Hypothesis Testing Problem

Question

A random sample of 8 cigarette of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams. Is this in line with the manufacturer’s claim that the average nicotine content does not exceed to 3.5 milligrams? Use a 0.05 level of significance and assume the distribution of nicotine to be normal.

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Mathematics Ayra Rañola 4 months 1 Answer 72 views 0

Answer ( 1 )

  1. Here,

    df = 8 – 1 = 7

    Also,

    Z = (4.2-3.5)/(1.2√8) = 0.2062

    From t table, for df = 7 and level of significance 0.05, we have value 1.895 which is greater than z value hence this is in line with manufacutrer’s claim.

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