Answer to Question #5196 in Statistics and Probability for lynn
At first we calculate standard deviation of a sample: sigma=sqrt(summ((xi-m)^2)/(n-1))=6.02
Now, we calculate statistic: (51.5-60)/6.02=-1.41.
t-value for alpha=0.05 with 9 degrees of freedom is -1.83, so there is not enough evidence to reject H0.
If we use 90% confidence level we get t-value of -1.383 so we would reject H0, so the runners' pulse would be believed to be slower.
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