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Mendenhall et al-Intro Prob & Stats Canadian 4/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 16 / 43

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
2/5 4/4 3/3 3/3 4/4 –/4 –/5 –/2 –/13
Total
16/43 (37.2%)

  • Instructions

    In the technologically advanced world of today, we encounter data and statistics daily. From news outlets to retail to social media, it is becoming ever more important to understand statistics and how they are used. Introduction to Probability and Statistics is written to help "train your brain" for statistical thinking and understanding, a theme central to this 4th Canadian edition. This text contains full coverage of descriptive and inferential statistics while taking a user-friendly approach to help students practice, understand and connect to statistical thinking. The 4th Canadian edition aims to bolster student success with exercises that encourage students to use the breadth of their knowledge and develop strong conceptual foundations. Distinctly Canadian and engaging examples and data, such as that from social media, make Introduction to Probability and Statistics relevant and modern for today's Canadian students and instructors. The WebAssign component for this title engages students with immediate feedback on randomized end-of-section exercises with question-level links to the appropriate section of a complete interactive eBook, and includes a test bank of multiple-choice questions.

    Question 1 demonstrates how multiple grading methods are used to assess information about a relative frequency histogram that needs to be graphed from randomized data provided to the student.

    Question 2 is an excellent example of how dotplots can be graded in the application.

    Question 3 shows that probability calculations can be automatically graded.

    Question 4 features grading for rounded numerical answers.

    Question 5 uses a link that directs students to a statistics tool that calculated values from various distributions. There is also another link for the textbook distribution tables.

    Questions 6 and 7 both demonstrate the process of hypotheses tests, each using two different methods to form a conclusion about the given information.

    Question 8 features data from a real-world scenario to use for calculating a confidence interval.

    Question 9 is an excellent example showing that students can enter values that are automatically graded into an ANOVA table. 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.

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. 2/5 points  |  Previous Answers MendStatC4 1.E.021. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
1/1 0/1 0/1 0/1 1/1
4/100 3/100 3/100 3/100 2/100
Total
2/5
 
A discrete variable can take on only the values 0, 1, or 2. A set of 20 measurements on this variable is shown here.
0     1     1     1     1
2 0 0 2 0
2     2     1     0     1
1 2 0 2 1
(a) Construct a relative frequency histogram for the data.

Correct: Your answer is correct.

(b) What proportion of the measurements are greater than 1?
Incorrect: Your answer is incorrect. seenKey

3/10

(c) What proportion of the measurements are less than 2?
Incorrect: Your answer is incorrect. seenKey

7/10

(d) If a measurement is selected at random from the 20 measurements shown, what is the probability that it is a 2?
Incorrect: Your answer is incorrect. seenKey

3/10

(e) Describe the shape of the distribution. Do you see any outliers?
     Correct: Your answer is correct.
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2. 4/4 points  |  Previous Answers MendStatC4 2.E.002. My Notes
Question Part
Points
Submissions Used
1 2 3 4
1/1 1/1 1/1 1/1
1/100 2/100 2/100 2/100
Total
4/4
 
You are given
n = 8
 measurements: 2, 1, 4, 5, 3, 3, 2, 4.
(a) Find
x.

x =


(b) Find m.
m = Correct: Your answer is correct. seenKey

3


(c) Based on the results of parts (a) and (b), are the measurements symmetric or skewed?
     Correct: Your answer is correct.

Draw a dotplot to confirm your answer.

Correct: Your answer is correct.
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3. 3/3 points  |  Previous Answers MendStatC4 4.E.009. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 1/1 1/1
1/100 1/100 1/100
Total
3/3
 
A survey classified a large number of adults according to whether they were judged to need eyeglasses to correct their reading vision and whether they used eyeglasses when reading. The proportions falling into the four categories are shown in the table. (Note that a small proportion, 0.03, of adults used eyeglasses when in fact they were judged not to need them.)
Used Eyeglasses
for Reading
Judged to Need
Eyeglasses 		Yes No
Yes 0.43 0.13
No 0.03 0.41
If a single adult is selected from this large group, find the probability of each event.
(a)
The adult is judged to need eyeglasses.
Correct: Your answer is correct. seenKey

0.56
(b)
The adult needs eyeglasses for reading but does not use them.
Correct: Your answer is correct. seenKey

0.13
(c)
The adult uses eyeglasses for reading whether he or she needs them or not.
Correct: Your answer is correct. seenKey

0.46
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4. 3/3 points  |  Previous Answers MendStatC4 5.E.049. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 1/1 1/1
1/100 1/100 1/100
Total
3/3
 
Evaluate these probabilities. (Round your answers to four decimal places.)
(a)
C
4
1
C
3
1
C
7
2
 = Correct: Your answer is correct. seenKey

0.5714
(b)
C
4
2
C
5
1
C
9
3
 = Correct: Your answer is correct. seenKey

0.3571
(c)
C
6
3
C
4
0
C
10
3
 = Correct: Your answer is correct. seenKey

0.1667
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5. 4/4 points  |  Previous Answers MendStatC4 6.E.001. My Notes
Question Part
Points
Submissions Used
1 2 3 4
1/1 1/1 1/1 1/1
1/100 1/100 2/100 1/100
Total
4/4
 
Consider a standard normal random variable with μ = 0 and standard deviation σ = 1. (Round your answers to four decimal places.)
(a)    
P(z < 1) = Correct: Your answer is correct. seenKey

0.8413


(b)    
P(z > 1.16) = Correct: Your answer is correct. seenKey

0.1230


(c)    
P(−2.31 < z < 2.31) = Correct: Your answer is correct. seenKey

0.9791


(d)    
P(z < 1.82) = Correct: Your answer is correct. seenKey

0.9656

You may need to use the appropriate appendix table or technology to answer this question.
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6. –/4 points MendStatC4 9.E.009. 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 random sample of 100 observations from a quantitative population produced a sample mean of 24.8 and a sample standard deviation of 7.5. Use the p-value approach to determine whether the population mean is different from 26. Explain your conclusions. (Use α = 0.05.)

State the null and alternative hypotheses.
    

Find the test statistic and the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)
z  = 
p-value  = 

State your conclusion.
    

You may need to use the appropriate appendix table or technology to answer this question.
Your work in question(s) will also be submitted or saved.
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7. –/5 points MendStatC4 9.E.020. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
–/1 –/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100 0/100
Total
–/5
 
Some sports that involve a significant amount of running, jumping, or hopping put participants at risk for Achilles tendinopathy (AT), an inflammation and thickening of the Achilles tendon. A study looked at the diameter (in mm) of the affected tendons for patients who participated in these types of sports activities. Suppose that the Achilles tendon diameters in the general population have a mean of 5.97 millimeters (mm). When the diameters of the affected tendon were measured for a random sample of 35 patients, the average diameter was 9.90 with a standard deviation of 1.97 mm. Is there sufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.97 mm? Test at the 5% level of significance.

State the null and alternative hypotheses.
    

Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
test statistic     z =
rejection region     z >
    z <

State your conclusion.
    

You may need to use the appropriate appendix table or technology to answer this question.
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8. –/2 points MendStatC4 10.E.114. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/100 0/100
Total
–/2
 
At a time when energy conservation is so important, some scientists think closer scrutiny should be given to the cost (in energy) of producing various forms of food. Suppose you wish to compare the mean amount of oil required to produce 4047 square metres of corn versus 4047 m2 of cauliflower. The readings (in barrels of oil per 4047 m2), based on 80,937 m2 plots, seven for each crop, are shown in the table.
Corn     Cauliflower
5.5 15.8
7.1 13.3
4.6 17.4
5.8 16.6
7.7 15.8
4.8 16.5
5.7 16.9
Use these data to find a 90% confidence interval for the difference between the mean amounts of oil required to produce these two crops. (Round your answers to three decimal places.)
to barrels of oil per square metre
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9. –/13 points MendStatC4 11.E.029. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12 13
–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100
Total
–/13
 
A randomized block design was used to compare the means of three treatments within six blocks.

Suppose that the analysis of variance calculations are SST = 11.7, SSB = 16.6, and Total SS = 41.9. Complete the ANOVA table, showing all sums of squares, mean squares, and pertinent F-values. (Round your answers to two decimal places.)
Source df SS MS F
Treatments    
Blocks    
Error    
Total
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