.494px;=”” block;=””>Question 1 of 17
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
Before
After 1
158
284 2
189
214 3
202
101 4
353
227 5
416
290 6
426
176 7
441
290 Perform an appropriate test of hypothesis to determine if there is evidence, at the .05 level of
significance, to support the claim that the mean bone marrow microvessel density is higher
before the stem cell transplant than after the stem cell transplant? What is the value of the sample
test statistic? A. p = 2.7234 B. t = 1.8424 C. t = 2.7234 D. z = 1.8424 Question 2 of 17
A pharmaceutical company is testing the effectiveness of a new drug for lowering cholesterol. As
part of this trial, they wish to determine whether there is a difference between the effectiveness
for women and for men. Assume ? = 0.05. What is the test value?
Women Men Sample size 50 80 Mean effect 7 6.95 Sample variance 3 4 A. t = 0.151 B. z = 0.455 C. t = 3.252 D. z = 0.081 Question 3 of 17 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 Part 2 of 8 Question 4 of 17
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. unknown C. 5 D. 0 Question 5 of 17
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. 25% B. 80% C. 50% D. 20% Question 6 of 17
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. 20.25 B. 49.00 C. 16.00 D. 94.25 Question 7 of 17
In a simple linear regression analysis, the following sum of squares are produced:
= 400
= 80
= 320
The proportion of the variation in Y that is explained by the variation in X is: A. 20% B. 50% C. 25% D. 80% Question 8 of 17
A single variable X can explain a large percentage of the variation in some other variable Y when
the two variables are: A. mutually exclusive B. inversely related C. highly correlated D. directly related Part 3 of 8 Question 9 of 17
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a
certain area. The following are the results of his random sampling. Can he conclude, at the 0.10
level of significance, that the average trunk diameter of a pine tree is greater than the average
diameter of a spruce tree?
Pine trees Spruce trees Sample size 25 35 Mean trunk diameter (cm) 55 48 Sample variance 100 140 What is the test value for this hypothesis test?
Test value: Round your answer to three decimal places. What is the critical value?
Critical value: Round your answer to three decimal places. Part 4 of 8 Question 10 of 17
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 11 of 17
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 file ILE_and_DLH.xlsx
Treating ILE as the response variable, use regression to fit a straight line to all 18 data points.
Based on your results, If direct labor hours (DLH) increases by one hour, the indirect labor expense (ILE), on
average, increases by approximately how much?
Place your answer, rounded to 2 decimal places, in the blank. Do not use any stray punctuation marks or a dollar
sign. For example, 34.56 would be a legitimate entry. Part 5 of 8 Question 12 of 17
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 13 of 17
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/are the critical value you would use to conduct such a test of hypothesis?
Place your answer, rounded to 2 decimal places, in the blank. If there are two critical values,
place only the positive value in the blank. For example, 2.34 would be a legitimate
entry. Part 6 of 8 Question 14 of 17
A special coating is applied to several scale model engine nacelle body shapes to determine if it
reduces the drag coefficient. The following data are the drag coefficient before the coating is
applied and after.
Model
Before
After #1
0.782
0.668 #2
0.656
0.581 #3
0.541
0.532 #4
0.250
0.241 #5
0.323
0.334 #6
0.888
0.891 Perform a hypothesis test to determine if there is evidence at the 0.05 level of significance to
support the claim that the coating reduces the drag coefficient.
What is the test value for this hypothesis test?
Answer: Round your answer to two decimal places. What is the P-value for this hypothesis test? Answer: Round your answer to three decimal places. What is your conclusion for this test? Choose one.
1. There is sufficient evidence to show the coating reduces the drag coefficient.
2. There is not sufficient evidence to show that the coating reduces the drag coefficient.
3. There is sufficient evidence to show that the drag coefficient changed after the coating was
applied.
4. There is sufficient evidence to show that the drag coefficient increased after the coating was
applied.
Answer: Enter only a 1, 2, 3 or 4 for your answer. Part 7 of 8 Question 15 of 17
The number of degrees of freedom associated with the t-test, when the data are gathered from a
paired samples experiment with 12 pairs, is 24.
True
Fals
e Part 8 of 8 Question 16 of 17
In a simple regression analysis, if the standard error of estimate s = 15 and the number of
observations n = 10, then the sum of the residuals squared must be 120.
est True
Fals
e Question 17 of 17
In a simple linear regression problem, the least squares line is y’ = -3.2 + 1.3X, and the
coefficient of determination is 0.7225. The coefficient of correlation must be –0.85.
True
Fals
e
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