In 12 test runs over a marked course, a newly designed motorboat averaged 33.6 seconds with a standard deviation of 2.3 seconds. Assuming that it is reason-able to treat the data as a random sample from a normal population, use the four steps on page 354 to test the null hypothesis µ = 35 against the alternative µ < 35 at the 0.05 level of significance.
Answer to relevant QuestionsWith reference to the preceding exercise, find the required size of the sample when σ = 9, µ0 = 15, µ1 = 20, α = 0.05, and β = 0.01. With reference to Example 13.4, for what values of x1 – x2 would the null hypothesis have been rejected? Also find the probabilities of type II errors with the given criterion if (a) µ1 – µ2 = 0.12; (b) µ1 – µ2 = ...To compare two kinds of front- end designs, six of each kind were installed on a certain make of compact car. Then each car was run into a concrete wall at 5 miles per hour, and the following are the costs of the repairs (in ...Use the method of Exercise 13.7 to rework Exercise 13.49. In exercise In a random sample, s = 2.53 minutes for the amount of time that 30 women took to complete the writ-ten test for their driver’s licenses. At the 0.05 ...Making use of the fact that the chi-square distribution can be approximated with a normal distribution when v, the number of degrees of freedom, is large, show that for large samples from normal populations Is an approximate ...
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