Determine which of the following statements is descriptive in nature and which is inferential. Refer to the data below in How Old is My Fish?

Week 1 Assignment

 

1. Determine which of the following statements is descriptive in nature and which is inferential. Refer to the data below in How Old is My Fish?

How Old is My Fish
Average age by length of largemouth bass in new York State
Length

8

9

10

11

12

13

14

Age

2

3

3

4

4

5

5

a. All 9-inch largemouth bass in New York State are an average of 3 years old.

b. Of the largemouth bass used in the sample to make up th NYS DEC Freshwater Fishing Guide, the average age of 9-inch largemouth bass was 3 years.

In your answer also describe and explain the difference between descriptive statistics and inferential statistics.

Question 2

2. Since 1981, Fortune magazine has been tracking what they judge to be the “best 100 companies to work for.” The companies must be at least ten years old and employ no less than 500 people. Below are the top 25 from the list compiled in 1998, together with each company’s percentage of females, percentage of job growth over a 2 year span, and number of hours of professional training required each year by the employer.

Company Name Women (%) Job Growth (%) Training (hr/yr)
       
Southwest Airlines 55 26 15
Kingston Technology 48 54 100
SAS Institute 53 34 32
FEL-Pro 36 10 60
TDIndustries 10 31 40
MBNA 58 48 48
W.L.Gore 43 26 27
Microsoft 29 22 8
Merck 52 24 40
Hewlett-Packard 37 10 0
Synovus Financial 65 23 13
Goldman Sachs 40 13 20
MOOG 19 17 25
DeLoitte&Touche 45 23 70
Corning 38 9 80
Wegmans Food Products 54 3 30
Harley-Davidson 22 15 50
Federal Express 32 11 40
Proctor & Gamble 40 1 25
Peoplesoft 44 122 0
First Tennessee Bank 70 1 60
J.M. Smucker 48 1 24
Granite Rock 17 29 43
Petagonia 52 5 62
Cisco Systems 25 189 80

a. Find the mean, range, variance, and standard deviation for each of the three variables shown in the list. Present your results in a table.

b. Using your results from (a), compare the distributions for job growth percentage and percentage of women employed. What can you conclude?

Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly present well-reasoned ideas and concepts 30
Mechanics, punctuation, sentence structure, spelling that affects clarity, and citation of sources as needed 10
Total 100

 

 

Week2 Assignment

Assignment Week 2

Question 1

1. Baseball stadiums vary in age, style, size, and in many other ways. Fans might think of the size of the stadium in terms of the number of seats; while the player might measure the size of the stadium by the distance from the homeplate to the centerfield fence. Note: CF = distance from homeplate to centerfield fence.

Using the Excell add-in construct your scatter diagram with the data set provide below.

Seats       CF
38805   420
41118   400
56000   400
45030   400
34077   400
40793   400
56144   408
50516   400
40615   400
48190   406
36331   434
43405   405
48911   400
50449   415
50091   400
43772   404
49033   407
47447   405
40120   422
41503   404
40950   435
38496   400
41900   400
42271   404
43647   401
42600   396
46200   400
41222   403
52355   408
45000   408

 

Is there a relationship between these two measurements for the “size” of the 30 Major League Baseball stadiums?

a. Before you run your scatter diagram answer the following: What do you think you will find? Bigger fields have more seats? Smaller fields have more seats? No relationship exists between field size and number of seats? A strong relationship exists between field size and number of seats? Explain.

b. Construct a scatter diagram and include it in your answer.

c. Describe what the scatter diagram tells you, including a reaction to your answer in (a).

Question 2

2. Place a pair of dice in a cup, shake and dump them out. Observe the sum of dots. Record 2, 3, 4, _ , 12. Repeat the process 25 times. Using your results, find the relative frequency for each of the values: 2, 3, 4, 5, _ , 12.

Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly present well-reasoned ideas and concepts 30
Mechanics, punctuation, sentence structure, spelling that affects clarity, and citation of sources as needed 10
Total 100

Assignment Week 3

Question 1

If you could stop time and live forever in good health, what age would you pick? Answers to this question were reported in a USA Today Snapshot. The average ideal age for each age group is listed in the following table; the average ideal age for all adults was found to be 41. Interestingly, those younger than 30 years want to be older, whereas those older than 30 years want to be younger.

