MA260.2.1 Statistical Analysis ILog Out Online Exam 6_06 Return to Assessment List Part 1 of 2 -30.0/ 50.0 Points Question 1 of 400.0/ 2.5 Points Jody checked the temperature 12 times on Monday, and the last digit of the temperature was odd six times more than it was even. On Tuesday, she checked it 18 times and the last digit was odd eight times more than it was even. Determine which series is closer to the 50/50 ratio of odd/even expected of such a series of temperature checks. A. The Monday series is closer because 1/6 is closer to 1/2 than is 1/8. B. The Monday series is closer because 6/12 is closer to 0.5 than is 8/18. C. The Tuesday series is closer because the 13/18 is closer to 0.5 than is 9/12. D. The series closest to the theoretical 50/50 cannot be determined without knowing the number of odds and evens in each series. Question 2 of 402.5/ 2.5 Points Joe dealt 20 cards from a standard 52-card deck, and the number of red cards exceeded the number of black cards by 8. He reshuffled the cards and dealt 30 cards. This time, the number of red cards exceeded the number of black cards by 10. Determine which deal is closer to the 50/50 ratio of red/black expected of fairly dealt hands from a fair deck and why. A. The first series is closer because 1/10 is farther from 1/2 than is 1/8. B. The series closer to the theoretical 50/50 cannot be determined unless the number of red and black cards for each deal is given. C. The second series is closer because 20/30 is closer to 1/2 than is 14/20. D. The first series is closer because the difference between red and black is smaller than the difference in the second series. Question 3 of 402.5/ 2.5 Points On a multiple choice test, each question has 6 possible answers. If you make a random guess on the first question, what is the probability that you are correct? A. 1/5 B. 1/6 C. 1/4 D. 2/5 Question 4 of 402.5/ 2.5 Points Suppose you have an extremely unfair die: The probability of a 6 is 3/8, and the probability of each other number is 1/8. If you toss the die 32 times, how many twos do you expect to see? A. 2 B. 4 C. 3 D. 5 Question 5 of 402.5/ 2.5 Points Suppose you buy 1 ticket for $1 out of a lottery of 1000 tickets where the prize for the one winning ticket is to be $500. What is your expected value? A. $0.00 B. −$0.40 C. −$1.00 D. −$0.50 Question 6 of 400.0/ 2.5 Points The distribution of B.A. degrees conferred by a local college is listed below, by major. Major                    Frequency  English                 2073 Mathematics        2164 Chemistry            318 Physics                856 Liberal Arts          1358 Business              1676 Engineering          868                               9313 What is the probability that a randomly selected degree is not in Business?  A. 0.7800 B. 0.8200 C. 0.8300 D. 0.9200 Question 7 of 402.5/ 2.5 Points The probability that Luis wi.

1. MA260.2.1 Statistical Analysis ILog Out
Online Exam 6_06
Return to Assessment List
Part 1 of 2 -30.0/ 50.0 Points
Question 1 of 400.0/ 2.5 Points
Jody checked the temperature 12 times on Monday, and the last
digit of the temperature was odd six times more than it was
even. On Tuesday, she checked it 18 times and the last digit was
odd eight times more than it was even. Determine which series
is closer to the 50/50 ratio of odd/even expected of such a series
of temperature checks.
A. The Monday series is closer because 1/6 is closer to 1/2 than
is 1/8.
B. The Monday series is closer because 6/12 is closer to 0.5
than is 8/18.
C. The Tuesday series is closer because the 13/18 is closer to
0.5 than is 9/12.

2. D. The series closest to the theoretical 50/50 cannot be
determined without knowing the number of odds and evens in
each series.
Question 2 of 402.5/ 2.5 Points
Joe dealt 20 cards from a standard 52-card deck, and the number
of red cards exceeded the number of black cards by 8. He
reshuffled the cards and dealt 30 cards. This time, the number
of red cards exceeded the number of black cards by 10.
Determine which deal is closer to the 50/50 ratio of red/black
expected of fairly dealt hands from a fair deck and why.
A. The first series is closer because 1/10 is farther from 1/2
than is 1/8.
B. The series closer to the theoretical 50/50 cannot be
determined unless the number of red and black cards for each
deal is given.
C. The second series is closer because 20/30 is closer to 1/2
than is 14/20.
D. The first series is closer because the difference between red
and black is smaller than the difference in the second series.

