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# Hypothesis testing

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Use traditional hypothesis test approach. Draw a graph showing the test statistic and critical values. Assume the population has a distribution that is approximately normal and that the sample is a simple random sample. Use either the normal distribution or Student t distribution-check conditions to be sure which is appropriate.

List shows winning time in seconds of men in the 100 meter dash for consecutive summer games listed in order by row. Assuming that these results are sample data randomly selected from the population of all past and future Olympic games, test the claim that the mean time is = to 10.5 seconds. What do you observe about the precision of the numbers? What extremely important characteristic of the data set is not considered in this hypothesis test? Do the results from the hypothesis test suggest that the future winning times should be around 10.5 seconds and is such a conclusion valid?

12.0 11.0 11.0 11.2 10.8 10.8 10.8 10.6 10.8 10.3 10.3 10.3 10.4 10.5 10.2 10.0 9.95 10.14 10.06 10.25 9.99 9.92 9.96