Question 1 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. 27/66

C. 50/132

D.

82/132

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

Question 3 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 4 of 40

2.5 Points

Of 1308 people who came

into a blood bank to give blood, 314 people had high blood 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

5 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 6 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.

A. 0.384

B. 0.380

C. 0.373

D.

0.370

Question 7 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. 0.02

B. 0.05

C. 0.94

D. 0.06

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 9 of 40

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

.ashworthcollege.edu/portal/tool/2758e19f-96bc-436f-9dc5-013b7b195d05/jsf/delivery/deliverAssessment”>Reset Selection

Question 10 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

uestion 11 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 12 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. 8

B. 6

C. 5

D.

4

Question

13 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 14 of 40

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 â banana

banana – licorice stick

licorice stick – banana

banana – chocolate bar

Find the probability

that no chocolate bar was eaten.

A. 4/9

B. 5/9

C. 7/9

D. 5/8

Question 15 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 16 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

17 of 40

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 manâs expected value for the insurance policy?

A. $139,916

B. −$41

C. $84

D. −$124

Question 18 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 19 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 20 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 21 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 data

B. 64.3 inches

C. 64.9 inches

D. 63.7 inches

Question

22 of 40

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 23 of 40

2.5 Points

Which graph has two

groups of data, correlations within each group, but no correlation among all

the data?

A.

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B.

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C.

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D.

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Question

24 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.

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A. 5%

B. 10%

C. 95%

D. 90%

Question 26 of 40

2.5 Points

Which line of the three

shown in the scatter diagram below fits the data best?

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A. A

B. B

C. C

D.

All the lines are equally good

Question 27 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

28 of 40

2.5

Points

Which point below

would be an outlier if it were on the following graph?

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A.

(25, 20)

B. (5,

12)

C. (7,

5)

D. (5,

3)

Question 29 of 40

2.5 Points

Select the best fit line

on the scatter diagram below.

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A. A

B. B

C. C

D.

None of the lines is the line of best fit

Question

30 of 40

2.5

Points

The graph shows a

measure of fitness (y) and miles walked weekly. Identify the probable cause

of the correlation.

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A. The

correlation is coincidental.

B.

There is a common underlying cause of the correlation.

C.

There is no correlation between the variables.

D.

Walking is a direct cause of the fitness

Question 31 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. 0.0432

B. 0.0434

C. 0.0425

D. 0.0427

Question

32 of 40

2.5 Points

Select the best estimate

of the correlation coefficient for the data depicted in the scatter diagram.

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A. 0.60

B. -0.97

C. 0.10

D.

-0.60

Question 33 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 30.0

B. 25.0 to 27.0

C. 29.0 to 31.0

D. 27.0 to 29.0

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. 0.14

B. 0.26

C. 211

D.

0.23

Question

35 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.

0.8932

B.

0.8920

C.

0.9032

D.

0.9048

Question

36 of 40

2.5

Points

Select the best

estimate of the correlation coefficient for the data depicted in the scatter

diagram.

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A.

-0.9

B. 0.1

C. 0.5

D. 0.9

Question 37 of 40

2.5 Points

Write possible

coordinates for the single outlier such that it would no longer be an outlier.

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A. (23, 18)

B. (20, 5)

C. (15, 15)

D. (12, 15)

Question 38 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 0.3075

B. 0.2325 to 0.3075

C. 0.2325 to 0.3185

D. 0.2323 to 0.3185

Question

39 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.

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A. 8.8

B. 6.2

C. 8.2

D. None of the values are correct

Question 40 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. 274

B. 284

C. 264

D. 272