A study of the ability of individuals to walk in a straight line reported the ac
ID: 3153752 • Letter: A
Question
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 n = 20 randomly selected healthy men. 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 (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. With 95% confidence, the value of the true mean cadence of all such men falls above the confidence interval. O 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 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.)Explanation / Answer
a) 95% Confidence interval for mean is,[ 0.8890447 , 0.9619553 ] .
With 95% confidence, the value of true mean cadence of all such men fall inside the interval.
b) 95% prediction interval is, [ 0.7626273 , 1.088373 ]
If this bound is calculated sample after sample,in the long run, 95% of these bounds will capture a future individual value of cadence for a healthy man.
c) the interval that includes at least 99% of the cadence in the population distribution using a confidence level 95% is ,[ 0.81 , 1.08 ]
We can be 95% confident that the interval includes at least 99% of the cadence values in the population
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