Quiz about Statistics Final Exam

Question 1

A bag contains 5 green marbles, 7 blue marbles and 3 yellow marbles. Find the probability of selecting a green marble from the bag.

Accepted Answer

1/3

Answer

1/5

Answer

7/15

Answer

2/3

Question 2

What is the probability of selecting a cherry piece?

Accepted Answer

3/12

Answer

12/12

Answer

5/12

Answer

4/12

Question 3

A dice is rolled. What is the probability that the result is less than 3?

Accepted Answer

1/3

Answer

1/2

Answer

1/4

Answer

1/6

Question 4

What is the likelihood of picking a black card from a standard deck of playing cards?

Accepted Answer

26/52

Answer

13/52

Answer

4/52

Answer

8/52

Question 5

In a standard deck of 52 playing cards, what is the probability that a randomly chosen card is a red 7?

Accepted Answer

2/52

Answer

3/52

Answer

4/52

Answer

13/52

Question 6

The spinner is spun until it lands on one of the five edges of the pentagon. What is the probability that the number it lands on is odd?

Accepted Answer

3/5

Answer

1/5

Answer

2/5

Answer

1/2

Question 7

The theoretical probability of rolling 4 with two dice is 3/36. How many 4s would you expect to roll if you rolled a set of two dice 100 times?

Accepted Answer

About 10

Answer

About 3

Answer

About 30

Answer

About 100

Question 8

Which of the following situations is represented by this tree diagram?

Accepted Answer

3 shirt options, 2 pants options, and 2 shoe options

Answer

3 shirt options, 6 pants options, and 12 shoe options

Answer

2 shirt options, 3 pants options, and 1 shoe option

Question 9

You spin this spinner 3 times. Find the probability of spinning a red first, odd second, and a 3 on the last spin.

Accepted Answer

1/72

Answer

1/216

Answer

1/36

Answer

1/12

Question 10

Probability can be between what two numbers?

Accepted Answer

0 and 1

Answer

10 and 20

Answer

0 and 100

Answer

All Numbers are possible

Question 11

Question 11.

Accepted Answer

.6246

Answer

.2855

Answer

.0922

Answer

.3230

Question 12

A bag contains 5 red marbles and 4 pink marbles. A marble is randomly drawn and then replaced. What is the probability the first marble is pink and the second is red?

Accepted Answer

24.7%

Answer

26.9%

Answer

20.0%

Answer

5%

Question 13

A bag contains 5 red marbles and 4 pink marbles. A marble is randomly drawn and does not get replaced. What is the probability that both marbles are red?

Accepted Answer

27.8%

Answer

24.7%

Answer

20.0%

Answer

4%

Question 14

Amber rolls two dice and it is known that the sum of the numbers is 7. What is the probability one die is a 5? That is, what's the chance of selecting an outcome that contains a 5 when you restrict to only those outcomes that add up to 7?

Accepted Answer

33.3%

Answer

16.7%

Answer

19.8%

Answer

8.3%

Question 15

What term refers to the set of all possible outcomes?

Accepted Answer

Sample Space

Answer

Probability

Answer

Probability Distribution

Answer

Tree Diagram

Question 16

What term refers to the situation where two events have no elements in common?

Accepted Answer

Disjoint

Answer

Independent

Answer

Disconnected

Answer

Venn Diagram

Question 17

What is the probability of flipping at least two heads flips from 5 total coin flips? Assume that a fair coin is used.

Accepted Answer

26/32

Answer

2/32

Answer

6/32

Answer

8/32

Question 18

In a normally distributed data distribution with a mean of 100 and a standard deviation of 10, what is the 75th percentile?

Accepted Answer

106.7448975

Answer

110

Answer

108.6271843

Answer

112

Question 19

In a normally distributed data distribution with a mean of 100 and a standard deviation of 10, what is the z-score that corresponds to the 90th percentile?

Accepted Answer

1.281551567

Answer

1

Answer

2

Answer

1.682163271

Question 20

In a normally distributed data distribution with a mean of 100 and a standard deviation of 10, what is the interval centered around the mean in which 60% of all observations will fall?

Accepted Answer

(91.58, 108.42)

Answer

(90, 110)

Answer

102.53

Answer

(89.12, 111.84)

Question 21

In a normally distributed data distribution with a mean of 100 and a standard deviation of 10, what is the probability that a randomly selected observation will be greater than 120?

Accepted Answer

.022750062

Answer

.977249938

Answer

.036581264

Answer

.963418736

Question 22

For a normally distributed data set, what is the probability that an observation is at least 2.2 deviations away from the mean? [You might begin by drawing a normal curve with a center between the endpoints z=-2.2 and z=2.2.]

