Question

1 point) According to data from the Tobacco Institute Testing Laboratory, a certain brand of cigarette contains an average of 1.4 milligrams of nicotine. An advocacy group questions this figure, and commissions an independent test to see if the the mean nicotine content is higher than the industry laboratory claims.
The test involved randomly selecting ?=15n=15 cigarettes, measuring the nicotine content (in milligrams) of each cigarette. The data is given below.

1.7,1.6,1.8,2.0,1.4,1.4,1.9,1.6,1.3,1.5,1.2,1.4,1.7,1.2,1.51.7,1.6,1.8,2.0,1.4,1.4,1.9,1.6,1.3,1.5,1.2,1.4,1.7,1.2,1.5

(a) Do the data follow an approximately Normal distribution? Use alpha = 0.05.   ? yes no  

(b) Determine the ?P-value for this Normality test, to three decimal places.
?=P=

(c) Choose the correct statistical hypotheses.
A. ?0:?⎯⎯⎯⎯⎯=1.4,??:?⎯⎯⎯⎯⎯≠1.4H0:X¯=1.4,HA:X¯≠1.4
B. ?0:?⎯⎯⎯⎯⎯>1.4,??:?⎯⎯⎯⎯⎯<1.4H0:X¯>1.4,HA:X¯<1.4
C. ?0:?⎯⎯⎯⎯⎯=1.4,??:?⎯⎯⎯⎯⎯<1.4H0:X¯=1.4,HA:X¯<1.4
D. ?0:?=1.4,??:?≠1.4H0:μ=1.4,HA:μ≠1.4
E. ?0:?>1.4,??:?<1.4H0:μ>1.4,HA:μ<1.4
F. ?0:?=1.4??:?>1.4H0:μ=1.4HA:μ>1.4


(d) Determine the value of the test statistic for this test, use two decimals in your answer.
Test Statistic =

(e Determine the ?P-value for this test, to three decimal places.
?=P=

(f) Based on the above calculations, we should  ? reject not reject  the null hypothesis. Use alpha = 0.05

Answer 1