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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. 0.93 0.85 0.92 0.95 0.93 0.85 1.00 0.92 0.85 0.81 0.77 0.93 0.93 1.04 0.93 1.06 1.07 0.96 0.81 0.95 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. Variable Mean Median TrMean StDev SEMean cadence 20 0.9230 0.9300 0.9233 0.0821 0.0184 Variable Min Маx Q1 Q3 cadence 0.7700 1.0700 0.8500 0.9550 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to two decimal places.) 1) strides per second Interpret this interval. O with 95% confidence, the value of the true mean cadence of all such men falls inside 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 above 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 two decimal places.) strides per second

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. 0.93 0.85 0.92 0.95 0.93 0.85 1.00 0.92 0.85 0.81 0.77 0.93 0.93 1.04 0.93 1.06 1.07 0.96 0.81 0.95 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. Variable Mean Median TrMean StDev SEMean cadence 20 0.9230 0.9300 0.9233 0.0821 0.0184 Variable Min Маx Q1 Q3 cadence 0.7700 1.0700 0.8500 0.9550 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to two decimal places.) 1) strides per second Interpret this interval. O with 95% confidence, the value of the true mean cadence of all such men falls inside 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 above 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 two decimal places.) strides per second

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. 0.93 0.85 0.92 0.95 0.93 0.85 1.00 0.92 0.85 0.81 0.77 0.93 0.93 1.04 0.93 1.06 1.07 0.96 0.81 0.95 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. Variable N Mean Median TrMean StDev SEMean cadence 20 0.9230 0.9300 0.9233 0.0821 0.0184 Variable Min Маx Q1 Q3 cadence 0.7700 1.0700 0.8500 0.9550 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to two decimal places.) ) strides per second Interpret this interval. O with 95% confidence, the value of the true mean cadence of all such men falls inside 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 above 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 two decimal places.) strides per second Interpret this interval. O If this bound is calculated sample after sample, in the long run, 95% of these bounds will fail to capture a future individual value of cadence for a healthy man. O If this bound is calculated once, there is a 95% chance that these bounds will capture a future individual value of cadence for a healthy man. O If this bound is calculated once, there is a 5% chance that these bounds will capture a future individual value of cadence for a healthy man. O 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) Calculate an interval that includes at least 99% of the cadences in the population distribution using a confidence level of 95%. (Round your answers to four decimal places.) strides per second Interpret this interval. O we can be 1% confident that the interval includes at least 95% of the cadence values in the population. O we can be 95% confident that the interval includes at least 99% of the cadence values in the population. O we can be 5% confident that the interval includes at least 99% of the cadence values in the population. O we can be 99% confident that the interval includes at least 95% of the cadence values in the population.
Transcribed Image Text: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. 0.93 0.85 0.92 0.95 0.93 0.85 1.00 0.92 0.85 0.81 0.77 0.93 0.93 1.04 0.93 1.06 1.07 0.96 0.81 0.95 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. Variable N Mean Median TrMean StDev SEMean cadence 20 0.9230 0.9300 0.9233 0.0821 0.0184 Variable Min Маx Q1 Q3 cadence 0.7700 1.0700 0.8500 0.9550 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to two decimal places.) ) strides per second Interpret this interval. O with 95% confidence, the value of the true mean cadence of all such men falls inside 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 above 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 two decimal places.) strides per second Interpret this interval. O If this bound is calculated sample after sample, in the long run, 95% of these bounds will fail to capture a future individual value of cadence for a healthy man. O If this bound is calculated once, there is a 95% chance that these bounds will capture a future individual value of cadence for a healthy man. O If this bound is calculated once, there is a 5% chance that these bounds will capture a future individual value of cadence for a healthy man. O 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) Calculate an interval that includes at least 99% of the cadences in the population distribution using a confidence level of 95%. (Round your answers to four decimal places.) strides per second Interpret this interval. O we can be 1% confident that the interval includes at least 95% of the cadence values in the population. O we can be 95% confident that the interval includes at least 99% of the cadence values in the population. O we can be 5% confident that the interval includes at least 99% of the cadence values in the population. O we can be 99% confident that the interval includes at least 95% of the cadence values in the population.
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