MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question 1
5 р
Construct a 95% Z-interval or a 95% t-interval about the population mean. Assume the data come from a population that is approximately normal with no outliers.
Fifteen randomly selected men were asked to run on a treadmill for 6 minutes. After the 6 minutes, their pulses were measured and the following data were obtained:
88
104
124
90
105
94
98
99
114
101
85
84
122
97
101
O 93.7, 107.1); we are 95% confident that the mean pulse rate of men after 6 minutes of exercise is between 93.7 and 107.1 beats per minute.
O (94.9, 105.9); we are 95% confident that the mean pulse rate of men after 6 minutes of exercise is between 94.9 and 105.9 beats per minute.
O 95.2, 105.6); we are 95% confident that the mean pulse rate of men after 6 minutes of exercise is between 95.2 and 105.6 beats per minute.
O (94.2, 106.6); we are 95% confident that the mean pulse rate of men after 6 minutes of exercise is between 94.2 and 106.6 beats per minute.
A Moving to the next auestion prevents changes to this answer.
N.
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Transcribed Image Text:Moving to the next question prevents changes to this answer. Question 1 5 р Construct a 95% Z-interval or a 95% t-interval about the population mean. Assume the data come from a population that is approximately normal with no outliers. Fifteen randomly selected men were asked to run on a treadmill for 6 minutes. After the 6 minutes, their pulses were measured and the following data were obtained: 88 104 124 90 105 94 98 99 114 101 85 84 122 97 101 O 93.7, 107.1); we are 95% confident that the mean pulse rate of men after 6 minutes of exercise is between 93.7 and 107.1 beats per minute. O (94.9, 105.9); we are 95% confident that the mean pulse rate of men after 6 minutes of exercise is between 94.9 and 105.9 beats per minute. O 95.2, 105.6); we are 95% confident that the mean pulse rate of men after 6 minutes of exercise is between 95.2 and 105.6 beats per minute. O (94.2, 106.6); we are 95% confident that the mean pulse rate of men after 6 minutes of exercise is between 94.2 and 106.6 beats per minute. A Moving to the next auestion prevents changes to this answer. N. W hp t1o prt sc fo 144 & 7 E1 Y] 5 96 %24
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Working
x (x-xbar)^2
105 21.16
94 40.96
98 5.76
88 153.76
104 12.96
101 0.36
99 1.96
85 237.16
84 268.96
124 556.96
122 466.56
114 184.96
97 11.56
101 0.36
90 108.16

 

The mean is given by

\overline{x} = \frac{1}{n}\sum x

\overline{x} = \frac{1506}{15} = 100.4

 

The standard deviation is given by

s =\sqrt{\frac{1}{n-1}\sum (x - \overline{x})^2}

s =\sqrt{\frac{2071.6}{14}} =12.16435

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