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statistical analysis exam 6

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
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 3 of 40
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.
 
D. The probability that the difference occurred due to chance is more than 0.05.
Question 4 of 40
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
 
B. 0.4
 
C. 0.7
 
D. 0.8
Question 5 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 of getting at least one head?

A. 4/9
 
B. 5/6
 
C. 7/8
 
D. 5/8
Question 6 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.
 

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Question 7 of 40
2.5 Points
A study of students taking Statistics 101 was done. Four hundred students who studied for more than 10 hours averaged a B. Two hundred students who studied for less than 10 hours averaged a C. This difference was significant at the 0.01 level. What does this mean?

A. The probability that the difference was due to chance alone is greater than 0.01.
 
B. There is less than a 0.01 chance that the first group’s grades were better by chance alone.
 
C. The improvement was due to the fact that more people studied.
 
D. There is not enough information to make any conclusion.
 

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Question 8 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. 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 9 of 40
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 10 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 11 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. 1/8
 
B. 3/8
 
C. 5/8
 
D. 6/8
Question 12 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 13 of 40
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 14 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
 

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What’s This?

Question 15 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 16 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 17 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 of getting at least two tails?

A. 1/2
 
B. 2/3
 
C. 3/4
 
D. 4/9
Question 18 of 40
2.5 Points
A sample space consists of 46 separate events that are equally likely. What is the probability of each?

A. 1/24
 
B. 1/46
 
C. 1/32
 
D. 1/18
Question 19 of 40
2.5 Points
In a poll, respondents were asked whether they had ever been in a car accident. 220 respondents indicated that they had been in a car accident and 370 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth.

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