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(Solved): In a publication of a well-known magazine, it is stated that cars travel an average of at least 20,0 ...



In a publication of a well-known magazine, it is stated that cars travel an average of at least 20,000 kilometers per year, but you believe that the average is actually less. To test this claim, a randomly selected sample of 100 car owners is asked to keep track of the miles they travel. Would you agree with this statement if the random sample indicated a mean of 19,000 kilometers and a standard deviation of 3,900 kilometers? Use a significance level of 0.05 and for your engineering conclusion use:

a) The classical method.

b) The P-value method as an auxiliary.

Use four decimal places for the calculation*NO Excel*



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Solution Given that, ? = 20,000, x? = 19,000, s = 3,900 and n = 100 • Null and alternative hypothesis...... Ho: ? ? 20,000, Ha: ? < 20,000 • Test statistic = (x? - ?)/s÷?n = (x? - ?)×?n/s = (19,000 - 20,000
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