Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Nicotine in Cigarettes Refer to the nicotine contents of cigarettes listed in Da

ID: 3234075 • Letter: N

Question

Nicotine in Cigarettes Refer to the nicotine contents of cigarettes listed in Data:

Data Set: Cigarette Tar, Nicotine, and Carbon Monoxide

Carbon

Monoxide

TAR

NICOTINE

CO

16

1.2

15

16

1.2

15

16

1.0

17

9

0.8

6

1

0.1

1

8

0.8

8

10

0.8

10

16

1.0

17

14

1.0

13

13

1.0

13

13

1.1

13

15

1.2

15

16

1.2

15

9

0.7

11

11

0.9

15

2

0.2

3

18

1.4

18

15

1.2

15

13

1.1

12

15

1.0

16

17

1.3

16

9

0.8

10

12

1.0

10

14

1.0

17

5

0.5

7

6

0.6

7

8

0.7

11

18

1.4

15

16

1.1

18

Use the sample data to test the claim that the population mean is less than 1.0 mg. Does the conclusion apply to the mean nicotine level of all 100 mm cigarettes (not menthol or light) smoked by consumers? Why or why not? Use a significance level of 0.05.

Data Set: Cigarette Tar, Nicotine, and Carbon Monoxide

Carbon

Monoxide

TAR

NICOTINE

CO

16

1.2

15

16

1.2

15

16

1.0

17

9

0.8

6

1

0.1

1

8

0.8

8

10

0.8

10

16

1.0

17

14

1.0

13

13

1.0

13

13

1.1

13

15

1.2

15

16

1.2

15

9

0.7

11

11

0.9

15

2

0.2

3

18

1.4

18

15

1.2

15

13

1.1

12

15

1.0

16

17

1.3

16

9

0.8

10

12

1.0

10

14

1.0

17

5

0.5

7

6

0.6

7

8

0.7

11

18

1.4

15

16

1.1

18

Explanation / Answer

Data:    

n = 29   

= 1   

s = 0.313   

x-bar = 0.941   

Hypotheses:    

Ho: 1   

Ha: < 1   

Decision Rule:    

= 0.05   

Degrees of freedom = 29 - 1 = 28

Critical t- score = -1.701130908   

Reject Ho if t < -1.701130908   

Test Statistic:    

SE = s/n = 0.313/29 = 0.058122641

t = (x-bar - )/SE = (0.941 - 1)/0.0581226408494172 = -1.015094964

p- value = 0.15937615   

Decision (in terms of the hypotheses):    

Since -1.015094964 > -1.701130908 we fail to reject Ho

Conclusion (in terms of the problem):    

There is no sufficient evidence that < 1 mg

Yes the conclusion applies to the mean nicotine level of all 100 mm cigarettes (not menthol or light) smoked by consumers.

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote