The following data are distances walked on a treading machine by 10, (50-year old) women suffering arthritis Distance (km/ day) 6.6 6.5. 5.7 4.2 4.6 7.0 5.7 4.7 4.9 5.2 a. Calculate the Sum of Squares (SS) for the above data. What is the value of the correction term (CT)? b. According to the physiotherapist the above group of women should at least walk 5.0 km/day. Is the mean distance walked by these women significantly different from the required distance? c. The sample size for the above problem is increased to 300 (n=300). The mean distance walked by this larger group is 4.5 km/day with a standard deviation of 0.8 km. Is this dic. dintongo

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Question 1
The following data are distances walked on a treading machine
by 10, (50-year old) women suffering arthritis
Distance (km/
day)
6.5.
5.7
4.2
4.6
7.0
5.7
4.7
6.6
4.9
5.2
a. Calculate the Sum of Squares (SS) for the above data. What
is the value of the correction term (CT)?
b. According to the physiotherapist the above group of
women should at least walk 5.0 km/day. Is the mean
distance walked by these women significantly different
from the required distance?
c. The sample size for the above problem is increased to 300
(n=300). The mean distance walked by this larger group is
4.5 km/day with a standard deviation of 0.8 km. Is this
distance significantly different from the required distance
of 5 km/day?
Transcribed Image Text:Question 1 The following data are distances walked on a treading machine by 10, (50-year old) women suffering arthritis Distance (km/ day) 6.5. 5.7 4.2 4.6 7.0 5.7 4.7 6.6 4.9 5.2 a. Calculate the Sum of Squares (SS) for the above data. What is the value of the correction term (CT)? b. According to the physiotherapist the above group of women should at least walk 5.0 km/day. Is the mean distance walked by these women significantly different from the required distance? c. The sample size for the above problem is increased to 300 (n=300). The mean distance walked by this larger group is 4.5 km/day with a standard deviation of 0.8 km. Is this distance significantly different from the required distance of 5 km/day?
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