Numerical analysis

Testing Hypotheses. Use critical value method or p-value method for testing hypotheses. Identify the null and alternative hypothesis, test statistics, p-value (or range of p-values), critical value(s) and  state the final conclusion that addresses the original claim.

Ages of Race: Car Drivers Listed below are the ages (years) of randomly selected race car drivers (based on data reported in USA Today). Use a 0.05 significance level to test the claim that the mean age of all race car drivers is greater than 30 years.
32 32 33 33 41 29 38 32 33 23 27 45 52 29 25
9.2.18 (Inferences of two samples)
Marathon Finishers: In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also, 12, 883 women finished and 163 dropped out (based on data from the New York Times). We want to use a 0.01 significance level to test the claim that the rate of those who finish is the same for men and women.
a. Test the claim using a hypotheses test
b. Test the claim by constructing an appropriate confidence interval.
c. Based on the results, do men and women finish the New York City at the same rate?


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