Question

According to data from the Tobacco Institute Testing Laboratory, Camel Lights king size cigarettes contain an average of 0.61 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 H_a?

a. H₀: μ < 0.61;   H_a: μ = 0.61

b. H₀: μ = 0.61;   H_a: μ < 0.61

    

c. H₀: μ > 0.61;   H_a: μ = 0.61

d. H₀: μ = 0.61;   H_a: μ ≠ 0.61

e. H₀: μ = 0.61;   H_a: μ > 0.61

(b) Suppose that the test statistic is z = 2.08. Is this result significant at the 5% level?

a.Yes, because z < 2.567 and P > .005

b.No, because z > 1.645 and P > .05    

c.Yes, because z > 1.645 and P < .05

d.No, because z < 2.567 and P < .005

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

a.No, because z > 1.282 and P < .10

b.No, because z < 2.326 and P > .01    

c.Yes, because z > 1.282 and P > .10

d.Yes, because z < 2.326 and P < .01

Answer 1

a) The null and the alternative hypotheses are,

H0: μ = 0.61;   Ha: μ > 0.61

b) Test statiatic is, Z = 2.08

Z-critical value at 5% level for right-tailed test is, 1.645

p-value = P(Z > 2.08) = 0.0188

Therefore, result is significant

Yes, because z > 1.645 and P < 0.05

c) z-critical value at 1% level is, 2.326

Therefore, is not significant.

No, because z < 2.326 and P > 0.01