# Statistics Assignment

*label*Mathematics

*timer*Asked: Feb 2nd, 2019

*account_balance_wallet*$20

### Question Description

Once you have made your corrections, you will compile your information from Phase 1, Phase 2, Phase 3 and your final conclusion into one submission and submit this as your rough draft for Phase 4 of the course project. Below is a summary of the expectations for Phase 4 of the course project:

- Introduce your scenario and data set.
- Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
- Classify the variables in your data set.
- Which variables are quantitative/qualitative?
- Which variables are discrete/continuous?
- Describe the level of measurement for each variable included in your data set.

- Discuss the importance of the Measures of Center and the Measures of Variation.
- What are the measures of center and why are they important?
- What are the measures of variation and why are they important?

- Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.
- Mean
- Median
- Mode
- Midrange
- Range
- Variance
- Standard Deviantion

- Discuss the importance of constructing confidence intervals for the population mean.
- What are confidence intervals?
- What is a point estimate?
- What is the best point estimate for the population mean? Explain.
- Why do we need confidence intervals?

- Based on your selected topic, evaluate the following:
- Find the best point estimate of the population mean.
- Construct a
**95%**confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.- Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.

- Write a statement that correctly interprets the confidence interval in context of your selected topic.

- Based on your selected topic, evaluate the following:
- Find the best point estimate of the population mean.
- Construct a
**99%**confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.- Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.

- Write a statement that correctly interprets the confidence interval in context of your selected topic.

- Compare and contrast your findings for the 95% and 99% confidence interval.
- Did you notice any changes in your interval estimate? Explain.
- What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.

- Discuss the process for hypothesis testing.
- Discuss the 8 steps of hypothesis testing?
- When performing the 8 steps for hypothesis testing, which method do you prefer; P-Value method or Critical Value method? Why?

The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age.*Original Claim:*- Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.

- Based on your selected topic, answer the following:
- Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.
- Is the test two-tailed, left-tailed, or right-tailed? Explain.
- Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.
- What is the value of the test-statistic? What is the P-value? What is the critical value?
- 5.) What is your decision; reject the null or do not reject the null?
- Explain why you made your decision including the results for your p-value and the critical value.

- State the final conclusion in non-technical terms.

- Conclusion
- Recap your ideas by summarizing the information presented in context of your chosen scenario.

Please be sure to show all of your work and use the Equation Editor to format your equations.

This assignment should be formatted using APA guidelines and a minimum of 2 pages in length.

## Tutor Answer

Hello! Attached are the answers. Thank you.

Patient #

Infectious Disease

Age

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

69

35

60

55

49

60

72

70

70

73

68

72

74

69

46

48

70

55

49

60

72

70

76

56

59

64

71

69

55

61

70

55

45

69

54

48

60

61

50

59

60

62

63

53

64

50

69

52

68

50

51

52

53

54

55

56

57

58

59

60

Mean

Median

Mode

Midrange

Range

Variance

Standard

Deviation

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

61,82

61,50

69,00

55,50

41,00

79,64

8,92

70

69

59

58

69

65

61

59

71

71

68

76

35

Patient #

Infectious Disease

Age

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

69

35

60

55

49

60

72

70

70

73

68

72

74

69

46

48

70

55

49

60

72

70

76

56

59

64

71

69

55

61

70

55

45

69

54

48

60

61

50

59

60

62

63

53

64

50

69

52

Descriptives

Mean

Median

Mode

Midrange

Range

Variance

Standard deviation

49

50

51

52

53

54

55

56

57

58

59

60

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

68

70

69

59

58

69

65

61

59

71

71

68

Age

61,82

61,5

69

55,5

41

79,64

8,92

95% Confidence interval - mean

95%

61,82

8,92

60

59,000

2,001

2,31

64,1221

59,5113

confidence level

mean

std. dev.

n

df

t

Margin of error

upper confidence limit

lower confidence limit

99% Confidence interval - mean

99%

61,82

8,92

60

59

2,662

3,07

64,8836

58,7497

confidence level

mean

std. dev.

n

df

t

Margin of error

upper confidence limit

lower confidence limit

Mean

Sample Standard deviation

Size (n)

df

X

t

Critical value

p-value

61,82

8,924

60

59

65

-2,760216728

0,0038420

Running head: PROJECT

1

Project

Mary Gibson

PROJECT

2

Introduction

The project aims at impro...

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