Drive (miles) 33 28 77 71 54 81 38 29 6 78 63 36 63 36 86 76 42 83 20 94 39 88 25 80 42 71 73 55 25 76 40 4 36 54 6 State SC NY PA MI FL CA OR TX IL

Answer download
More Details:

Hello,

I need answers for this assignment by Thursday. The assignment goes through turnitin, so please provide original answers.

Thank you


MATH 399N Statistics for Decision Making 

Week 6 iLab


Name:_______________________


Statistical Concepts:

  • Data Simulation
  • Confidence Intervals
  • Normal Probabilities


Short Answer Writing Assignment


All answers should be complete sentences. 


We need to find the confidence interval for the SLEEP variable.  To do this, we need to find the mean and then find the maximum error.  Then we can use a calculator to find the interval, (x – E, x + E).


First, find the mean.  Under that column, in cell E37, type =AVERAGE(E2:E36).  Under that in cell E38, type =STDEV(E2:E36).   Now we can find the maximum error of the confidence interval.  To find the maximum error, we use the “confidence” formula.  In cell E39, type =CONFIDENCE.NORM(0.05,E38,35).  The 0.05 is based on the confidence level of 95%, the E38 is the standard deviation, and 35 is the number in our sample.  You then need to calculate the confidence interval by using a calculator to subtract the maximum error from the mean (x-E) and add it to the mean (x+E).


  • Give and interpret the 95% confidence interval for the hours of sleep a student gets.  (5 points)






Then, you can go down to cell E40 and type =CONFIDENCE.NORM(0.01,E38,35) to find the maximum error for a 99% confidence interval.  Again, you would need to use a calculator to subtract this and add this to the mean to find the actual confidence interval.


  • Give and interpret the 99% confidence interval for the hours of sleep a student gets.  (5 points)







  • Compare the 95% and 99% confidence intervals for the hours of sleep a student gets. Explain the difference between these intervals and why this difference occurs. (10 points)










  • Find the mean and standard deviation of the DRIVE variable by using =AVERAGE(A2:A36) and =STDEV(A2:A36).  Assuming that this variable is normally distributed, what percentage of data would you predict would be less than 40 miles?  This would be based on the calculated probability.  Use the formula =NORM.DIST(40, mean, stdev,TRUE).  Now determine the percentage of data points in the dataset that fall within this range.  To find the actual percentage in the dataset, sort the DRIVE variable and count how many of the data points are less than 40 out of the total 35 data points.  That is the actual percentage.  How does this compare with your prediction?   (15 points)





Mean ______________             Standard deviation ____________________



Predicted percentage ______________________________



Actual percentage _____________________________


Comparison ___________________________________________________


______________________________________________________________





  • What percentage of data would you predict would be between 40 and 70 and what percentage would you predict would be more than 70 miles?  Subtract the probabilities found through =NORM.DIST(70, mean, stdev, TRUE) and =NORM.DIST(40, mean, stdev, TRUE) for the “between” probability.  To get the probability of over 70, use the same =NORM.DIST(70, mean, stdev, TRUE) and then subtract the result from 1 to get “more than”.  Now determine the percentage of data points in the dataset that fall within this range, using same strategy as above for counting data points in the data set.  How do each of these compare with your prediction and why is there a difference?   (15 points)



Predicted percentage between 40 and 70 ______________________________



Actual percentage _____________________________________________




Predicted percentage more than 70 miles ________________________________



Actual percentage ___________________________________________


Comparison ____________________________________________________


_______________________________________________________________


Why?  __________________________________________________________


________________________________________________________________





Drive (miles)

 

33

 

28

 

77

 

71

 

54

 

81

 

38

 

29

 

6

 

78

 

63

 

36

 

63

 

36

 

86

 

76

 

42

 

83

 

20

 

94

 

39

 

88

 

25

 

80

 

42

 

71

 

73

 

55

 

25

 

76

 

40

 

4

 

36

 

54

 

6 State

 

SC

 

NY

 

PA

 

MI

 

FL

 

CA

 

OR

 

TX

 

IL

 

CA

 

NY

 

MI

 

PA

 

TX

 

FL

 

NY

 

TX

 

FL

 

IL

 

KY

 

SC

 

CA

 

GA

 

NV

 

IL

 

PA

 

FL

 

OH

 

CA

 

PA

 

IL

 

NY

 

OR

 

CA

 

OR Shoe Size

 

