A Stihl plant has taken delivery of 1000 LiPo batteries to be used in their hedge trimmers. They test the capacity q of 12 randomly chosen batteries and find a mean of 2200 mAh and a standard deviation of 100 mAh. They also know that the operating time (in hours) is 0.05q - (0.002q — 11)², where q is the capacity in mAh.

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Chapter1: Starting With Matlab
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A Stihl plant has taken delivery of 1000 LiPo batteries to be used
in their hedge trimmers. They test the capacity q of 12 randomly
chosen batteries and find a mean of 2200 mAh and a standard
deviation of 100 mAh. They also know that the operating time (in
hours) is 0.05q - (0.002q — 11)², where q is the capacity in
mAh.
How confident can you be that the mean capacity in that batch
is at least 2140 mAh?
P number (rtol=0.01, atol=0.0001)
You're in a meeting, and the CEO of Stihl asks "so what,
approximately, is the mean and standard deviation of the
operating time?" You realize that you have less than 1 minute
and only your old calculator to come up with some answers, and
you also know that an approximate answer is way better than no
answer at all. What's your answer?
time
o time
?
number (rtol=0.01, atol=0.0001)
number (rtol=0.01, atol=0.0001)
O time
?
Now assume that you have the test data for the battery capacity
q in an array q = [91, 92,.
920000] in Matlab. Write Matlab
code that estimates the standard deviation of the operating
time. What is the standard deviation of the operating time? Hint:
Use command trnd () and N = 20,000.
number (rtol=0.05, atol=0.0001)
Transcribed Image Text:A Stihl plant has taken delivery of 1000 LiPo batteries to be used in their hedge trimmers. They test the capacity q of 12 randomly chosen batteries and find a mean of 2200 mAh and a standard deviation of 100 mAh. They also know that the operating time (in hours) is 0.05q - (0.002q — 11)², where q is the capacity in mAh. How confident can you be that the mean capacity in that batch is at least 2140 mAh? P number (rtol=0.01, atol=0.0001) You're in a meeting, and the CEO of Stihl asks "so what, approximately, is the mean and standard deviation of the operating time?" You realize that you have less than 1 minute and only your old calculator to come up with some answers, and you also know that an approximate answer is way better than no answer at all. What's your answer? time o time ? number (rtol=0.01, atol=0.0001) number (rtol=0.01, atol=0.0001) O time ? Now assume that you have the test data for the battery capacity q in an array q = [91, 92,. 920000] in Matlab. Write Matlab code that estimates the standard deviation of the operating time. What is the standard deviation of the operating time? Hint: Use command trnd () and N = 20,000. number (rtol=0.05, atol=0.0001)
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