Accepted Answer

2 x 0.0139

Answer

2 x 0.0212

Answer

2 x 0.0176

Answer

.9722

Question 23

Given a normally distributed data distribution, such as heights of a large population, suppose that a particular height is the 75th percentile. What would be the corresponding z-score for this height?

Accepted Answer

.6744897495

Answer

1

Answer

Not possible to determine

Answer

.8151624982

Question 24

Suppose you play a $2 scratch off game where there is a 1 in 4 chance to win $2, a 1 in 10 chance to win $10, a 1 in 15 chance to win $250, and a 1 in 25 chance to win $5000. What is the expected value if X represents net winnings, i.e., winnings minus cost per ticket?

Accepted Answer

216.17

Answer

200.17

Answer

-216.17

Answer

127.37

Question 25

Suppose an exam has an average of 59 and a standard deviation of 11. Assume the scores are approximately normally distributed. What is the approximate exam score for which only 18% scored higher?

Accepted Answer

69.07

Answer

72.12

Answer

55.67

Answer

75.54

Question 26

Suppose you flip two coins and roll one standard six sided die. How many elements are there in the sample space?

Accepted Answer

24

Answer

12

Answer

48

Answer

36

Question 27

Suppose a restaurant finds its daily profits have a normal distribution with mean $140 and standard deviation $80. What is the probability that the restaurant loses money on any given day? That is, what is the probability that the profit is less than $0?

Accepted Answer

0.04

Answer

0.1

Answer

0.015

Answer

0.075

Question 28

What word refers to our best guess for the parameter?

Accepted Answer

Point Estimate

Answer

Confidence Interval

Answer

Confidence Level

Answer

Margin of Error

Question 29

What is the z-score that corresponds to a 99% confidence interval?

Accepted Answer

2.58

Answer

2.62

Answer

2.68

Answer

2.72

Question 30

What is the z-score that corresponds to a 96% confidence interval?

Accepted Answer

2.05

Answer

2.58

Answer

1.75

Answer

1.96

Question 31

If 1757 represents "yes" voters out of 2584, what would be our appropriate point estimate for the proportion of yes voter in the whole population?

Accepted Answer

.6799535604

Answer

.3200464396

Answer

1.96

Answer

.0091769818

Question 32

If 1757 represents "yes" voters out of 2584, what would be our appropriate standard error for the proportion of yes voter in the whole population?

Accepted Answer

.0091769818

Answer

.6799535604

Answer

.3200464396

Answer

1.96

Question 33

If 1757 represents "yes" voters out of 2584, construct a 95% confidence interval for the "yes" group.

Accepted Answer

(.662, .698)

Answer

(.302, .338)

Answer

(.305, .335)

Answer

(.665, .695)

Question 34

If 1757 represents "yes" voters out of 2584, construct a 95% confidence interval for the "no" group.

Accepted Answer

[.302,.338]

Answer

[.662,.698]

Answer

[.298,.342]

Answer

[.288,.352]

Question 35

Suppose 544 females were surveyed. It as determined that the median ideal number of children is 2, the mean is 3.09, and the standard deviation is 1.19. Find the 95% confidence interval.

Accepted Answer

[2.98,3.19]

Answer

[2.92,3.26]

Answer

[3.00,3.36]

Answer

[1.19,3.19]

Question 36

The heights of 6 plants are 54.6, 59.6, 61.6, 62.4, 64.9, and 70.6. What would be an appropriate point estimate for a population of plants to which these plants belong?

Accepted Answer

62.3

Answer

65

Answer

64.2

Answer

59.1

Question 37

If a set has a population proportion of .6 and a sample size n=6, what's the standard deviation of the sampling distribution?

Accepted Answer

.2

Answer

.3

Answer

.14

Answer

.42

Question 38

~~What is the t-score that corresponds to a 95% confidence interval with a sample size of n = 20?~~

Skip this since we didn't get to this content.

Accepted Answer

2.093

Answer

1.96

Answer

2.58

Answer

2.086

Question 39

Find the margin of error for a 95% confidence interval when the sample standard deviation equals 90 and n = 400. Recall that the margin of error is the amount you add and subtract from the point estimate when calculating a confidence interval.]

Skip this since we didn't get to this content.

Accepted Answer

8.85

Answer

8.65

Answer

7.87

Answer

9

Question 40

This statistical object contains the most plausible values for the parameter.

Accepted Answer

Confidence Interval

Answer

Confidence Level

Answer

Point Estimate

Answer

Margin of Error

Question 41

The mean and standard deviation of a population are 200 and 20, respectively, and the sample size is 25.

