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Brase & Brase-Understandable Statistics (AP) 12/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 19 / 51

Due : Sunday, January 27, 2030 23:30 EST

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7 8 9
1/15 2/3 0/1 –/4 –/8 4/4 8/10 3/5 1/1
Total
19/51 (37.3%)

  • Instructions

    Understandable Statistics: Concepts and Methods (AP edition), 12th edition, by Brase and Brase and published by Cengage Learning is a thorough yet accessible program designed to help readers overcome their apprehensions about statistics. To reinforce this approach, and make the material interesting as well as easier to understand, the book integrates real-life data from a variety of sources, including journals, periodicals, newspapers, and the Internet.

    The WebAssign component for this title has an eBook, Tutorials, and Reading Links for the students. The instructor will enjoy additional textbook resources and Fast Track to a Five materials as well as Course Packs to help make creating homework assignments fast and easy.

    Question 1 showcases the ability to grade stem-and-leaf plots.

    Question 2 is an example of how box-and-whisker plots are graded.

    Question 3 requires the student to select all correct answers simultaneously.

    Question 4 includes examples of how histogram plots are graded. Students can use SALT to answer this question.

    Question 5 utilizes algebraic mode in the last portion of part (a). The student will be graded as correct if they enter a mathematically correct response using the mathPad.

    Question 6 provides an example of one method of grading equations.

    Question 7 is a multi-part question involving hypothesis testing. This sort of question is very common for this title.

    Question 8 showcases the ability to grade student responses using fill-in-the-blank sentences. Grading the answers this way avoids essay mode while still requiring the student to demonstrate that the key points are understood. Students can use SALT to answer this question.

    Question 9 includes a Watch-It. Students can use SALT to answer this question. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

    The answer key and solutions will display after the first submission for demonstration purposes. Instructors can configure these to display after the due date or after a specified number of submissions.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 1/15 points  |  Previous Answers BBUnderStat12HS 2.3.003. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 1/1
1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100
Total
1/15
 
The American Medical Association Center for Health Policy Research included data, by state, on the number of community hospitals and the average patient stay (in days) in its publication State Health Care Data: Utilization, Spending, and Characteristics. The data (by state) are shown in the table.
State No. of
Hospitals		 Average
Length
of Stay		 State No. of
Hospitals		 Average
Length
of Stay		 State No. of
Hospitals		 Average
Length
of Stay
Alabama
Alaska
Arizona
Arkansas
California
Colorado
Connecticut
Delaware
D.C.
Florida
Georgia
Hawaii
Idaho
Illinois
Indiana
Iowa
Kansas		 119
16
61
88
440
71
35
8
11
227
162
19
41
209
113
123
133		 7.0
5.7
5.5
7.0
6.0
6.8
7.4
6.8
7.5
7.0
7.2
9.4
7.1
7.3
6.6
8.4
7.8		 Kentucky
Louisiana
Maine
Maryland
Massachusetts
Michigan
Minnesota
Mississippi
Missouri
Montana
Nebraska
Nevada
New Hampshire
New Jersey
New Mexico
New York
N. Carolina		 107
136
38
51
101
175
148
102
133
53
90
21
27
96
37
231
117		 6.9
6.7
7.2
6.8
7.0
7.3
8.7
7.2
7.4
10.0
9.6
6.4
7.0
7.6
5.5
9.9
7.3		 N. Dakota
Ohio
Oklahoma
Oregon
Pennsylvania
Rhode Island
S. Carolina
S. Dakota
Tennessee
Texas
Utah
Vermont
Virginia
Washington
W. Virginia
Wisconsin
Wyoming		 47
193
113
66
236
12
68
52
122
421
42
15
98
92
59
129
27		 11.1
6.6
6.7
5.3
7.5
6.9
7.1
10.3
6.8
6.2
5.2
7.6
7.0
5.6
7.1
7.3
8.5
Make a stem-and-leaf display of the data for the average length of stay in days. (Use the digit(s) to the left of the decimal point as the stem and the digit to the right as the leaf. Enter NONE in any unused answer blanks.)
Average Length of Hospital Stay
Incorrect: Your answer is incorrect. seenKey