11

 

7

 

10

 

8

 

9

 

10

 

10

 

9

 

12

 

9

 

11

 

10

 

10

 

7

 

11

 

9

 

9

 

13

 

5

 

11

 

11

 

6

 

9

 

12

 

8

 

7

 

12

 

9

 

8

 

11

 

10

 

9

 

9

 

5

 

13 Height (inches)

 

68

 

67

 

71

 

64

 

70

 

70

 

67

 

70

 

63

 

71

 

67

 

61

 

66

 

66

 

69

 

65

 

73

 

69

 

62

 

74

 

69

 

63

 

69

 

69

 

65

 

74

 

70

 

67

 

69

 

71

 

68

 

69

 

73

 

70

 

75 Sleep (hours)

 

8

 

4

 

8

 

6

 

8

 

8

 

8

 

7

 

7

 

9

 

8

 

7

 

8

 

5

 

8

 

7

 

7

 

8

 

7

 

8

 

10

 

5

 

7

 

8

 

8

 

8

 

7

 

8

 

6

 

4

 

6

 

7

 

7

 

5

 

10 Gender Car Color

 

M

 

blue

 

F

 

black

 

M

 

blue

 

F

 

blue

 

F

 

green

 

F

 

black

 

F

 

silver

 

M

 

silver

 

F

 

blue

 

M

 

blue

 

M

 

green

 

M

 

blue

 

F

 

silver

 

M

 

orange

 

M

 

black

 

F

 

red

 

F

 

black

 

M

 

blue

 

F

 

black

 

M

 

red

 

M

 

red

 

F

 

black

 

M

 

silver

 

M

 

white

 

F

 

red

 

M

 

black

 

F

 

green

 

F

 

dark blue

 

F

 

silver

 

M

 

silver

 

M

 

green

 

F

 

blue

 

M

 

blue

 

F

 

green

 

M

 

silver TV (hours)

 

1

 

1

 

1

 

2

 

2

 

2

 

2

 

2

 

2

 

2

 

3

 

3

 

3

 

3

 

3

 

3

 

3

 

3

 

3

 

3

 

3

 

3

 

3

 

4

 

4

 

4

 

4

 

4

 

4

 

5

 

5

 

5

 

5

 

6

 

6 Money (dollars)

 

9.00

 

29.00

 

52.00

 

1.00

 

5.00

 

7.00

 

15.00

 

32.00

 

44.00

 

47.00

 

4.00

 

5.00

 

5.00

 

6.00

 

6.00

 

7.00

 

7.00

 

8.00

 

10.00

 

20.00

 

26.00

 

43.00

 

53.00

 

3.00

 

4.00

 

6.00

 

15.00

 

31.00

 

34.00

 

13.00

 

16.00

 

21.00

 

23.00

 

6.00

 

7.00 Coin

 

4

 

4

 

5

 

4

 

3

 

7

 

4

 

3

 

2

 

2

 

6

 

7

 

7

 

3

 

3

 

6

 

3

 

3

 

2

 

4

 

4

 

6

 

5

 

4

 

4

 

7

 

3

 

4

 

4

 

5

 

5

 

5

 

5

 

7

 

4

 


Solution details:
STATUS
Answered
QUALITY
Approved
ANSWER RATING

This question was answered on: Dec 18, 2020

PRICE: $15

Solution~00031148233865.zip (25.37 KB)

Buy this answer for only: $15

This attachment is locked

We have a ready expert answer for this paper which you can use for in-depth understanding, research editing or paraphrasing. You can buy it or order for a fresh, original and plagiarism-free solution (Deadline assured. Flexible pricing. TurnItIn Report provided)

Pay using PayPal (No PayPal account Required) or your credit card . All your purchases are securely protected by .
SiteLock

About this Question

STATUS

Answered

QUALITY

Approved

DATE ANSWERED

Dec 18, 2020

EXPERT

Tutor

ANSWER RATING

GET INSTANT HELP

We have top-notch tutors who can do your essay/homework for you at a reasonable cost and then you can simply use that essay as a template to build your own arguments.

You can also use these solutions:

  • As a reference for in-depth understanding of the subject.
  • As a source of ideas / reasoning for your own research (if properly referenced)
  • For editing and paraphrasing (check your institution's definition of plagiarism and recommended paraphrase).
This we believe is a better way of understanding a problem and makes use of the efficiency of time of the student.

Order-Now