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What is the estimated 95% confidence interval (CI) of the average difference in blood vitamin D levels between short sleeve shirt and tank top attire

What is the estimated 95% confidence interval (CI) of the average difference in blood vitamin D levels between short sleeve shirt and tank top attire amongst US landscapers in ng/mL?

Please note the following: 1) in practice, you as the analyst decide how to calculate the difference in vitamin D levels between time points for a given study participant, and subsequently interpret the aggregated results appropriately in the context of the data, though for the purposes of this exercise the difference is assigned for you as follows.Define the difference as the second minus the first time points, which is common practice, since the plus or minus sign of the resulting difference reflects any change over sequential time; 2) you might calculate a CI that is different from any of the multiple choice options listed below due to rounding differences, therefore select the closest match; 3) ensure you use either the large or small sample CI formula as appropriate; and 4) you may copy and paste the data into Excel to facilitate analysis.

Select one:

a. -9.48 to -5.80 ng/mL

b. -11.00 to -6.15 ng/mL

c. -10.19 to -5.08 ng/mL

d. -10.90 to -6.68 ng/mL

Please show your work

Subject

Time Point 1, Shirts

Vitamin D (ng/mL)

Time Point 2, Tank Tops

Vitamin D (ng/mL)

1

40.106

44.145

2

52.319

35.450

3

51.127

37.446

4

53.078

39.214

5

55.989

43.040

6

52.755

44.139

7

52.458

39.561

8

54.570

41.586

9

52.347

56.725

10

49.604

45.987

11

52.675

45.429

12

47.348

59.696

13

57.244

38.922

14

42.454

33.190

15

49.129

51.989

16

54.505

49.763

17

45.329

41.898

18

61.387

50.971

19

51.135

43.931

20

45.059

45.549

21

56.931

39.031

22

53.860

48.220

23

55.568

40.952

24

48.179

41.401

25

47.144

43.844

26

43.207

40.157

27

52.864

42.663

28

50.728

42.246

29

50.826

43.085

30

48.712

37.488

31

45.671

44.693

32

50.500

44.842

33

55.079

42.736

34

54.252

43.533

35

54.300

42.726

36

46.885

45.954

37

39.654

38.801

38

57.457

46.297

39

52.107

44.961

40

49.951

44.151

41

56.890

36.196

42

52.984

39.325

43

50.935

42.066

44

50.244

36.445

45

45.168

45.181

46

54.465

42.422

47

54.110

44.147

48

56.639

53.244

49

54.782

41.547

50

51.920

53.520

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