3. Question 3 of 402.5/ 2.5 Points
On a multiple choice test, each question has 6 possible answers.
If you make a random guess on the first question, what is the
probability that you are correct?
A. 1/5
B. 1/6
C. 1/4
D. 2/5
Question 4 of 402.5/ 2.5 Points
Suppose you have an extremely unfair die: The probability of a
6 is 3/8, and the probability of each other number is 1/8. If you
toss the die 32 times, how many twos do you expect to see?
A. 2

4. B. 4
C. 3
D. 5
Question 5 of 402.5/ 2.5 Points
Suppose you buy 1 ticket for $1 out of a lottery of 1000 tickets
where the prize for the one winning ticket is to be $500. What is
your expected value?
A. $0.00
B. −$0.40
C. −$1.00
D. −$0.50

5. Question 6 of 400.0/ 2.5 Points
The distribution of B.A. degrees conferred by a local college is
listed below, by major.
Major Frequency
English 2073
Mathematics 2164
Chemistry 318
Physics 856
Liberal Arts 1358
Business 1676
Engineering 868
9313
What is the probability that a randomly selected degree is not in
Business?
A. 0.7800
B. 0.8200

6. C. 0.8300
D. 0.9200
Question 7 of 402.5/ 2.5 Points
The probability that Luis will pass his statistics test is 0.94.
Find the probability that he will fail his statistics test.
A. 0.02
B. 0.05
C. 0.94
D. 0.06
Question 8 of 402.5/ 2.5 Points
Suppose you have an extremely unfair coin: the probability of a

7. head is 1/5, and the probability of a tail is 4/5. If you toss the
coin 40 times, how many heads do you expect to see?
A. 8
B. 6
C. 5
D. 4
Question 9 of 402.5/ 2.5 Points
A committee of three people is to be formed. The three people
will be selected from a list of five possible committee members.
A simple random sample of three people is taken, without
replacement, from the group of five people. Using the letters A,
B, C, D, E to represent the five people, list the possible samples
of size three and use your list to determine the probability that
B is included in the sample. (Hint: There are 10 possible
samples.)
A. 0.6

8. B. 0.4
C. 0.7
D. 0.8
Question 10 of 400.0/ 2.5 Points
If a person is randomly selected, find the probability that his or
her birthday is not in May. Ignore leap years. There are 365
days in a year. Express your answer as a fraction.
A. 335/365
B. 334/365
C. 336/365
D. 30/365

9. Question 11 of 402.5/ 2.5 Points
A bag contains four chips of which one is red, one is blue, one
is green, and one is yellow. A chip is selected at random from
the bag and then replaced in the bag. A second chip is then
selected at random. Make a list of the possible outcomes (for
example, RB represents the outcome red chip followed by blue
chip) and use your list to determine the probability that the two
chips selected are the same color. (Hint: There are 16 possible
outcomes.)
A. 1/4
B. 3/4
C. 2/16
D. 3/16
Question 12 of 400.0/ 2.5 Points
If you flip a coin three times, the possible outcomes are HHH,
HHT, HTH, HTT, THH, THT, TTH, TTT. What is the
probability that at least two heads occur consecutively?

10. A. 1/8
B. 3/8
C. 5/8
D. 6/8
Question 13 of 400.0/ 2.5 Points
In the first series of rolls of a die, the number of odd numbers
exceeded the number of even numbers by 5. In the second series
of rolls of the same die, the number of odd numbers exceeded
the number of even numbers by 11. Determine which series is
closer to the 50/50 ratio of odd/even expected of a fairly rolled
die.
A. The second series is closer because the difference between
odd and even numbers is greater than the difference for the first
series.

