2023 Question 1 of 23 The data presented in the table below resulted from an experiment | Assignments Online

Question 1 of 23
The data presented in the table below resulted from an experiment in which seeds of 5 different types were
planted and the number of seeds that germinated within 5 weeks after planting was recorded for each
seed type. At the .01 level of significance, is the proportion of seeds that germinate dependent on the
seed type?
Seed Type

Observed Frequencies
Germinated

Failed to Germinate

1

31

7

2

57

33

3

87

60

4

52

44

5

10

19

A.Yes, because the test value 16.86 is greater than the critical value of 13.28
B.Yes, because the test value 16.86 is less than the critical value of 14.86
C.No, because the test value 16.86 is greater than the critical value of 13.28
D.No, because the test value 13.28 is less than the critical value of 16.86

Question 2 of 23
A company operates four machines during three shifts each day. From production records, the data in the
table below were collected. At the .05 level of significance test to determine if the number of breakdowns
is independent of the shift.
Machine
Shift
1
2
3

A
41
31
15

B
20
11
17

C
12
9
16

D
16
14
10

A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the
critical value of 12.592.
B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the
test value 11.649 is less than the critical value of 12.592.
C.The number of breakdowns is dependent on the shift, because the p-value is .07.
D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than
the critical value of 11.649.

Question 3 of 23
The regression line y’ = -3 + 2.5 X has been fitted to the data points (28, 60), (20, 50), (10, 18), and (25,
55). The sum of the squared residuals will be:
A.94.25
B.20.25
C.49.00
D.16.00

Question 4 of 23
In a simple linear regression analysis, the following sum of squares are produced:

= 500

= 100

= 400
The proportion of the variation in Y that is explained by the variation in X is:
A.50%
B.80%
C.20%
D.25%

Question 5 of 23
A correlation value of zero indicates.
A.no linear relationship
B.a strong linear relationship
C.a perfect linear relationship
D.a weak linear relationship

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Question 6 of 23

Serum ferritin is used in diagnosing iron deficiency. In a study conducted recently
researchers discovered that in a sample of 28 elderly men the sample standard
deviation of serum ferritin was 52.6 mg/L. For 26 younger men the sample standard
deviation was 84.2 mg/L. At the .01 level of significance, do these data support the
conclusion that the ferritin distribution in elderly men has a smaller variance than in
younger men?
A.Yes, because the test value 2.56 is greater than the critical value 0.394
B.Yes, because the test value 2.56 is greater than the critical value of 2.54
C.No, because the test value 1.60 is less than the critical value of 2.54
D.Yes, because the test value 0.390 is less than the critical value 2.54

Question 7 of 23
Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount
of money spent by its female charge customers differs, on average, from the amount spent by its male
charge customers.
To answer this question, an analyst collected random samples of 25 female customers and 22 male
customers. Based on these samples, on average, the 25 women charge customers spent $102.23 and
the 22 men charge customers spent $86.46. Moreover, the sample standard deviation of the amount
charged by the 25 women was $93.393, and the sample standard deviation of the amount charged by the
22 men was $59.695.
Using the procedure advocated by Bluman, at the 10% level of significance, is there sufficient evidence for
Q-Mart to conclude that, on average, the amount spent by women charge customers differs from the
amount spent by men charge customers.
A.No, the test value does not exceed the critical value.
B.Yes, the test value does not exceed the critical value
C.Yes, the p-value of this test is greater than 0.10
D.No, the p-value of this test is less than 0.10.

Question 8 of 23

A lab technician is tested for her consistency by taking multiple measurements of

cholesterol levels from the same blood sample. The target accuracy is a variance in
measurements of 1.2 or less. If the lab technician takes 16 measurements and the
variance of the measurements in the sample is 2.2, does this provide enough evidence
to reject the claim that the lab technician’s accuracy is within the target accuracy?
Compute the value of the appropriate test statistic.
A.

= 27.50

B.
= 30.58
C.t = 27.50
D.z = 1.65

Question 9 of 23
Smaller p-values indicate more evidence in support of the:
A.the reduction of variance
B.alternative hypothesis
C.quality of the researcher
D.null hypothesis

Question 10 of 23
You conduct a hypothesis test and you observe values for the sample mean and sample standard
deviation when n = 25 that do not lead to the rejection of H 0. You calculate a p-value of 0.0667. What will
happen to the p-value if you observe the same sample mean and standard deviation for a sample size
larger than 25?
A.The p – value decreases
B.The p – value stays the same
C.The p – value increases
D.The p – value may increase or decrease

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Question 11 of 23
The average gas mileage of a certain model car is 26 miles per gallon. If the gas mileages are normally
distributed with a standard deviation of 1.3, find the probability that a randomly selected car of this model
has a gas mileage between 25.8 and 26.3 miles per gallon.

