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The reserve capacities (in hours) of 18 randomly selected automotive batteries are listed below. Use a 99% level of confidence to analyze the data.

1.70, 1.60, 1.94, 1.58, 1.74, 1.60, 1.86, 1.72, 1.38, 1.46, 1.64, 1.49, 1.55, 1.70, 1.75, 0.88, 1.77, 2.07

(Adapted from Consumer Reports)

Answer :

Answer:

99% confidence interval is (1.75, 5.61)

Step-by-step explanation:

From the data above, mean is 3.68 and sd is 2.06. n = 18, degree of freedom = n-1 = 18-1 = 17. t-value corresponding to 17 degrees of freedom and 99% confidence level is 3.965

Confidence Interval (CI) = mean + or - (t×sd)/√n

CI = 3.68 + (3.965×2.06)/√18 = 3.68 + 8.1679/4.243 = 3.68 + 1.93 = 5.61

CI = 3.68 - (3.965×2.06)/√18 = 3.68 - 8.1678/4.243 = 3.68 - 1.93 = 1.75

99% confidence interval is (1.75, 5.61)

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