2.38 Who is Paying Mora at the Pump7 The prices below are for regular gasoline (
ID: 2973364 • Letter: 2
Question
2.38 Who is Paying Mora at the Pump7 The prices below are for regular gasoline (per litre) as of 6/2812009, 4:17:51 PM local time. Area Price Alberta 95.863 Ontario 97.902 New Brunswick 101.144 Manitoba 103.379 Quebec 103.621 Nova Scotia 105.720 Saskatchewan 106.006 British Columbia 109.722 Newfoundland 114.246 a. Find the standard deviation of these values. b. Find the range R. Compare the range and the standard deviation. Is range related to standard deviation, in any sense? c. Use range to approximate the standard deviation. Is this a good approximation? d. Subtract 0.5 from every observation and calculate the variance for the original data and the new data. What effect, if any, does subtracting 0.5 from every observation have on the sample variance? e. What percentage of the measurements will lie within three standard deviations of the overall mean? Does the result agree with Tchebysheff's Theorem? f. Find the percentage of measurements in the intervals x -'- sand x -'- 2s. Compare these results with the Empirical Rule percentages, and comment on the shape of the distribution. g. In how many provinces is the average gas price stabilized? Note that x -'- s means : mean +- standard deviationExplanation / Answer
Variance[{95.863, 97.902, 101.144, 103.379, 103.621, 105.720, 106.006,
109.722, 114.246}]=32.06
s.d=32.06=5.66
Range=(95.86,114.246)
after subtracting 0.5 S.D=5.66
there is no effect of subtracting 0.5 from each
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