40 Questions

Question 1 of 40 2.5 Points
A die with 12 sides is rolled. What is the probability of rolling a number less than 11? Is this the same as rolling a total less than 11 with two six-sided dice? Explain.
A. 2/6
B. 3/6
C. 4/6
D. 5/6
Question 2 of 40 2.5 Points
Of 1308 people who came into a blood bank to give blood, 314 people had highblood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure (to 3 decimal places).
A. 0.250
B. 0.490
C. 0.240
D. 0.160
Question 3 of 40 2.5 Points
A class consists of 50 women and 82 men. If a student is randomly selected, what is the probability that the student is a woman?
A. 32/132
B. 25/66
C. 50/132
D. 82/132
Question 4 of 40 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.
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 5 of 40 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 6 of 40 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 40 2.5 Points
The data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least $98,000.
112,000 126,000 90,000 133,000 94,000 112,000 98,000 82,000 147,000 182,000 86,000 105,000
140,000 94,000 126,000 119,000 98,000 154,000 78,000 119,000
A. 0.4
B. 0.6
C. 0.66
D. 0.7
Question 8 of 40 2.5 Points
A study of two types of weed killers was done on two identical weed plots. One weed killer killed 15% more weeds than the other. This difference was significant at the 0.05 level. What does this mean?
A. The improvement was due to the fact that there were more weeds in one study.
B. The probability that the difference was due to chance alone is greater than 0.05.
C. The probability that one weed killer performed better by chance alone is less than 0.05.
D. There is not enough information to make any conclusion.
Question 9 of 40 2.5 Points
A 28-year-old man pays $125 for a one-yearlife insurancepolicy withcoverageof $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 theinsurance policy?
A. $139,916
B. ?$41
C. $84
D. ?$124
Question 10 of 40 2.5 Points
Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.413. Find the probability that in a given year it will not snow on January 1st in that town.
A. 0.345
B. 0.425
C. 0.587
D. 0.592
Question 11 of 40 2.5 Points
Suppose you have an extremely unfair coin: the probability of a head is 1/3 and the probability of a tail is 2/3. If you toss the coin 72 times, how many heads do you expect to see?
A. 12
B. 22
C. 24
D. 26
Question 12 of 40 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
D. 3/14

Question 13 of 40 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. 0.02B. 0.05C. 0.94D. 0.06Question 14 of 40 2.5 Points
A bag contains four chips of which one is red, one is blue, one is green, and one is yellow. Achipis 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. 1/4B. 3/4C. 2/16D. 3/16
Question 15 of 40 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. $1.00B. $0.00C. $3.00D. ?$1.00Question 16 of 40 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?A. 1/8B. 3/8C. 5/8D. 6/8

Question 17 of 40 2.5 Points
A sample space consists of 46 separate events that are equally likely. What is the probability of each?A. 1/24B. 1/46
C. 1/32D. 1/18

Question 18 of 40 2.5 Points
Suppose you have an extremely unfair coin: the probability of a 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. 8B. 6C. 5D. 4

Question 19 of 40 2.5 Points
If a person is randomly selected, find the probability that his or her birthday is ***** in May. Ignore leap years. There are 365 days in a year. Express your answer as a fraction.A. 335/365B. 334/365C. 336/365
D. 30/365
Question 20 of 40 2.5 Points
Suppose youbuy1 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 21 of 40 2.5 Points
Select the best estimate of the correlation coefficient for the data depicted in the scatter diagram.A. -0.9B. 0.9C. 0.5D. -0.5
Question 22 of 40 2.5 Points
The scatter plot and best-fit line show the relation between the price per item (y) and the availability of that item (x) in arbitrary units. The correlation coefficient is -0.95. Determine the amount of variation in pricing explained by the variation in availability.A. 5%B. 10%C. 95%D. 90%Question 23 of 40 2.5 Points
Select the best fit line on the scatter diagram below.A. AB. BC. CD. None of the lines is the line of best fit
Question 24 of 40 2.5 Points
Which line of the three shown in the scatter diagram below fits the data best?A. AB. BC. CD. All the lines are equally good
Question 25 of 40 2.5 Points
Select the best estimate of the correlation coefficient for the data depicted in the scatter diagram.A. -0.9B. 0.1C. 0.5D. 0.9Question 26 of 40 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.A. 28.0 to 30.0B. 25.0 to 27.0C. 29.0 to 31.0D. 27.0 to 29.0Question 27 of 40 2.5 Points
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 28 of 40 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. 0.8932B. 0.8920C. 0.9032D. 0.9048Question 29 of 40 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.A. 0.2323 to 0.3075B. 0.2325 to 0.3075C. 0.2325 to 0.3185D. 0.2323 to 0.3185Question 30 of 40 2.5 Points
In a poll of 400 voters in a certain state, 61% said that they opposed a voter ID bill that might hinder some legitimate voters from voting. The margin of error in the poll was reported as 4 percentage points (with a 95% degree of confidence). Which statement is correct?A. The reported margin of error is consistent with the sample size.B. There is not enough information to determine whether the margin of error is consistent with the sample size.C. The sample size is too small to achieve the stated margin of error.D. For the given sample size, the margin of error should be smaller than stated.

Question 31 of 40 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.A. 274B. 284C. 264D. 272Question 32 of 40 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%Question 33 of 40 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. Use the line of best fit to predict the number of cars at time 4 after the end of classes.A. 7.0B. 6.0C. 8.0D. 3.5
Question 34 of 40 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. 0.14B. 0.26C. 211D. 0.23
Question 35 of 40 2.5 Points
The scatter plot and best-fit line show the relation among the data for the price of a stock (y) and employment (x) in arbitrary units. The correlation coefficient is 0.8. Predict the stock price for an employment value of 6.A. 8.8B. 6.2C. 8.2D. None of the values are correct

Question 36 of 40 2.5 Points
A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 490 college students showed that 33% of them had, or intended to, cheat on examinations. Find the margin of error for the 95% confidence interval.A. 0.0432B. 0.0434C. 0.0425D. 0.0427
Question 37 of 40 2.5 Points
Eleven female college students are selected at random and asked their heights. The heights (in inches) are as follows:
67, 59, 64, 69, 65, 65, 66, 64, 62, 64, 62
Estimate the mean height of all female students at this college. Round your answer to the nearest tenth of an inch if necessary.A. It is not possible to estimate the population mean from this sample dataB. 64.3 inchesC. 64.9 inchesD. 63.7 inches