SOLUTION: A taxi company claims that its drivers have an average of at least 12.4 years’ experience. In a study of 15 taxi drivers, the average experience was 11.2 years. The standard deviat

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Question 748918: A taxi company claims that its drivers have an average of at least 12.4 years’ experience. In a study of 15 taxi drivers, the average experience was 11.2 years. The standard deviation was 2. At α = 0.10, is the number of years’ experience of the taxi drivers really less than the taxi company claimed?
Answer by reviewermath(1029) About Me  (Show Source):
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Null Hypothesis, H0: µ ≥ 12.4
Alternative Hypothesis, H1: µ < 12.4

α = 0.10

Test Statistic, t = %2811.2+-+12.4%29%2F%282%2Fsqrt%2815%29%29 = -2.3238
Critical t: -1.3450
P-Value: 0.0179
Reject the Null Hypothesis because the p-value is less than 0.10.
Sample provides evidence to reject the claim that drivers have an average of at least 12.4 years' experience.