3-3 example14 - Student Grady Silnonton Course Math119...

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Unformatted text preview: Student: Grady Silnonton Course: Math119: Elementary Statistics - Spring 2010 - CRN: 49239 Instructor: Shawn Parvini - 16 weeks Date: 2/18/10 Book: Triola: Elementary Statistics, 11e Time: 1:50 PM The mean of electrical energy consumption amounts for a home during a two-month period is 2851 kWh, and the standard deviation is 488 kWh. Use the range rule of thumb to identify minimum and maximum "usua “ amounts of electrical energy consumption. For one particular two-month period, the power company recorded consumption of 1820 kWh. Is that amount unusual? Recall that if the standard deviation is known, it can be used to find rough estimates of the minimum and maximum "usual" sample values by using the following equations. minimum "usual" value = (mean) — 2 X (standard deviation) maximum "usual" value = (mean) + 2 X (standard deviation) As given in the problem statement, the mean is 2851 kWh and the standard deviation is 488 kWh. Use these values to find the minimum and maximum "usual" values. minimum “usual“ value = (mean) — 2 X (standard deviation) = (2851) — 2 X (488) = 1875 kWh maximum "usual" value = (mean) +2 X (standard deviation) = (2851) +2 X (488) = 3827 kWh Based on the results above, a typical two-month period for this house would consume between 1875 kWh and 3827 kWh of electrical energy. If 1820 kWh falls within these limits, it would be considered usual. If 1820 kWh does not fall within these limits, it would be considered unusual. Page 1 ...
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