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程序代写案例-MA 2054

时间：2021-05-06

Polytechnic Institute of NYU

MA 2054 Sample Final May , 2012

Print Name:

Signature:

ID #:

Instructor/Section:

Directions: You have 120 minutes to answer the following questions. You must show

all your work as neatly and clearly as possible and indicate the final answer clearly. You

may use only a TI-30 calculator. The last page contains formulas that you might find

useful. You may tear that page out.

If you are feeling ill you should inform the proctor. The proctor will note your name, Poly

ID and accept any written statement(s) that you may wish to make regarding your illness.

Problem Possible Points

1

2

3

4

5

6

7

8

Total 100

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Your signature:

(1) (Page 742, 11.83-11.84) The following set of 25 scores was randomly selected from

a teacher’s class list. Let x be the prefinal average and y be the final examination

score. Show all your work. Also, you are given:∑

x = 1865

∑

y = 1563

∑

x2 = 142771

∑

y2 = 99019

∑

xy = 118392

Stu- x y Stu- x y Stu- x y Stu- x y Stu- x y

dents dents dents dents dents

1 75 64 6 66 61 11 64 52 16 71 62 21 59 49

2 86 65 7 55 48 12 76 63 17 86 71 22 81 71

3 68 57 8 84 67 13 71 66 18 71 55 23 58 58

4 83 59 9 61 59 14 73 62 19 96 72 24 90 67

5 57 63 10 68 56 15 78 66 20 96 75 25 92 75

(a) Find the equation of the best line fit.

(b) Calculate the linear correlation coefficient, r.

(c) Test the significance of r at α = .10

(d) Set a 95% confidence interval for ρ.

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

https://www.coursehero.com/file/9045212/Final-Exam-3-Sample/

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Your signature:

(2) You do not need to show your work.

(a) (Page 665, 12.5) Suppose the the number of data 25 is divided into 5 equal

classes (or levels or groups). The ANOVA techniques allow us to test the null

hypothesis (all means are equal) against the alternative hypothesis (at least

one mean is different) with a specific value of α by using the F-distribution

and an F-test statistic, F∗ given by

F∗ =

MS(factor)

MS(error)

.

Fill in the missing information in the ANOVA Table

Source df SS MS F∗

Factor 13.25

Error 4.2

Total

(b) (Page 622 graph, 11. 6) Find the critical values corresponding to the shaded

area using the notation χ?(df, α) with α = .01 and n = 10.

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Your signature:

(3) (Page 533, Question 158) Twenty-four oat-producing counties were randomly se-

lected from across Minnesota for the purpose of testing the claim “The mean oat

crop yield rate is greater than 60 bushels per acre.”. For each county identified, the

yield rate, in bushels of oats per harvested acre, was obtained. The resulting data

are listen below. Show all your work.

56 31 80 53 39 59 63 67 56 66 61 48

46 73 85 77 78 72 63 71 77 81 63 53

(a) What assumptions are you making? Are the assumptions satisfied? Justify.

(b) Calculate the sample mean.

(c) Complete the test using α = .05.

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

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Your signature:

(4) (Concepts) Determine whether the statements are True or False. You do need to

explain.

(a) The standard deviation of the data set 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 is 3.

(b) Correlation analysis is a method to determine the linear relationship between

two variables.

(c) If A and B are mutually exclusive events, the sum of their probability must

less or equal to one.

(d) Whenever the slope of the regression line is zero, the correlation coefficient will

also be zero.

(e) Correlation coefficients range between 0 and 1.

(f) z(0.5) = 1.

(g) P (z < 1.53) = 0.5 + P (z > 1.53).

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

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Your signature:

(5) (Page 263, Question 162) A coin A is loaded in such a way that P (heads) = .6 and

a coin B is a balance one. Both coins are tossed. Show all your work.

(a) Find P (both show heads).

(b) Find P (exactly one head shows).

(c) Find the probability that neither coin shows head.

(d) Find the probability that both show heads given that the coin B shows a head.

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

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Your signature:

(6) (Page 468, Question 192) From a population of unknown mean µ and a standard

deviation σ = 5.0, a sample of size 100 is selected and the sample mean is 40.6.

(a) Determine 95% confidence interval for µ.

(b) complete the hypothesis test involving Ha : µ 6= 40 with α = .05.

(7) True or False questions.

(Chapter Practice Test Part I in Homework 1-7).

(8) This is just a similar format of final exam. Studying from past or sample exams is

NOT recommended. If you do, it should be only AFTER you know how to do all

of the homework questions and examples from the lectures by yourself.

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

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学霸联盟

MA 2054 Sample Final May , 2012

Print Name:

Signature:

ID #:

Instructor/Section:

Directions: You have 120 minutes to answer the following questions. You must show

all your work as neatly and clearly as possible and indicate the final answer clearly. You

may use only a TI-30 calculator. The last page contains formulas that you might find

useful. You may tear that page out.