Age Group Ideal Age
18 – 24 27
25 – 29 31
30 – 39 37
40 – 49 40
50 – 64 44
65 + 59

Age is used as a variable twice in this application.

  1. The age of the person being interviewed is not the random variable in this situation. Explain why and describe how “age” is used with regard to age group.
  2. What is the random variable involved in this study? Describe its role in this situation.
  3. Is the random variable discrete or continuous?

Question 2

Find the area under the normal curve that lies to the left of the following z-values.

  1. Z=-1.30
  2. Z=-3.20
  3. Z=-2.56
  4. Z=-0.64
Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly present well-reasoned ideas and concepts 30
Mechanics, punctuation, sentence structure, spelling that affects clarity, and citation of sources as needed 10
Total 100

 

 

Assignment Week 5

Question 1

Using the telephone numbers listed in your local directory as your population, randomly obtain 20 samples of size 3. From each telephone number identified as a source, take the fourth, fifth, and sixth digits.

  1. Calculate the mean of the 20 samples
  2. Draw a histogram showing the 20 sample means. (Use classes -0.5 to 0.5, 0.5 to 1.5, 1.5 to 2.5 and so on).
  3. Describe the distribution of the x-bars that you see in part b (shape of distribution, center, and the amount of dispersion).
  4. Draw 20 more samples and add the 20 new x-bars to the histogram in part b. Describe the distribution that seems to be developing.

Use the empirical rule to test for normality. See the sampling distribution of sample means and the central limit theorem develop from your own data!

Question 2

Consider a population with μ = 43 and σ = 5.2.

  1. Calculate the z-score for an x̅ of 46.5 from a sample of size 35.
  2. Could this z-score be used in calculating probabilities using Table 3 in Appendix B? Why or why not?

Question 3

State the null and alternative hypotheses for each of the following:

  1. You want to show an increase in buying and selling of single-family homes this year when compared with last year’s rate.
  2. You are testing a new recipe for “low-fat” cheesecake and expect to find that its taste is not as good as traditional cheesecake.
  3. You are trying to show that music lessons have a positive effect on a child’s self-esteem.
  4. You are investigating the relationship between a person’s gender and the automobile he or she drives—specifically you want to show that more males than females drive truck-type vehicles.
Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly present well-reasoned ideas and concepts 30
Mechanics, punctuation, sentence structure, spelling that affects clarity, and citation of sources as needed 10
Total 100

 Need a Professional Writer to Work on this Paper and Give you Original Paper? CLICK HERE TO GET THIS PAPER WRITTEN

Assignment Week 6

Question 1

Based on a survey of 1,000 adults by Greenfield Online and reported in a May 2009 USA Today Snapshot, adults 24 years of age and under spend a weekly average of $35 on fast food. If 200 of the adults surveyed were in the age category of 24 and under and they provided a standard deviation of $14.50, construct a 95% confidence interval for the weekly average expenditure on fast food for adults 24 years of age and under. Assume fast food weekly expenditures are normally distributed.

Question 2

An experiment was designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were littermates. The rations were assigned at random to the two animals within each pair. The gains (in pounds) after 45 days are shown below:

RationA RationB

65

58

37

39

40

31

47

45

49

47

65

55

53

59

59

51

Assuming weight gain is normal, find the 95% confidence interval estimate for the mean of the differences μd where d= ration A – ration B.

Assignment Week 7

Question 1

To compare commuting times in various locations, independent random samples were obtained from the six cities presented in the “Longest Commute to Work” graphic on page 255 in your textbook. The samples were from workers who commute to work during the 8:00 a.m. rush hour. One-way Travel to Work in Minutes

Atlanta

Boston

Dallas

Philadelphia

Seattle

St. Louis

29

18

42

29

30

15

21

37

25

20

23

24

20

27

26

33

31

42

15

25

32

37

39

23

37

32

20

42

14

33

26

34

26

18

48

35

 
  1. Construct a graphic representation of the data using six side-by-side dotplots.
  2. Visually estimate the mean commute time for each city and locate it with an X.
  3. Does it appear that different cities have different effects on the average amount of time spent by workers who commute to work during the 8:00 a.m. rush hour? Explain.
  4. Does it visually appear that different cities have different effects on the variation in the amount of time spent by workers who commute to work during the 8:00 a.m. rush hour? Explain.

