From now on, lan plans to get n weight measurements in different parts of the house to work out an average weight every day. If he wants his average weight to be 0.1 kg within his true weight 95 per cent of the time, how many places in the house does he have to measure each day? (hint: You may assume measurement errors are Normally distributed and that he measures places in the house far enough apart that the measurement errors are independent.) O n=2 O n=4 O n=3 O None of these numerical answers are correct

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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lan is trying to get healthy and records his weight on a scale every morning. His floor is uneven and
every place he tries in the house has a slightly different slope in the floor, causing an error in the
scale measurement of his weight. He reasons that, on average, the floor is even but that the
unevenness in particular places creates an error around his weight measurement. One day, he goes
to the gym and gets a super-accurate measure of his weight, and then he comes straight home to
measure himself on his scale a number of times in different places, and comes to the conclusion that
the standard deviation of the measurement error in his scale because of the uneven floor is 0.1 of a
kg. You may assume he is correct.
From now on, lan plans to get n weight measurements in different parts of the house to work out an
average weight every day. If he wants his average weight to be 0.1 kg within his true weight 95 per
cent of the time, how many places in the house does he have to measure each day?
(hint: You may assume measurement errors are Normally distributed and that he measures places in
the house far enough apart that the measurement errors are independent.)
n=2
O n=4
O n=3
O None of these numerical answers are correct
Transcribed Image Text:* Difficult Question lan is trying to get healthy and records his weight on a scale every morning. His floor is uneven and every place he tries in the house has a slightly different slope in the floor, causing an error in the scale measurement of his weight. He reasons that, on average, the floor is even but that the unevenness in particular places creates an error around his weight measurement. One day, he goes to the gym and gets a super-accurate measure of his weight, and then he comes straight home to measure himself on his scale a number of times in different places, and comes to the conclusion that the standard deviation of the measurement error in his scale because of the uneven floor is 0.1 of a kg. You may assume he is correct. From now on, lan plans to get n weight measurements in different parts of the house to work out an average weight every day. If he wants his average weight to be 0.1 kg within his true weight 95 per cent of the time, how many places in the house does he have to measure each day? (hint: You may assume measurement errors are Normally distributed and that he measures places in the house far enough apart that the measurement errors are independent.) n=2 O n=4 O n=3 O None of these numerical answers are correct
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