
b. job satisfaction, job title, gender, county of residence, age
c. county of residence, gender, job title, job satisfaction
d. all variables listed are qualitative
_______ 2. Which of the following does a histogram NOT
show?
a. center and shape of data
b. relationship between two variables
c. relative frequency of data
d. spread of data
_______ 3. At the end of the school term, students are asked to
rate the course and instructor by indicating on a scale of 1-5
how well they liked the course. The data generated from this
question are examples of:
a. interval data
b. ordinal data
c. ratio data
d. nominal data
2. ______ 4. When the production manager selects a sample of
items that have been produced on her production line and
computes the proportion of those items that are defective, the
proportion is referred to as a:
a. parameter
b. population
c. mean
d. statistic
_______5. General Electric Corporation tracks employee
turnover annually. They currently have a data set that contains
turnover rate each year for the past 20 years. What type of data
do they have?
a. time series data
b. cross-sectional data
c. nominal data
d. ordinal data
Open Answer, Questions 6-9. Answer each question as
completely as possible. Partial credit will be given, so show all
work. An answer without any work shown will be taken as a
guess and will receive zero points. For example, if you use
Excel, write down the function or formula you used. Indicate
your final answer by circling it (25 points each).
6. Given the following observations from a sample, calculate
the variance and standard deviation.
199
150
267
58
3. 112
109
43
Variance
Standard deviation
7. A study in the Journal of the American Medical Association
(February 20, 2008) found that patients who go into cardiac
arrest while in the hospital are more likely to die if it happens
after 11 pm. The study investigated 58,593 cardiac arrests that
4. occurred during the day or evening. Of those, 11,604 survived
to leave the hospital. There were 28,155 cardiac arrests during
the shift that began at 11 pm, commonly referred to as the
graveyard shift. Of those, 4,139 survived for discharge. The
following contingency table summarizes the results of the study.
(round all answers to 3 decimal places)
a.
What is the probability that a randomly selected patient
experienced cardiac arrest during the graveyard shift?
b.
Given that a randomly selected patient experienced cardiac
arrest during the graveyard shift, what is the probability the
patient survived for discharge?
c. What is the probability that a randomly selected patient had a
cardiac arrest during the day or evening shift and did not
survive for discharge?
5. d. What is the probability that a randomly selected patient
survived for discharge or had a cardiac arrest during the
graveyard shift?
8. Consider the following data set:
Calculate the 20th and 87th percentiles.
20th
87th
6. 9. Consider the following frequency distribution:
Class
Frequency
Relative frequency
Cumulative relative frequency
1000 up to 1100
4
1100 up to 1200
8
1200 up to 1300
7. 9
1300 up to 1400
3
a. Fill in the relative frequency and cumulative relative
frequency values. (round your answers to 3 decimal places)
b. What percent of the observations are at least 1100 but less
than 1200? (round to 1 decimal place)
c. What percent of the observations are less than 1300? (round
to 1 decimal place)
8. 10. India is the second most populous country in the world, with
a population of over 1 billion people. Although the government
has offered various incentives for population control, some
argue that the birth rate, especially in rural India, is still too
high to be sustainable. A demographer computes the following
probability distribution of the household size in India.
Household Size
Probability
1
0.05
2
0.09
3
0.12
4
0.24
5
0.25
6
0.25
a. What is the expected household size based on this probability
distribution? (13 pts)
b. What is the household size standard deviation? (12 pts)
9. 11. At a local commuter college, 60% of students who enter the
college as freshmen go on to graduate. Five freshmen are
randomly selected. ROUND ALL ANSWERS TO 4 DECIMAL
PLACES. SHOW WORK!
a) What is the probability that none of them graduates from the
local university? (7 pts)
b) What is the probability that at most four will graduate from
the local university? (9 pts)
c) What is the probability that two or less will graduate from
the local university? (9 pts)
10. 12. Find the following z values for the standard normal variable
Z. (8 pts each)
a) Area to the left of z is 0.1056. What is z?
b) Area between –z and 0 is 0.4192. What is z?
d) Area between 0.37 and z is 0.3121. What is z?
13. Find the following probabilities based on a standard normal
variable Z. (8 pts each)
a) P(Z > 0.72)
11. b) P(Z ≤ -1.87)
c) P(-0.90 ≤ Z ≤ 2.93)
14. Americans are increasingly skimping on their sleep
(National Geographic News, February 24, 2005). A health
expert believes that American adults sleep an average of 6.2
hours on weekdays with a standard deviation of 1.2 hours.
Assume sleep time is normally distributed.
a) What percent of American adults sleep more than 8 hours on
weekdays? (9 pts)
b) What percent of American adults sleep between 4 and 8 hours
on weekdays? (9 pts)
12. c) What is the minimum amount of sleep needed to be in the top
5%? (9 pts)