Part 2

  1. Calculate the mean commute time for each city depicted.
  2. Does there seem to be a difference among the mean one-way commute times for these six cities?
  3. Calculate the standard deviation for each city’s commute time.
  4. Does there seem to be a difference among the standard deviations between the one-way commute times for these six cities?

Part 3

  1. Construct the 95% confidence interval for the mean commute time for Atlanta and Boston.
  2. Based on the confidence intervals found does it appear that the mean commute time is the same or different for these two cities (Atlanta and Boston). Explain
  3. Construct the 95% confidence interval for the mean commute time for Dallas.
  4. Based on the confidence intervals found in (Atlanta and Boston) and Dallas does it appear that the mean commute time is the same or different for Boston and Dallas? Explain.
  5. Based on the confidence levels found in (Atlanta and Boston) and (Dallas) does it appear that the mean commute time is the same or different for the set of three cities, Atlanta, Boston, and Dallas? Explain
  6. How does your confidence intervals compare to the intervals given for Atlanta, Boston, and Dallas in “Longest Commute to Work” on page 255?

Question 2

Interstate 90 is the longest of the east-west U.S. interstate highways with its 3,112 miles stretching from Boston, MA at I-93 on the eastern end to Seattle WA at the Kingdome on the western end. It travels across 13 northern states; the number of miles and number of intersections in each of those states is listed below.

State No. of Inter Miles
WA 57 298
ID 15 73
MT 83 558
WY 23 207
SD 61 412
MN 52 275
WI 40 188
IL 19 103
IN 21 157
OH 40 244
PA 14 47
NY 48 391
MA 18 159
  1. Construct a scatter diagram of the data.
  2. Find the equation for the line of best fit using x= miles and y=intersections.
  3. Using the equation found in part (b), estimate the average number of intersections per mile along I-90.
  4. Find a 95% confidence interval for β1.
  5. Explain the meaning of the interval found in part d.

Need a Professional Writer to Work on this Paper and Give you Original Paper? CLICK HERE TO GET THIS PAPER WRITTEN

 

Leave a Reply

Your email address will not be published. Required fields are marked *

Determine which of the following statements is descriptive in nature and which is inferential. Refer to the data below in How Old is My Fish?

Week 1 Assignment

 

1. Determine which of the following statements is descriptive in nature and which is inferential. Refer to the data below in How Old is My Fish?

How Old is My Fish
Average age by length of largemouth bass in new York State
Length

8

9

10

11

12

13

14

Age

2

3

3

4

4

5

5

a. All 9-inch largemouth bass in New York State are an average of 3 years old.

b. Of the largemouth bass used in the sample to make up th NYS DEC Freshwater Fishing Guide, the average age of 9-inch largemouth bass was 3 years.

In your answer also describe and explain the difference between descriptive statistics and inferential statistics.

Question 2

2. Since 1981, Fortune magazine has been tracking what they judge to be the “best 100 companies to work for.” The companies must be at least ten years old and employ no less than 500 people. Below are the top 25 from the list compiled in 1998, together with each company’s percentage of females, percentage of job growth over a 2 year span, and number of hours of professional training required each year by the employer.

Company Name Women (%) Job Growth (%) Training (hr/yr)
       
Southwest Airlines 55 26 15
Kingston Technology 48 54 100
SAS Institute 53 34 32
FEL-Pro 36 10 60
TDIndustries 10 31 40
MBNA 58 48 48
W.L.Gore 43 26 27
Microsoft 29 22 8
Merck 52 24 40
Hewlett-Packard 37 10 0
Synovus Financial 65 23 13
Goldman Sachs 40 13 20
MOOG 19 17 25
DeLoitte&Touche 45 23 70
Corning 38 9 80
Wegmans Food Products 54 3 30
Harley-Davidson 22 15 50
Federal Express 32 11 40
Proctor & Gamble 40 1 25
Peoplesoft 44 122 0
First Tennessee Bank 70 1 60
J.M. Smucker 48 1 24
Granite Rock 17 29 43
Petagonia 52 5 62
Cisco Systems 25 189 80

a. Find the mean, range, variance, and standard deviation for each of the three variables shown in the list. Present your results in a table.

b. Using your results from (a), compare the distributions for job growth percentage and percentage of women employed. What can you conclude?

Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly present well-reasoned ideas and concepts 30
Mechanics, punctuation, sentence structure, spelling that affects clarity, and citation of sources as needed 10
Total 100

 

 

Week2 Assignment

Assignment Week 2

Question 1

1. Baseball stadiums vary in age, style, size, and in many other ways. Fans might think of the size of the stadium in terms of the number of seats; while the player might measure the size of the stadium by the distance from the homeplate to the centerfield fence. Note: CF = distance from homeplate to centerfield fence.

Using the Excell add-in construct your scatter diagram with the data set provide below.

Seats       CF
38805   420
41118   400
56000   400
45030   400
34077   400
40793   400
56144   408
50516   400
40615   400
48190   406
36331   434
43405   405
48911   400
50449   415
50091   400
43772   404
49033   407
47447   405
40120   422
41503   404
40950   435
38496   400
41900   400
42271   404
43647   401
42600   396
46200   400
41222   403
52355   408
45000   408

 

Is there a relationship between these two measurements for the “size” of the 30 Major League Baseball stadiums?

a. Before you run your scatter diagram answer the following: What do you think you will find? Bigger fields have more seats? Smaller fields have more seats? No relationship exists between field size and number of seats? A strong relationship exists between field size and number of seats? Explain.

b. Construct a scatter diagram and include it in your answer.

c. Describe what the scatter diagram tells you, including a reaction to your answer in (a).

Question 2

2. Place a pair of dice in a cup, shake and dump them out. Observe the sum of dots. Record 2, 3, 4, _ , 12. Repeat the process 25 times. Using your results, find the relative frequency for each of the values: 2, 3, 4, 5, _ , 12.

Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly present well-reasoned ideas and concepts 30
Mechanics, punctuation, sentence structure, spelling that affects clarity, and citation of sources as needed 10
Total 100

Assignment Week 3

Question 1

If you could stop time and live forever in good health, what age would you pick? Answers to this question were reported in a USA Today Snapshot. The average ideal age for each age group is listed in the following table; the average ideal age for all adults was found to be 41. Interestingly, those younger than 30 years want to be older, whereas those older than 30 years want to be younger.

Age Group Ideal Age
18 – 24 27
25 – 29 31
30 – 39 37
40 – 49 40
50 – 64 44
65 + 59

Age is used as a variable twice in this application.

  1. The age of the person being interviewed is not the random variable in this situation. Explain why and describe how “age” is used with regard to age group.
  2. What is the random variable involved in this study? Describe its role in this situation.
  3. Is the random variable discrete or continuous?

Question 2

Find the area under the normal curve that lies to the left of the following z-values.

  1. Z=-1.30
  2. Z=-3.20
  3. Z=-2.56
  4. Z=-0.64
Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly present well-reasoned ideas and concepts 30
Mechanics, punctuation, sentence structure, spelling that affects clarity, and citation of sources as needed 10
Total 100

 

 

Assignment Week 5

Question 1

Using the telephone numbers listed in your local directory as your population, randomly obtain 20 samples of size 3. From each telephone number identified as a source, take the fourth, fifth, and sixth digits.

  1. Calculate the mean of the 20 samples
  2. Draw a histogram showing the 20 sample means. (Use classes -0.5 to 0.5, 0.5 to 1.5, 1.5 to 2.5 and so on).
  3. Describe the distribution of the x-bars that you see in part b (shape of distribution, center, and the amount of dispersion).
  4. Draw 20 more samples and add the 20 new x-bars to the histogram in part b. Describe the distribution that seems to be developing.

Use the empirical rule to test for normality. See the sampling distribution of sample means and the central limit theorem develop from your own data!

Question 2

Consider a population with μ = 43 and σ = 5.2.

  1. Calculate the z-score for an x̅ of 46.5 from a sample of size 35.
  2. Could this z-score be used in calculating probabilities using Table 3 in Appendix B? Why or why not?

