(b) Levenes Test was applied to the data that is summarized in the boxplots. This produced a P-value of 0.193335426174131. Given what you know about these data, compute the test statistic used to test the null hypothesis in part (a) . Test Statistic = (Use three decimals in your answer) (c) Compute the P-value of the result in part (b). P-value = (Use four decimals your answer) (d) Correctly complete the concluding statement. Use a = 0.03. a) fail to reject a) median From these data, I would b) reject v the null hypothesis. From these data, I can infer that the mean v change in the heart rate between those who consumed Decaffeinated coffee and those who consumed Caffeinated coffee is statistically a significant bí insignificant c) standard deviation (e) Complete the 97% confidence interval estimate for the difference in the mean heart rate change between Decaffeinated and Caffeinated coffee drinkers. Ensure you use three decimals in each of your answers. < H DeCaf - HCaf <

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Some data is intentionally missing. By hand or R-Studio is fine

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DeCaf

Caf

1

11.5

3.3

2

0.2

4.8

3

4

10.6

4

6.7

8.3

5

13.4

5.7

6

16.1

3.2

7

14.1

6.8

8

10.3

5.9

9

6.9

5.2

10

6.7

9.4

11

4.1

8.8

12

7.6

12.7

13

6.5

1.1

14

11.4

8.6

15

5.1

11.1

16

10

9.9

17

6.7

6.3

18

6.8

8.5

19

1.4

9.5

20

2.4

6.2

21

2.7

10.6

22

3.1

5.6

23

2.6

3

24

4.5

12.9

25

0.6

8.3

26

4.4

 

27

0.2

 

28

0.7

 

29

4.5

 

30

5.1

 

31

12.2

 

32

3.6

 

33

3

 

34

10.3

 

35

 

 

36

 

 

37

 

 

38

 

 

39

 

 

40

 

 

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What is the short-term effect of caffeine on your heart rate? After measuring the heart rate of each of n = 59 healthy participants all of whom were under the age of 30, researchers randomly divided them into two groups. NCaf
caffeinated coffee and nDeCaf
= 25 were given a 175 millilitres of
%3D
= 34 were given 175 millilitres of decaffeinated coffee. After 10 minutes, each persons heart rate was measured. The data appears in the .csv file. Download this file, then copy-and-paste into the statistical software.
*Use a = 0.03 for all following tests.
*Use DeCaf = sample 1
T
10
15
(a) Let u DeCaf represent the mean change in the heart rate of those who consumed decaffeinated coffee and uCaf be the mean change in the heart rate of those who consumed caffeinated coffee. You wish to investigate the impact caffeine has on ones heart
rate, specifically if caffeine increases one's heart rate. Select the appropriate statistical hypotheses.
A. Ho : HDeCaf > µCaf HA : H DeCaf < HCaf
В. Но : ИDeCaf — ИСаf
HA : H DeCaf < µCaf
O c. Ho : X DeCaf > X Caf HẠ : X DeCaf < X caf
O D. Ho : X DeCaf = X Caf HA : X DeCaf >
X Caf
О Е. Но : ХDeCaf 3D Х Сaf На : Х DеCaf t X Caf
O F. Ho : HDeCaf < HCaf
HA : H DeCaf > µCaf
G. Ho : H DeCaf = µCaf
HA : H DeCaf 7 HCaf
O H. H, : X DeCaf > X Caf HA : X DeCaf < X Caf
Change in Heart Rate
Caffeine
Decaffeinated
Transcribed Image Text:What is the short-term effect of caffeine on your heart rate? After measuring the heart rate of each of n = 59 healthy participants all of whom were under the age of 30, researchers randomly divided them into two groups. NCaf caffeinated coffee and nDeCaf = 25 were given a 175 millilitres of %3D = 34 were given 175 millilitres of decaffeinated coffee. After 10 minutes, each persons heart rate was measured. The data appears in the .csv file. Download this file, then copy-and-paste into the statistical software. *Use a = 0.03 for all following tests. *Use DeCaf = sample 1 T 10 15 (a) Let u DeCaf represent the mean change in the heart rate of those who consumed decaffeinated coffee and uCaf be the mean change in the heart rate of those who consumed caffeinated coffee. You wish to investigate the impact caffeine has on ones heart rate, specifically if caffeine increases one's heart rate. Select the appropriate statistical hypotheses. A. Ho : HDeCaf > µCaf HA : H DeCaf < HCaf В. Но : ИDeCaf — ИСаf HA : H DeCaf < µCaf O c. Ho : X DeCaf > X Caf HẠ : X DeCaf < X caf O D. Ho : X DeCaf = X Caf HA : X DeCaf > X Caf О Е. Но : ХDeCaf 3D Х Сaf На : Х DеCaf t X Caf O F. Ho : HDeCaf < HCaf HA : H DeCaf > µCaf G. Ho : H DeCaf = µCaf HA : H DeCaf 7 HCaf O H. H, : X DeCaf > X Caf HA : X DeCaf < X Caf Change in Heart Rate Caffeine Decaffeinated
(b) Levenes Test was applied to the data that is summarized in the boxplots. This produced a P-value of 0.193335426174131. Given what you know about these data, compute the test statistic used to test the null hypothesis in part (a) .
Test Statistic =
(Use three decimals in your answer)
(c) Compute the P-value of the result in part (b).
P-value =
(Use four decimals in your answer)
(d) Correctly complete the concluding statement. Use a =
0.03.
a) fail to reject
a) median
v the null hypothesis. From these data, I can infer that the b mean
From these data, I would b) reject
change in the heart rate between those who consumed Decaffeinated coffee and those who consumed Caffeinated coffee is statistically
a) significant
bj insignificant"
c) standard deviation
(e) Complete the 97% confidence interval estimate for the difference in the mean heart rate change between Decaffeinated and Caffeinated coffee drinkers. Ensure you use three decimals in each of your answers.
< H DeCaf
HCaf <
Transcribed Image Text:(b) Levenes Test was applied to the data that is summarized in the boxplots. This produced a P-value of 0.193335426174131. Given what you know about these data, compute the test statistic used to test the null hypothesis in part (a) . Test Statistic = (Use three decimals in your answer) (c) Compute the P-value of the result in part (b). P-value = (Use four decimals in your answer) (d) Correctly complete the concluding statement. Use a = 0.03. a) fail to reject a) median v the null hypothesis. From these data, I can infer that the b mean From these data, I would b) reject change in the heart rate between those who consumed Decaffeinated coffee and those who consumed Caffeinated coffee is statistically a) significant bj insignificant" c) standard deviation (e) Complete the 97% confidence interval estimate for the difference in the mean heart rate change between Decaffeinated and Caffeinated coffee drinkers. Ensure you use three decimals in each of your answers. < H DeCaf HCaf <
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