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
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Question 2 of 23
1.0 Points
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
A
B
C
D
1
41
20
12
16
2
31
11
9
14
3
15
17
16
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.
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Part 2
of 16 -
Question 3 of 23
1.0 Points
Outliers
are observations that
A.disrupt
the entire linear trend
B.render
the study useless
C.lie
outside the sample
D.lie
outside the typical pattern of points
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Question 4 of 23
1.0 Points
If an
estimated regression line has a Y-intercept of –7.5 and a slope of 2.5,
then when X = 3, the actual value of Y is:
A.10
B.0
C.unknown
D.5
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Question 5 of 23
1.0 Points
Data for a sample of 25 apartments in a particular neighborhood are
provided in the worksheet Apartments in the Excel workbook Apartments.xlsx.
Using that data, find the estimated regression equation which can be
used to estimate the monthly rent for apartments in this neighborhood using
size as the predictor variable.
Apartments.xlsx
A.177.12 + 0.8500(size)
B.1.065 + 177.12(size)
C. 177.12 + 1.065(size)
D.197.12 + 2.065(size)
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Part 3
of 16 -
Question 6 of 23
1.0 Points
Two
teams of workers assemble automobile engines at a manufacturing plant in
Michigan. A random sample of 145 assemblies from team 1 shows 15
unacceptable assemblies. A similar random sample of 125 assemblies from
team 2 shows 8 unacceptable assemblies.
Is there sufficient evidence to conclude, at the 10% significance level,
that the two teams differ with respect to their proportions of unacceptable
assemblies?
A.No,
since the p-value is less than 0.10
B.No,
since the test value exceeds the critical value
C.No,
since the test value does not exceed the critical value
D.Yes,
since the p-value is greater than 0.10
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Question 7 of 23
1.0 Points
Multiple
myeloma or blood plasma cancer is characterized by increased blood vessel
formulation in the bone marrow that is a prognostic factor in
survival. One treatment approach used for multiple myeloma is stem
cell transplantation with the patient’s own stem cells. The following
data represent the bone marrow microvessel density for a sample of 7
patients who had a complete response to a stem cell transplant as measured
by blood and urine tests. Two measurements were taken: the first
immediately prior to the stem cell transplant, and the second at the time
of the complete response.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
Suppose you wanted to conduct a test of hypothesis to determine
if there is sufficient evidence to conclude that the mean bone
marrow microvessel density is higher before the stem cell transplant than
after the stem cell transplant? What is the p-value associated
with the test of hypothesis you would conduct?
A.p
= .057493
B.p
= .942597
C.p
= .885014
D.p
= .114986
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Part 4
of 16 -
Question 8 of 23
1.0 Points
A
two-tailed test is one where:
A.negative
sample means lead to rejection of the null hypothesis
B.results
in only one direction can lead to rejection of the null hypothesis
C.no
results lead to the rejection of the null hypothesis
D.results
in either of two directions can lead to rejection of the null hypothesis
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Question 9 of 23
1.0 Points
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
H0. 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 stays the same
B.The
p – value may increase or decrease
C.The
p – value decreases
D.The
p – value increases
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Question 10 of 23
1.0 Points
A type
II error occurs when:
A.the
null hypothesis is incorrectly accepted when it is false
B.the
sample mean differs from the population mean
C.the
null hypothesis is incorrectly rejected when it is true
D.the
test is biased
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Part 5
of 16 -
Question 11 of 23
1.0 Points
In
constructing a confidence interval estimate for a population mean, when we
replace with the sample standard
deviation (s), we introduce a new source of variability and the sampling
distribution we use is:
A.F-
distribution
B.the
normal distribution
C.chi-square
distribution
D.t
-distribution
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Question 12 of 23
1.0 Points
If you
are constructing a confidence interval for a single mean, the confidence
interval will___________ with an increase in the sample size.
A.increase
B.decrease
C.stay
the same
D.increase
or decrease, depending on the sample data
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Part 6
of 16 -
Question 13 of 23
1.0 Points
The
standard normal distribution has a mean of ___ and standard deviation of
___, respectively.
A.1
and 1
B.0
and 0
C.0
and 1
D.1
and 0
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Part 7
of 16 -
Question 14 of 23
1.0 Points
One of
the requirements for a binomial experiment is that there must be a(n) _____
number of trials.
