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According to data, a particular brand of cigarettes contain an average of 1.6 mi

ID: 3177553 • Letter: A

Question

According to data, a particular brand of cigarettes contain an average of 1.6 milligrams of nicotine. An advocacy group commissions an independent test to see if the mean nicotine content is higher than the industry laboratory claims.

(a) What are H0 and Ha?

H0: < 0.0 mg;   Ha: = 0.0 mg

H0: = 1.6 mg;   Ha: 1.6 mg

H0: = 1.6 mg;   Ha: > 1.6 mg

H0: = 0.0 mg;   Ha: > 0.0 mg

H0: > 1.6 mg;   Ha: = 1.6 mg

(b) Suppose that the test statistic is z = 2.35. Is this result significant at the 5% level?

Yes, because z > 1.645 and P < 0.05.

Yes, because z < 1.645 and P < 0.05.     

No, because z > 1.645 and P > 0.05.

No, because z < 1.645 and P > 0.05.

Yes, because z > 1.645 and P > 0.05.

(c) Is the result significant at the 1% level?

No, because z > 2.326 and P > 0.01.

Yes, because z < 2.326 and P < 0.01.     

Yes, because z > 2.326 and P < 0.01

No, because z < 2.326 and P > 0.01.

No, because z > 2.326 and P > 0.01.

Explanation / Answer

null, Ho: =1.6
alternate,mean nicotine content is higher than the industry laboratory claims H1: >1.6
RIGHT TAILED          
Critical Value
The Value of Z at LOS is +1.645  
Yes, because z > 1.645 and P < 0.05.      
P-Value : Right Tail - Ha :( P > 2.35) = 0.0094          
Yes, because z > 2.326 and P < 0.01

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