If you are feeling ill you should inform the proctor. The proctor will note your name, Poly

ID and accept any written statement(s) that you may wish to make regarding your illness.

Problem Possible Points

1

2

3

4

5

6

7

8

Total 100

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

https://www.coursehero.com/file/9045212/Final-Exam-3-Sample/

Th

is s

tud

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eso

urc

e w

as

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com

Your signature:

(1) (Page 742, 11.83-11.84) The following set of 25 scores was randomly selected from

a teacher’s class list. Let x be the prefinal average and y be the final examination

score. Show all your work. Also, you are given:∑

x = 1865

∑

y = 1563

∑

x2 = 142771

∑

y2 = 99019

∑

xy = 118392

Stu- x y Stu- x y Stu- x y Stu- x y Stu- x y

dents dents dents dents dents

1 75 64 6 66 61 11 64 52 16 71 62 21 59 49

2 86 65 7 55 48 12 76 63 17 86 71 22 81 71

3 68 57 8 84 67 13 71 66 18 71 55 23 58 58

4 83 59 9 61 59 14 73 62 19 96 72 24 90 67

5 57 63 10 68 56 15 78 66 20 96 75 25 92 75

(a) Find the equation of the best line fit.

(b) Calculate the linear correlation coefficient, r.

(c) Test the significance of r at α = .10

(d) Set a 95% confidence interval for ρ.

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

https://www.coursehero.com/file/9045212/Final-Exam-3-Sample/

Th

is s

tud

y r

eso

urc

e w

as

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Your signature:

(2) You do not need to show your work.

(a) (Page 665, 12.5) Suppose the the number of data 25 is divided into 5 equal

classes (or levels or groups). The ANOVA techniques allow us to test the null

hypothesis (all means are equal) against the alternative hypothesis (at least

one mean is different) with a specific value of α by using the F-distribution

and an F-test statistic, F∗ given by

F∗ =

MS(factor)

MS(error)

.

Fill in the missing information in the ANOVA Table

Source df SS MS F∗

Factor 13.25

Error 4.2

Total

(b) (Page 622 graph, 11. 6) Find the critical values corresponding to the shaded

area using the notation χ?(df, α) with α = .01 and n = 10.

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

https://www.coursehero.com/file/9045212/Final-Exam-3-Sample/

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Your signature:

(3) (Page 533, Question 158) Twenty-four oat-producing counties were randomly se-

lected from across Minnesota for the purpose of testing the claim “The mean oat

crop yield rate is greater than 60 bushels per acre.”. For each county identified, the

yield rate, in bushels of oats per harvested acre, was obtained. The resulting data

are listen below. Show all your work.

56 31 80 53 39 59 63 67 56 66 61 48

46 73 85 77 78 72 63 71 77 81 63 53

(a) What assumptions are you making? Are the assumptions satisfied? Justify.

(b) Calculate the sample mean.

(c) Complete the test using α = .05.

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

https://www.coursehero.com/file/9045212/Final-Exam-3-Sample/

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Your signature:

(4) (Concepts) Determine whether the statements are True or False. You do need to

explain.

(a) The standard deviation of the data set 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 is 3.

(b) Correlation analysis is a method to determine the linear relationship between

two variables.

(c) If A and B are mutually exclusive events, the sum of their probability must

less or equal to one.

(d) Whenever the slope of the regression line is zero, the correlation coefficient will

also be zero.

(e) Correlation coefficients range between 0 and 1.

(f) z(0.5) = 1.

(g) P (z < 1.53) = 0.5 + P (z > 1.53).

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

https://www.coursehero.com/file/9045212/Final-Exam-3-Sample/

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Your signature:

(5) (Page 263, Question 162) A coin A is loaded in such a way that P (heads) = .6 and

a coin B is a balance one. Both coins are tossed. Show all your work.

(a) Find P (both show heads).

(b) Find P (exactly one head shows).

(c) Find the probability that neither coin shows head.

(d) Find the probability that both show heads given that the coin B shows a head.

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

https://www.coursehero.com/file/9045212/Final-Exam-3-Sample/

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Your signature:

(6) (Page 468, Question 192) From a population of unknown mean µ and a standard

deviation σ = 5.0, a sample of size 100 is selected and the sample mean is 40.6.

(a) Determine 95% confidence interval for µ.

(b) complete the hypothesis test involving Ha : µ 6= 40 with α = .05.

(7) True or False questions.

(Chapter Practice Test Part I in Homework 1-7).

(8) This is just a similar format of final exam. Studying from past or sample exams is

NOT recommended. If you do, it should be only AFTER you know how to do all

of the homework questions and examples from the lectures by yourself.

This study source was downloaded by 100000793029202 from CourseHero.com on 05-06-2021 19:46:59 GMT -05:00

https://www.coursehero.com/file/9045212/Final-Exam-3-Sample/

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