A.infinite
B.fixed
C.odd
D.random
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Part 8
of 16 -
Question 15 of 23
1.0 Points
If 25
tickets are sold and 2 prizes are to be awarded, find the probability that
one person will win both prizes if that person buys exactly 2 tickets.
A.1/600
B.1/700
C.1/2300
D.1/300
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Part 9
of 16 -
Question 16 of 23
3.0 Points
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
Basketball
Football
Soccer
Men
20
25
30
75
Women
18
12
15
45
38
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. Thereis
sufficient evidence to support the claim that one's sport preference is
dependent on one's gender.
2. Thereis 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
1.0 Points
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 company has observed that there is a linear relationship between indirect
labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for
direct labor hours and indirect labor expense for 18 months are given in
the fileILE_and_DLH.xlsx
Treating ILE as the response
variable, use regression to fit a straight line to all 18 data
points. What values for the intercept (a) and slope
(b) do you obtain?
Place your answers, rounded to 3 decimal places, in the blanks
provided. Do not use any stray punctuation marks. For
example, 34.567 would be a legitimate entry.
intercept (a) =
slope(b) =
Part
11 of 16 -
Question 18 of 23
1.0 Points
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.
Two teams of workers assemble automobile engines at a manufacturing plant
in Michigan. A random sample of 145 assemblies from team 1 shows 15
unacceptable assemblies. A similar random sample of 125 assemblies from
team 2 shows 8 unacceptable assemblies.
If you are interested in determining if there is sufficient evidence to
conclude, at the 10% significance level, that the two teams differ with
respect to their proportions of unacceptable assemblies, what is the test
value you would use to conduct such a test of hypothesis?
Place your answer, rounded to 2 decimal places, in the blank. For example,
2.34 would be a legitimate entry.
Part
12 of 16 -
Question 19 of 23
1.0 Points
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.
In a particular region of Cape
Cod, it is known that lobstermen trap on average of 32 pounds of lobster
per day with a standard deviation of four pounds. If a random sample of 30
lobster fishermen is selected, what is the probability that their average
catch is less than 31.5 pounds?
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.
Part
13 of 16 -
Question 20 of 23
1.0 Points
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 personnel department of a large corporation wants to estimate the
family dental expenses of its employees to determine the feasibility of
providing a dental insurance plan. A random sample of 12 employees reveals
the following family dental expenses (in dollars): 115, 370, 250, 593, 540,
225, 177, 425, 318, 182, 275, and 228.
Construct a 99% confidence interval estimate for the standard deviation of
family dental expenses for all employees of this corporation.
Place your LOWER limit, in dollars rounded to 1 decimal place, in the first
blank. Do not use a dollar sign, a comma, or any other stray mark. For
example, 98.4 would be a legitimate entry.
Place your UPPER limit, in dollars rounded to 1 decimal place, in the
second blank. Do not use a dollar sign, a comma, or any other stray mark.
For example, 567.8 would be a legitimate entry.
Part
14 of 16 -
Question 21 of 23
1.0 Points
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.
In a survey, 55% of the voters support a particular referendum. If 40
voters are chosen at random, and X is the number of voters that support
this referendum, find the mean and variance of X. Place the mean in the
first blank and
place the variance in the second blank.
Part
15 of 16 -
Question 22 of 23
1.0 Points
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 survey determines that mint chocolate chip is the favorite ice cream
flavor of 6% of consumers. An ice cream shop determines that of 260
customers, 20 customers stated their preference for mint chocolate
chip.
Find the P-value that would be used to determine if the percentage of
customers who prefer mint chocolate chip ice has increased at a 5% level of
significance.
P-value: Round
your answer to four decimal places as necessary.
Part
16 of 16 -
Question 23 of 23
1.0 Points
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.
If a set of six books is to be placed on a shelf, in how many ways can the
six books be arranged? Place your answer in the blank. Do not use any
decimal places or commas. For example, 45 would be a legitimate
entry.
Solution: Statstics questions