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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 0.87 1.00 0.92 0.85 0.81 0.78 0.93 0.93 1.03 0.93 1.06 1.06 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 Minit follows. Variable N Mean Median TrMean StDev SEMean cadence 20 0.9255 0.9300 0.9261 0.0798 0.0179 Variable Min Маx Q1 Q3 cadence 0.7800 1.0600 0.8600 0.9750 (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 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 two decimal places.) D strides per second Interpret this interval. 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. 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. TE this bound

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 0.87 1.00 0.92 0.85 0.81 0.78 0.93 0.93 1.03 0.93 1.06 1.06 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 Minit follows. Variable N Mean Median TrMean StDev SEMean cadence 20 0.9255 0.9300 0.9261 0.0798 0.0179 Variable Min Маx Q1 Q3 cadence 0.7800 1.0600 0.8600 0.9750 (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 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 two decimal places.) D strides per second Interpret this interval. 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. 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. TE this bound

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 0.87 1.00 0.92 0.85 0.81 0.78 0.93 0.93 1.03 0.93 1.06 1.06 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 Minita follows. Variable N Мean Median TrMean StDev SEMean cadence 20 0.9255 0.9300 0.9261 0.0798 0.0179 Variable Min Маx Q1 Q3 cadence 0.7800 1.0600 0.8600 0.9750 (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 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 two decimal places.) strides per second Interpret this interval. 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. 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.
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 0.87 1.00 0.92 0.85 0.81 0.78 0.93 0.93 1.03 0.93 1.06 1.06 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 Minita follows. Variable N Мean Median TrMean StDev SEMean cadence 20 0.9255 0.9300 0.9261 0.0798 0.0179 Variable Min Маx Q1 Q3 cadence 0.7800 1.0600 0.8600 0.9750 (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 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 two decimal places.) strides per second Interpret this interval. 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. 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.
(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 5% confident that the interval includes at least 99% 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 1% confident that the interval includes at least 95% 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:(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 5% confident that the interval includes at least 99% 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 1% confident that the interval includes at least 95% 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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