8. 0.1 points Devore Stat9 7.E.037 My Notes Ask Your A study of the ability of i

Question

8. 0.1 points Devore Stat9 7.E.037 My Notes Ask Your A study of the ability of individuals to walk in a straight line reported the accompanying data on cadence (strides per second) for a sample of n20 randomly selected healthy men. 0.95 0.85 0.92 0.95 0.93 0.89 1.00 0.92 0.85 0.81 0.76 0.93 0.93 1.02 0.93 1.06 1.08 0.96 0.81 0.99 A normal probability plot gives substantial support to the assumption that the population distribution of cadence is approximately normal. A descriptive summary of the data from Minitab follows Dev Variable cadence Variable cadence Mean Median TrMean St SEMean 20 0.9270 .9300 0.92780.0827 0.0185 Min 0.7600 1.0800 0.8700 0.9750 Max 93 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to four decimal places.) strides per second Interpret this interval 0 with 95% confidence, the value of the true mean cadence of all such men falls below the confidence interval o with 95% confidence, the value of the true mean cadence of all such men falls above the confidence interval. 0 with 95% confidence, the value of the true mean cadence of all such men falls inside the confidence interval (b) Calculate and interpret a 95% prediction interval for the cadence of a single individual randomly selected from this population. (Round your answers to four decimal places.) ) strides per second ,

Explanation / Answer

a)

(xbar - t * sd*sqrt(1/n)) , xbar + t * sd*sqrt(1/n))

t = 2.091892

Variable   N    Mean   StDev SE Mean       95% CI
C2        20 0.9270 0.0827   0.0185 (0.8883, 0.9657)

interpret

option C) is correct

b)

prediction interval

(xbar - t * sd*sqrt(1+ 1/n)) , xbar + t * sd*sqrt(1+ 1/n))

=(0.7497,1.1043)

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