(1 point) According to data from the Tobacco Institute Testing Laboratory, a cer

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 n = 15 cigarettes, measuring the nicotine content (in milligrams) of each cigarette. The data is given below: 1.8, 1.5, 1.7,2.1, 1.7, 1.3,1.7,1.6,1.9,1.3,1.2,1.4,1.7, 1.6, 1.1;Download.csv file (a) Do the data follow an approximately Normal distribution? Use alpha = 0.05. ? (b) Determine the P-value for this Normality test, to at least three decimal places. (c) Choose the correct statistical hypotheses. A. Ho : X = 1.4, HA : X 1.4 B, Ho : = 1.4 HA : > 1.4 C. Ho : = 1.4, HA : 1.4 D. Ho : > 1.4, HA : 1.4, HA : X

Explanation / Answer

The statistical software output for this problem is:

Shapiro-Wilk goodness-of-fit results:

One sample T hypothesis test:
: Mean of variable
H0 : = 1.4
HA : > 1.4

Hypothesis test results:

Hence,

a) Yes

b) P - value = 0.858

c) Hypotheses: Option B is correct.

d) Test statistic = 2.45

e) p - Value = 0.014

f) Reject

Variable n Stat P-Value Data 15 0.96997029 0.8576

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