Hyundai Motor Company is conducting tests to determine the distance that a parti

Question

Hyundai Motor Company is conducting tests to determine the distance that a particular model of automobile will travel while consuming only 1 gallon of gas. A sample of twelve cars is tested: a mean of 29.7 miles and standard deviation of 1.2 miles is obtained. Construct an 90% confidence interval for the mean distance traveled by all such cars using 1 gallon of gas. Use only the appropriate formula and/or statistical table in your textbook to answer this question. Negative amounts should be indicated by a minus sign. Report your answer to 2 decimal places, using conventional rounding rules.

Explanation / Answer

sample size i.e n = 12

sample mean = 29.7

sample standard deviation i.e = 1.2

standard deviation of mean distance travelled = /n = 1.2/12 = 0.3464

90% confindence interval is (mean-1.645*sd, mean+ 1.645*sd)

90% confindence interval for the mean distance traveled by all such cars using 1 gallon of gas i.e (29.7-1.645*0.3464, 29.7+1.645*0.3464) i.e (29.13, 30.27)

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