11. B. The first series is closer because the difference between odd
and even numbers is less than the difference for the second
series.
C. Since 1/2 > 1/5 > 1/11, the first series is closer.
D. The series closer to the theoretical 50/50 cannot be
determined unless the total number of rolls for both series is
given.
Question 14 of 402.5/ 2.5 Points
A bag contains 4 red marbles, 3 blue marbles, and 7 green
marbles. If a marble is randomly selected from the bag, what is
the probability that it is blue?
A. 2/11
B. 3/11
C. 5/14

12. D. 3/14
Question 15 of 400.0/ 2.5 Points
Sammy and Sally each carry a bag containing a banana, a
chocolate bar, and a licorice stick. Simultaneously, they take
out a single food item and consume it. The possible pairs of
food items that Sally and Sammy consumed are as follows.
chocolate bar - chocolate bar
licorice stick - chocolate bar
banana - banana
chocolate bar - licorice stick
licorice stick - licorice stick
chocolate bar – banana
banana - licorice stick
licorice stick - banana
banana - chocolate bar
Find the probability that no chocolate bar was eaten.
A. 4/9

13. B. 5/9
C. 7/9
D. 5/8
Question 16 of 402.5/ 2.5 Points
If you flip a coin three times, the possible outcomes are HHH,
HHT, HTH, HTT, THH, THT, TTH, TTT. What is the
probability of getting at least two tails?
A. 1/2
B. 2/3
C. 3/4
D. 4/9

14. Question 17 of 402.5/ 2.5 Points
A sample space consists of 46 separate events that are equally
likely. What is the probability of each?
A. 1/24
B. 1/46
C. 1/32
D. 1/18
Question 18 of 402.5/ 2.5 Points
Suppose you pay $1.00 to roll a fair die with the understanding
that you will get back $3.00 for rolling a 5 or a 2, nothing
otherwise. What is your expected value?
A. $1.00

15. B. $0.00
C. $3.00
D. −$1.00
Question 19 of 400.0/ 2.5 Points
A study of 600 college students taking Statistics 101 revealed
that 54 students received the grade of A. Typically 10% of the
class gets an A. The difference between this group of students
and the expected value is not significant at the 0.05 level. What
does this mean in this case?
A. The probability that the difference occurred due to chance is
less than 0.05.
B. The probability of getting an A is 10% and only 9% got an A
in this study. The difference is less than 5% so it is not
significant.
C. There is not enough information to make any conclusion.

16. D. The probability that the difference occurred due to chance is
more than 0.05.
Question 20 of 400.0/ 2.5 Points
A 28-year-old man pays $125 for a one-year life insurance
policy with coverage of $140,000. If the probability that he will
live through the year is 0.9994, to the nearest dollar, what is the
man’s expected value for the insurance policy?
A. $139,916
B. −$41
C. $84
D. −$124
Part 2 of 2 -0.0/ 50.0 Points
Question 21 of 400.0/ 2.5 Points

17. Which point below would be an outlier if it were on the
following graph?
A. (25, 20)
B. (5, 12)
C. (7, 5)
D. (5, 3)
Question 22 of 400.0/ 2.5 Points
Among a random sample of 500 college students, the mean
number of hours worked per week at non-college related jobs is
14.6. This mean lies 0.4 standard deviations below the mean of
the sampling distribution. If a second sample of 500 students is
selected, what is the probability that for the second sample, the
mean number of hours worked will be less than 14.6?
A. 0.5

18. B. 0.6179
C. 0.6554
D. 0.3446
Question 23 of 400.0/ 2.5 Points
The scatter plot and best-fit line show the relation among the
number of cars waiting by a school (y) and the amount of time
after the end of classes (x) in arbitrary units. The correlation
coefficient is -0.55. Determine the amount of variation in the
number of cars not explained by the variation time after school.
A. 55%
B. 70%
C. 30%
D. 45%

19. Question 24 of 400.0/ 2.5 Points
Among a random sample of 150 employees of a particular
company, the mean commute distance is 29.6 miles. This mean
lies 1.2 standard deviations above the mean of the sampling
distribution. If a second sample of 150 employees is selected,
what is the probability that for the second sample, the mean
commute distance will be less than 29.6 miles?
A. 0.8849
B. 0.5
C. 0.1131
D. 0.1151
Question 25 of 400.0/ 2.5 Points
A researcher wishes to estimate the proportion of college
students who cheat on exams. A poll of 560 college students
showed that 27% of them had, or intended to, cheat on
examinations. Find the 95% confidence interval.