5
Incorrect: Your answer is incorrect. seenKey

6
Incorrect: Your answer is incorrect. seenKey

7
Incorrect: Your answer is incorrect. seenKey

8
Incorrect: Your answer is incorrect. seenKey

9
Incorrect: Your answer is incorrect. seenKey

10
Incorrect: Your answer is incorrect. seenKey

11

 		Incorrect: Your answer is incorrect. seenKey

235567
Incorrect: Your answer is incorrect. seenKey

0246677888899
Incorrect: Your answer is incorrect. seenKey

00000011122233334455668
Incorrect: Your answer is incorrect. seenKey

457
Incorrect: Your answer is incorrect. seenKey

469
Incorrect: Your answer is incorrect. seenKey

03
Incorrect: Your answer is incorrect. seenKey

1
Comment about the general shape of the distribution.
     Correct: Your answer is correct.

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2. 2/3 points  |  Previous Answers BBUnderStat12HS 3.3.009. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 –/1 1/1
2/100 0/100 1/100
Total
2/3
 
What percentage of the general U.S. population have bachelor's degrees? The Statistical Abstract of the United States, 120th Edition, gives the percentage of bachelor's degrees by state. For convenience, the data are sorted in increasing order.
17 18 18 18 19 20 20 20 21 21
21 21 22 22 22 22 22 22 23 23
24 24 24 24 24 24 24 24 25 26
26 26 26 26 26 27 27 27 27 27
28 28 29 31 31 32 32 34 35 38
(a) Select the box-and-whisker plot.

Correct: Your answer is correct.
(b) Find the interquartile range.
IQR =

(c) Illinois has a bachelor's degree percentage rate of about 26%. Into what quarter does this rate fall?
     Correct: Your answer is correct.

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3. 0/1 points  |  Previous Answers BBUnderStat12HS 4.1.001. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
List three methods of assigning probabilities. (Select all that apply.)
Incorrect: Your answer is incorrect.

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4. –/4 points BBUnderStat12HS 5.3.013.S. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100
Total
–/4
 
A company is in the business of finding addresses of long-lost friends. The company claims to have a 70% success rate. Suppose that you have the names of seven friends for whom you have no addresses and decide to use the company to track them.
A button hyperlink to the SALT program that reads: Use SALT.
(a) Make a histogram showing the probability of r = 0 to 7 friends for whom an address will be found.


(b) Find the mean and standard deviation of this probability distribution. What is the expected number of friends for whom addresses will be found? (Round your standard deviation to two decimal places.)
μ = friends
σ = friends

(c) What is the smallest number of names would you have to submit to be at least 96% sure that at least two addresses will be found? (Enter your answer as a whole number.)
names

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5. –/8 points BBUnderStat12HS 5.4.014.MI. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8
–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100
Total
–/8
 
At Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 1.7. Suppose you are going to dig up and examine 40 liters of sediment at this site. Let r = 0, 1, 2, 3, … be a random variable that represents the number of prehistoric artifacts found in your 40 liters of sediment.
(a)
Explain why the Poisson distribution would be a good choice for the probability distribution of r.
    
What is λ?
Write out the formula for the probability distribution of the random variable r. (Use e, λ, and r in your answer.)
P(r) =
(b)
Compute the probabilities that in your 40 liters of sediment you will find two prehistoric artifacts, three prehistoric artifacts, and four prehistoric artifacts. (Round your answers to four decimal places.)
P(2) = P(3) = P(4) =
(c)
Find the probability that you will find three or more prehistoric artifacts in the 40 liters of sediment. (Round your answer to four decimal places.)
(d)
Find the probability that you will find fewer than three prehistoric artifacts in the 40 liters of sediment. (Round your answer to four decimal places.)

