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 0.86 1.00 0.92 0.85 0.81 0.78 0.93 0.93 1.02 0.93 1.06 1.06 0.96 0.81 0.98 Assume the population distribution of cadence is approximately normal. A descriptive summary of the data is as follows: Variable cadence Variable cadence N 20 Mean 0.9240 Min 0.7800 Median 0.9300 Max 1.0600 St Dev 0.0792 01 0.8550 Q3 0.9700 (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. O With 95% confidence, the value of the true mean cadence of all such men falls within the confidence interval. O The probability the true mean cadence is within this interval is 0.95. 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.

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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 0.86 1.00 0.92 0.85 0.81
0.78 0.93 0.93 1.02 0.93 1.06 1.06 0.96 0.81 0.98
Assume the population distribution of cadence is approximately normal. A descriptive summary of the data is as follows:
Variable
cadence
Variable
cadence
N
20
Mean
0.9240
Min
0.7800
Median
0.9300
Max
1.0600
St Dev
0.0792
Q1
0.8550
Q3
0.9700
(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 within the confidence interval.
The probability the true mean cadence is within this interval is 0.95.
With 95% confidence, the value of the true mean cadence of all such men falls above the confidence interval.
With 95% confidence, the value of the true mean cadence of all such men falls below the confidence interval.
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 0.86 1.00 0.92 0.85 0.81 0.78 0.93 0.93 1.02 0.93 1.06 1.06 0.96 0.81 0.98 Assume the population distribution of cadence is approximately normal. A descriptive summary of the data is as follows: Variable cadence Variable cadence N 20 Mean 0.9240 Min 0.7800 Median 0.9300 Max 1.0600 St Dev 0.0792 Q1 0.8550 Q3 0.9700 (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 within the confidence interval. The probability the true mean cadence is within this interval is 0.95. With 95% confidence, the value of the true mean cadence of all such men falls above the confidence interval. With 95% confidence, the value of the true mean cadence of all such men falls below the confidence interval.
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