A.0.15
B.0.85
C.0.70
D.0.30

Question 12 of 23
In a study of elephants a researcher wishes to determine the average weight of a certain subspecies of
elephants. From previous studies, the standard deviation of the weights of elephants in this subspecies is
known to be 1500 pounds. How many elephants does the researcher need to weigh so that he can be
80% confident that the average weight of elephants in his sample is within 350 pounds of the true average
weight for this subspecies?
A.39
B.31
C.50
D.166

Question 13 of 23
The standard deviation of

is usually called the

A.standard error of the sample
B.randomized standard error
C.standard error of the population
D.standard error of the mean

Question 14 of 23
In one town 33% of the households have a vehicle with all-wheel drive. If 4 households are selected at
random, what is the probability that all 4 have vehicles with all-wheel drive?
A.0.0119
B.0.33
C.0.0825
D.0.4662

Question 15 of 23
The probability of an event and the probability of its complement always sum to:
A.0
B.1.0
C.any positive value
D.any value between 0 and 1

Question 16 of 23
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces
(e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation,
a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A sport preference poll yielded the following data for men and women. Use a 5% significance level and
test to determine if sport preference and gender are independent.
Sport Preferences of Men and
Women
Bask Footb Socc
etball
Men 20
Wom
18
en
38

all
25

er
30

75

12

15

45

37

45

120

What is the test value for this hypothesis test?
Answer: Round your answer to two decimal places.
What is the critical value for this hypothesis test?

Answer: Round your answer to two decimal places.
What is the conclusion for this hypothesis test? Choose one.
1. There is sufficient evidence to support the claim that one’s sport preference is dependent on one’s
gender.
2. There is not sufficient evidence to support the claim that one’s sport preference is dependent on one’s
gender.
Answer: Enter only a 1 or 2 for your answer.

Part 10 of 16 –

Question 17 of 23
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces
(e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation,
a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
The marketing manager of a large supermarket chain would like to determine the effect of shelf space (in
feet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal –
sized stores is selected, with the following results:
Store
1
2
3
4
5
6
7
8
9
10
11
12

Shelf Space(X)
10
10
10
15
15
15
20
20
20
25
25
25

Weekly Sales(Y)
2.0
2.6
1.8
2.3
2.8
3.0
2.7
3.1
3.2
3.0
3.3
3.5

Using the equation of the regression line for these data, predict the average weekly sales (in hundreds of
dollars) of international food for stores with 13 feet of shelf space for international food.
Place your answer, rounded to 3 decimal places , in the blank. Do not use a dollar sign. For example,
2.345 would be a legitimate entry.

Question 18 of 23
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces
(e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation,
a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Are America’s top chief executive officers (CEOs) really worth all that money? One way to answer this
question is to look at the annual company percentage increase in revenue versus the CEO’s annual
percentage salary increase in that same company. Suppose that a random sample of companies yielded
the following data:
percent change for corporation
percent change for CEO

15 12 3 12 28 6 8 2
6 17 -4 12 32 -1 7 2

Do these data indicate that the population mean percentage increase in corporate revenue is greater than
the population mean percentage increase in CEO salary? Use a 5% level of significance. What is the test
value that you would use to conduct this test of hypothesis? Place your answer, rounded to 3 decimal
places, in the blank. For example, 2.345 would be a legitimate entry.

Question 19 of 23
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces
(e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation,

a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Mrs. Smith’s reading class can read a mean of 175 words per minute with a standard
deviation of 20 words per minute. The top 3% of the class is to receive a special award.
Assuming that the distribution of words read per minute are normally distributed, what is
the minimum number of words per minute a student would have to read in order to get
the award? Place your answer, rounded to the nearest whole number, in the blank.
When entering your answer do not use any labels or symbols. Simply provide the
numerical value. For example, 123 would be a legitimate entry.

Question 20 of 23
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces
(e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation,
a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Assume 50 random samples of the same sample size are taken from a population, and a 90% confidence
interval is constructed from each sample. How many of the intervals would you expect to contain the true
population mean?
Answer: Round your answer to a whole number value as necessary. For example, 37 would be a
legitimate entry.

Question 21 of 23
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces
(e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation,
a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The annual returns, in percentages, on stocks A and B for three possible states of the economy are given
in the table below.
Economy State

Probability

StockA

StockB

Good

0.5

40

20

Average

0.3

20

40

Bad

0.2

10

8

If one invested in StockA, what would be the expected annual percentage return? Place
your answer, in percent, in the blank. For example, an expected 10 percent return would
be recorded as 10. Do not use a percent sign.

Question 22 of 23
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces
(e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation,
a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A medical doctor wishes to test the claim that the standard deviation of the systolic blood pressure of deep
sea divers is less than 450. To do so, she selected a random sample of 20 divers and found s = 432.
Assuming that the systolic blood pressures of deep sea divers are normally distributed, if the doctor
wanted to test her research hypothesis at the .01 level of significance, what is the critical value?
Place your answer, rounded to 3 decimal places, in the blank. For example, 4.567 would be a legitimate
entry.

Question 23 of 23
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces
(e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation,
a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
At a certain college, there were 600 science majors, 200 engineering majors, and 500 business majors. If a
student is selected at random, what is the probability that the student is an engineering major?
Place your answer, rounded to four decimal places, in the blank. When entering your answer do not use
any labels or symbols other than a decimal point. Simply provide the numerical value. For example,
0.1234 would be a legitimate entry.