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6. 4/4 points  |  Previous Answers BBUnderStat12HS 9.2.006. My Notes
Question Part
Points
Submissions Used
1 2 3 4
1/1 1/1 1/1 1/1
1/100 1/100 1/100 1/100
Total
4/4
 
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr).
Predictor Coef SE Coef T P
Constant 0.8408 0.4148 2.06 0.84
Weight 0.38891 0.02978 13.52 0.000
S = 0.517508 R-Sq = 96.0%
(a) Write out the least-squares equation.
y hat = Correct: Your answer is correct. seenKey

0.8408

 		+ Correct: Your answer is correct. seenKey

0.38891

 x

(b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)
Correct: Your answer is correct. seenKey

0.38891

(c) What is the value of the correlation coefficient r? (Use 3 decimal places.)
Correct: Your answer is correct. seenKey

0.980

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7. 8/10 points  |  Previous Answers BBUnderStat12HS 9.3.005. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10
1/1 1/1 1/1 1/1 1/1 1/1 0/1 1/1 1/1 0/1
1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100
Total
8/10
 
Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. An archaeological study provides data relating x = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data.
Predictor Coef SE Coef T P
Constant -0.197 2.429 -0.09 0.929
Diameter 0.7770 0.1471 4.11 0.002

S  =  4.07980       R-Sq  =  70.7%
(a) Minitab calls the explanatory variable the predictor variable. Which is the predictor variable, the diameter of the pot or the height?
     Correct: Your answer is correct.

(b) For the least-squares line ŷ = a + bx, what is the value of the constant a? What is the value of the slope b? (Note: The slope is the coefficient of the predictor variable.) Write the equation of the least-squares line.
a = Correct: Your answer is correct. seenKey

-0.197
b = Correct: Your answer is correct. seenKey

0.777
ŷ = Correct: Your answer is correct. seenKey

-0.197

 + Correct: Your answer is correct. seenKey

0.777

 x

(c) The P-value for a two-tailed test corresponding to each coefficient is listed under P. The t value corresponding to the coefficient is listed under T. What is the P-value of the slope?
Correct: Your answer is correct. seenKey

0.002

What are the hypotheses for a two-tailed test of β = 0?
     Incorrect: Your answer is incorrect.

Based on the P-value in the printout, do we reject or fail to reject the null hypothesis for α = 0.01?
     Correct: Your answer is correct.

(d) Recall that the t value and resulting P-value of the slope b equal the t value and resulting P-value of the corresponding correlation coefficient r. To find the value of the sample correlation coefficient r, take the square root of the "R-Sq" value shown in the display. What is the value of r? (Round your answer to three decimal places.)
Correct: Your answer is correct. seenKey

0.841

Consider a two-tailed test for r. Based on the P-value shown in the Minitab display, is the correlation coefficient significant at the 1% level of significance?
    

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8. 3/5 points  |  Previous Answers BBUnderStat12HS 10.6.003.S. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
1/1 0/1 0/1 1/1 1/1
1/100 1/100 1/100 1/100 1/100
Total
3/5
 
For a study regarding mean cadence, two-way ANOVA was used. The two factors were walking device (none, standard walker, rolling walker) and dual task (being required to respond vocally to a signal or no dual task required). Results of two-way ANOVA showed that there was no evidence of interaction between the factors. However, according to the article, "the ANOVA conducted on the cadence data revealed a main effect of walking device." When the hypothesis regarding no difference in mean cadence according to which, if any, walking device was used, the sample F was 30.94, with d.f.N = 2 and d.f.D = 18. Further, the P-value for the result was reported to be less than 0.001. From this information, what is the conclusion regarding any difference in mean cadence according to the factor "walking device used"?

A button hyperlink to the SALT program that reads: Use SALT.
Since the P value is less than 0.001, there Correct: Your answer is correct. seenKey

is

 a significant difference in mean cadence according to the factor walking device used. The critical value is F0.001 = Incorrect: Your answer is incorrect. seenKey

10.39

 . Since the sample F = 30.94 is Incorrect: Your answer is incorrect. seenKey

greater than

 than F0.001, F Correct: Your answer is correct. seenKey

lies

 in the critical region, and we Correct: Your answer is correct. seenKey

reject

 H0.

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9. 1/1 points  |  Previous Answers BBUnderStat12HS 6.2.016.S. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)
A button hyperlink to the SALT program that reads: Use SALT.
The area to the left of
z = −0.45
 is Correct: Your answer is correct. seenKey

0.3264

 .

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