Question

When people smoke, the nicotine they absorb is converted to cotinine, which can be measured.A random...

When people smoke, the nicotine they absorb is converted to cotinine, which can be measured.A random sample of 40 smokers has a mean cotinine level of 172.5 ng/ml with a sample standard deviation of 119.5 ng/ml. Use a 0.05 significance level to test the claim that the mean cotinine level of smokers is equal to 200ng/ml.

H0: μ___200 For Q23(circle one: equal to, less than , greater than, not equal to)

H1: μ___200 For Q24 (circle one:equal to, less than, greater than, not equal to)

Test Statistic t=__________ Q25 (ROUND TO 2 DECIMAL PLACES)

P-value: p =_____________ Q26 (ROUND TO4 DECIMAL PLACES)

Decision:________________________Q27 (circle one:Reject H0 , Fail to Reject H0)

Conclusion:_________________________________________________________

Q28 Circle one for the conclusion:

There is sufficient evidence to warrant the rejection of the claim.

OR

There is not sufficient evidence to warrant the rejection of the claim

Homework Answers

Answer #1

Solution :

= 200

= 172.5

s =119.5

n = 405

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 200

Ha :     200

Test statistic = t

= ( - ) / s / n

= ( 172.5- 200) /119.5 / 40

= -1.455

Test statistic = t = -1.455

P-value =0.1535

= 0.05  

P-value >

0.1535 > 0.05

Fail to reject the null hypothesis .

There is not sufficient evidence to warrant the rejection of the claim

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