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(a) In one sample of mobile homes in the Los Angeles area, the mean NO2 concentration in kitchens during the summer was 36.66 ppb, and the standard deviation was 11.44. Making no assumptions about the shape of the NO2 distribution, what can be said about the percentage of observations between 13.78 and 59.54? (Round the answer to the nearest whole number.
That interval is 2 std to the left and 2 std to the right of the mean.
Chebyshev says there will be at least (1-(1/2)^2) = 75% of the data in
(b) Inside what interval is it guaranteed that at least 89% of the concentration observations will lie?
Chebyshev says (1-(1/3)^2)% = 89% of the data lies within 3 std
of the mean.
Lower limit: 36.66-3*11.44 = 2.34
Upper limit: 36.66+3*11.44 = 70.98