20. A. 0.2323 to 0.3075
B. 0.2325 to 0.3075
C. 0.2325 to 0.3185
D. 0.2323 to 0.3185
Question 26 of 400.0/ 2.5 Points
Which line of the three shown in the scatter diagram below fits
the data best?
A. A
B. B
C. C

21. D. All the lines are equally good
Question 27 of 400.0/ 2.5 Points
Which graph has two groups of data, correlations within each
group, but no correlation among all the data?
A.
B.
C.
D.
Question 28 of 400.0/ 2.5 Points
A researcher wishes to estimate the mean amount of money
spent per month on food by households in a certain
neighborhood. She desires a margin of error of $30. Past studies
suggest that a population standard deviation of $248 is
reasonable. Estimate the minimum sample size needed to
estimate the population mean with the stated accuracy.

22. A. 274
B. 284
C. 264
D. 272
Question 29 of 400.0/ 2.5 Points
Select the best fit line on the scatter diagram below.
A. A
B. B
C. C

23. D. All of the lines are equally good
Question 30 of 400.0/ 2.5 Points
Select the best fit line on the scatter diagram below.
A. A
B. B
C. C
D. None of the lines is the line of best fit
Question 31 of 400.0/ 2.5 Points
A random sample of 30 households was selected from a
particular neighborhood. The number of cars for each household
is shown below. Estimate the mean number of cars per
household for the population of households in this
neighborhood. Give the 95% confidence interval.

24. A. 1.14 to 1.88
B. 1.12 to 1.88
C. 1.12 to 1.98
D. 1.14 to 1.98
Question 32 of 400.0/ 2.5 Points
The graph shows a measure of fitness (y) and miles walked
weekly. Identify the probable cause of the correlation.
A. The correlation is coincidental.
B. There is a common underlying cause of the correlation.
C. There is no correlation between the variables.

25. D. Walking is a direct cause of the fitness.
Question 33 of 400.0/ 2.5 Points
Monthly incomes of employees at a particular company have a
mean of $5954. The distribution of sample means for samples of
size 70 is normal with a mean of $5954 and a standard deviation
of $259. Suppose you take a sample of size 70 employees from
the company and find that their mean monthly income is $5747.
How many standard deviations is the sample mean from the
mean of the sampling distribution?
A. 0.8 standard deviations above the mean
B. 0.8 standard deviations below the mean
C. 7.3 standard deviations below the mean
D. 207 standard deviations below the mean
Question 34 of 400.0/ 2.5 Points
Suggest the cause of the correlation among the data.

26. The graph shows strength of coffee (y) and number of scoops
used to make 10 cups of coffee (x). Identify the probable cause
of the correlation.
A.
The variation in the x variable is a direct cause of the variation
in
the y variable.
B. There is no correlation between the variables.
C. The correlation is due to a common underlying cause.
D. The correlation between the variables is coincidental.
Question 35 of 400.0/ 2.5 Points
A sample of 64 statistics students at a small college had a mean
mathematics ACT score of 28 with a standard deviation of 4.
Estimate the mean mathematics ACT score for all statistics
students at this college. Give the 95% confidence interval.

27. A. 28.0 to 30.0
B. 25.0 to 27.0
C. 29.0 to 31.0
D. 27.0 to 29.0
Question 36 of 400.0/ 2.5 Points
30% of the fifth grade students in a large school district read
below grade level. The distribution of sample proportions of
samples of 100 students from this population is normal with a
mean of 0.30 and a standard deviation of 0.045. Suppose that
you select a sample of 100 fifth grade students from this district
and find that the proportion that reads below grade level in the
sample is 0.36. What is the probability that a second sample
would be selected with a proportion less than 0.36?
A. 0.8932
B. 0.8920

28. C. 0.9032
D. 0.9048
Question 37 of 400.0/ 2.5 Points
Of the 6796 students in one school district, 1537 cannot read up
to grade level. Among a sample of 812 of the students from this
school district, 211 cannot read up to grade level. Find the
sample proportion of students who cannot read up to grade
level.
A. 0.14
B. 0.26
C. 211
D. 0.23

29. Question 38 of 400.0/ 2.5 Points
A population proportion is to be estimated. Estimate the
minimum sample size needed to achieve a margin of error E =
0.01with a 95% degree of confidence.