What is the mean of the sampling distribution?

Accepted Answer

200

Answer

16

Answer

25

Answer

4

Question 42

The mean and standard deviation of a population are 200 and 20, respectively, and the sample size is 25.

What is the standard deviation of the sampling distribution?

Accepted Answer

4

Answer

200

Answer

16

Answer

25

Question 43

The mean and standard deviation of a population are 200 and 20, respectively. Assume that the population distribution is a normal distribution. What is the probability of randomly selecting an observation less than 190?

Accepted Answer

31%

Answer

69%

Answer

42%

Answer

58%

Question 44

The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of randomly selecting a sample of 25 observations with a sample mean less than 190? [Assume that the sampling distribution is approximately normal.]

Accepted Answer

0.6%

Answer

69%

Answer

31%

Answer

99%

Question 45

A z-score tells you...

Accepted Answer

how many standard deviations away from the mean an observation lies (above, below, or at).

Answer

the standard deviation of a sampling distribution.

Answer

the original raw observation on which it is based.

Answer

if the distribution it comes from is normal.

Question 46

What is the standard deviation of the distribution if we assume that the nested areas centered about the mean are about .683, .995, and .997, respectively, and the curve is a normal distribution?

Accepted Answer

20

Answer

1010

Answer

60

Answer

1030

Question 47

Increasing the sample size of an opinion poll will reduce the

Accepted Answer

variability of the estimates made from the data collected in the poll.

Answer

bias of the estimates made from the data collected in the poll.

Answer

variability of opinions in the sample.

Answer

variability of opinions in the population.

Question 48

28% of all Woodrow students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What is the probability of getting a sample of size 50 that has 15 or more students who believe Monday will be a snow day?

Accepted Answer

0.376

Answer

Cannot be determined because the distribution of the sample proportion of samples of size 50 is not normal

Answer

0.624

Answer

0.99999

Question 49

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true.
What is the mean of the sampling distribution of p-hat?

Accepted Answer

0.4

Answer

0.44

Answer

0.56

Answer

0.6

Question 50

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true.
Calculate the standard deviation of the sampling distribution.

Accepted Answer

0.0116

Answer

0.0117

Answer

0.0118

Answer

0.0119

Question 51

At a particular college, 78% of all students are receiving some kind of financial aid. The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

Accepted Answer

78% is a parameter and 72% is a statistic

Answer

78% is a population and 72% is a sample.

Answer

72% is a population and 78% is a sample

Answer

72% is a parameter and 78% is a statistic

Question 52

Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 2 or a 4, and nothing otherwise. What is the expected amount you will win on average per roll in the long run? [Remember LOLN]

Accepted Answer

$0.00

Answer

-$1.00

Answer

$1.00

Answer

$3.00

Question 53

You pick a card from a deck. If you get a face card, you win $5. If you get an ace, you win $30 plus an extra $60 for the ace of hearts. For any other card you win nothing. Find the expected value you will win on average per card draw in the long run. [Remember LOLN.]

Accepted Answer

$4.62

Answer

$5.00

Answer

$3.85

Answer

$4.04

Question 54

Question 54.

Accepted Answer

Graph B

Answer

Graph A

Answer

Graph C

Answer

Graph D

Question 55

Question 55.

Accepted Answer

Graph C

Answer

Graph A

Answer

Graph B

Answer

Graph D

Question 56

Question 56.

Accepted Answer

Graph A

Answer

Graph B

Answer

Graph C

Answer

Graph D

Question 57

Question 57.

Accepted Answer

Graph D

Answer

Graph A

Answer

Graph B

Answer

Graph C

Question 58

Question 58.

Accepted Answer

2.031

Answer

2.872

Answer

2.862

Answer

.642

Question 59

Question 59.

Accepted Answer

2

Answer

4

Answer

25

Question 60

Question 60.

Accepted Answer

4

Answer

2

Answer

25

Question 61

Question 61.

Accepted Answer

Yes

Answer

No

Question 62

Question 62.

Accepted Answer

No

Answer

Yes

Question 63

Question 63.

Accepted Answer

All but A, B, and D

Answer

All of them

Answer

All but A

Answer

All but A and D

Question 64

The lifetime of a certain type of battery is known to be normally distributed with a standard deviation of 20 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 99% confidence interval for the mean lifetime of this type of battery.

What is the confidence interval to one decimal place?

Accepted Answer

(112.8, 127.4)

Answer

(114.5, 125.6)

Answer

(112.82, 127.38)

Answer

(114.56, 125.64)

Statistics Final Exam

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