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1 point) According to data from the Tobacco Institute TestingLaboratory, a certain brand of cigarette contains an average of 1.4milligrams of nicotine. An advocacy group questions this figure,and commissions an independent test to see if the the mean nicotinecontent is higher than the industry laboratory claims.
The test involved randomly selecting ?=15n=15 cigarettes, measuringthe nicotine content (in milligrams) of each cigarette. The data isgiven 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? Usealpha = 0.05.   ? yes no  

(b) Determine the ?P-value for this Normality test, to threedecimal 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, usetwo decimals in your answer.
Test Statistic =

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

(f) Based on the above calculations, we should  ? rejectnot reject  the null hypothesis. Use alpha = 0.05