Question 3

State the null and alternative hypotheses for each of the following:

  1. You want to show an increase in buying and selling of single-family homes this year when compared with last year’s rate.
  2. You are testing a new recipe for “low-fat” cheesecake and expect to find that its taste is not as good as traditional cheesecake.
  3. You are trying to show that music lessons have a positive effect on a child’s self-esteem.
  4. You are investigating the relationship between a person’s gender and the automobile he or she drives—specifically you want to show that more males than females drive truck-type vehicles.
Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly present well-reasoned ideas and concepts 30
Mechanics, punctuation, sentence structure, spelling that affects clarity, and citation of sources as needed 10
Total 100

 Need a Professional Writer to Work on this Paper and Give you Original Paper? CLICK HERE TO GET THIS PAPER WRITTEN

Assignment Week 6

Question 1

Based on a survey of 1,000 adults by Greenfield Online and reported in a May 2009 USA Today Snapshot, adults 24 years of age and under spend a weekly average of $35 on fast food. If 200 of the adults surveyed were in the age category of 24 and under and they provided a standard deviation of $14.50, construct a 95% confidence interval for the weekly average expenditure on fast food for adults 24 years of age and under. Assume fast food weekly expenditures are normally distributed.

Question 2

An experiment was designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were littermates. The rations were assigned at random to the two animals within each pair. The gains (in pounds) after 45 days are shown below:

RationA RationB

65

58

37

39

40

31

47

45

49

47

65

55

53

59

59

51

Assuming weight gain is normal, find the 95% confidence interval estimate for the mean of the differences μd where d= ration A – ration B.

Assignment Week 7

Question 1

To compare commuting times in various locations, independent random samples were obtained from the six cities presented in the “Longest Commute to Work” graphic on page 255 in your textbook. The samples were from workers who commute to work during the 8:00 a.m. rush hour. One-way Travel to Work in Minutes

Atlanta

Boston

Dallas

Philadelphia

Seattle

St. Louis

29

18

42

29

30

15

21

37

25

20

23

24

20

27

26

33

31

42

15

25

32

37

39

23

37

32

20

42

14

33

26

34

26

18

48

35

 
  1. Construct a graphic representation of the data using six side-by-side dotplots.
  2. Visually estimate the mean commute time for each city and locate it with an X.
  3. Does it appear that different cities have different effects on the average amount of time spent by workers who commute to work during the 8:00 a.m. rush hour? Explain.
  4. Does it visually appear that different cities have different effects on the variation in the amount of time spent by workers who commute to work during the 8:00 a.m. rush hour? Explain.

Part 2

  1. Calculate the mean commute time for each city depicted.
  2. Does there seem to be a difference among the mean one-way commute times for these six cities?
  3. Calculate the standard deviation for each city’s commute time.
  4. Does there seem to be a difference among the standard deviations between the one-way commute times for these six cities?

Part 3

  1. Construct the 95% confidence interval for the mean commute time for Atlanta and Boston.
  2. Based on the confidence intervals found does it appear that the mean commute time is the same or different for these two cities (Atlanta and Boston). Explain
  3. Construct the 95% confidence interval for the mean commute time for Dallas.
  4. Based on the confidence intervals found in (Atlanta and Boston) and Dallas does it appear that the mean commute time is the same or different for Boston and Dallas? Explain.
  5. Based on the confidence levels found in (Atlanta and Boston) and (Dallas) does it appear that the mean commute time is the same or different for the set of three cities, Atlanta, Boston, and Dallas? Explain
  6. How does your confidence intervals compare to the intervals given for Atlanta, Boston, and Dallas in “Longest Commute to Work” on page 255?

Question 2

Interstate 90 is the longest of the east-west U.S. interstate highways with its 3,112 miles stretching from Boston, MA at I-93 on the eastern end to Seattle WA at the Kingdome on the western end. It travels across 13 northern states; the number of miles and number of intersections in each of those states is listed below.

State No. of Inter Miles
WA 57 298
ID 15 73
MT 83 558
WY 23 207
SD 61 412
MN 52 275
WI 40 188
IL 19 103
IN 21 157
OH 40 244
PA 14 47
NY 48 391
MA 18 159
  1. Construct a scatter diagram of the data.
  2. Find the equation for the line of best fit using x= miles and y=intersections.
  3. Using the equation found in part (b), estimate the average number of intersections per mile along I-90.
  4. Find a 95% confidence interval for β1.
  5. Explain the meaning of the interval found in part d.

Need a Professional Writer to Work on this Paper and Give you Original Paper? CLICK HERE TO GET THIS PAPER WRITTEN

 

Leave a Reply

Your email address will not be published. Required fields are marked *