Jared's time for the 100 meter sprint is 20.0 seconds at a school where the mean time for the 100 meter sprint is 17.7 seconds and the standard deviation is 2.1 seconds. Find the z-score corresponding to the given value. Is this value unusual? Explain. z = 1.01, yes; unusual because it is more than 1 standard deviation from the mean. z = 1.10, no; not unusual because it is within 2 standard deviations of the mean. z = -1.10, yes; unusual because it is a negative z-score. z = -1.01, no; not unusual because it is less than 2 standard deviations from the mean. z = 0.78, no; not unusual because it is less than 2 standard deviations from the mean.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Jared's time for the 100 meter sprint is 20.0 seconds at a school where the mean time for the 100 meter sprint is 17.7 seconds and the standard deviation is 2.1 seconds.
Find the z-score corresponding to the given value. Is this value unusual? Explain.
2 0 0 0 0
z = 1.01, yes; unusual because it is more than 1 standard deviation from the mean.
z = 1.10, no; not unusual because it is within 2 standard deviations of the mean.
z = -1.10, yes; unusual because it is a negative z-score.
z = -1.01, no; not unusual because it is less than 2 standard deviations from the mean.
z = 0.78, no; not unusual because it is less than 2 standard deviations from the mean.
Transcribed Image Text:Jared's time for the 100 meter sprint is 20.0 seconds at a school where the mean time for the 100 meter sprint is 17.7 seconds and the standard deviation is 2.1 seconds. Find the z-score corresponding to the given value. Is this value unusual? Explain. 2 0 0 0 0 z = 1.01, yes; unusual because it is more than 1 standard deviation from the mean. z = 1.10, no; not unusual because it is within 2 standard deviations of the mean. z = -1.10, yes; unusual because it is a negative z-score. z = -1.01, no; not unusual because it is less than 2 standard deviations from the mean. z = 0.78, no; not unusual because it is less than 2 standard deviations from the mean.
Expert Solution
Step 1

Given data x = 20.0 secondsμ = 17.7 secondsσ= 2.1 secondsis the value unusual ?

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