Question

In: Statistics and Probability

(4.19) In a survey of 12 owners of a certain model of car, the following values...

(4.19) In a survey of 12 owners of a certain model of car, the following values for average fuel consumption were reported.

25.5 31.1 29.6 32.4 39.4 28.9 33.3 31.4 29.5 30.5 31.7 29.2

Calculate the mean value, the standard deviation, and the standard error of the mean with the reported consumption values. Express the mean consumption value and the possible error in the mean expressed to 95.4% confidence level.

Solutions

Expert Solution

Given:

In a survey of 12 owners of a certain model of car, the following values for average fuel consumption were reported.

25.5, 31.1, 29.6, 32.4, 39.4, 28.9, 33.3, 31.4, 29.5, 30.5, 31.7, 29.2

Significance level, = 1-0.954 = 0.046

Therefore

a) The mean value = 31.04

b) The standard deviation = 3.31

c) The standard error of the mean = 0.96

d) 95.4% confidence interval is (28.88, 33.20) ...........

( round to 2 decimal places)


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