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It is advertised that the average braking distance for a small car traveling at 65 miles per hour is less than 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 36 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 115 feet. Assume that the population standard deviation is 22 feet.
1) State the null and the alternative hypotheses for the test
2) Calculate the value of the test statistic and the p-value.
3) Use a=0.10 to determine if the average breaking distance differs from 120 feet
4) Repeat the test using the critical value approach.
What is the probability that an improperly adjusted machine will produce five or more items before it is stopped? What is the average number of items an improperly adjusted machine will produce before being stopped?
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Be sure to show whether you use the t- or z- value, and what value you use. Interpret the confidence interval in a single sentence. In another sentence, state why you used either the "t" or the "z".
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