Electricity consumption by the residents in a local community is normally distributed, with a mean of 32 kilowatt-hours per day. Ninety-five

Question

Electricity consumption by the residents in a local community is normally distributed, with a mean of 32 kilowatt-hours per day. Ninety-five percent of the residents use between 28 and 36 kilowatt-hours per day. What is the standard deviation of electricty consumption in the population?

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Rose 3 weeks 2021-09-09T01:08:41+00:00 1 Answer 0

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    2021-09-09T01:10:26+00:00

    Answer:

    The standard deviation is 2

    Step-by-step explanation:

    Electricity consumption by the residents in a local community is normally distributed, with a mean of 32 kilowatt-hours per day.

    We have that, 95% of the residents use between 28 and 36 kilowatt-hours per day.

    According to the empirical rule , 95% of the distribution falls within two standard deviations of the mean.

    We can use the upper x=36, and the mean,

     \mu = 32

    to find the standard deviation using the formula:

     \frac{x -  \mu}{ \sigma}  = z

    We substitute to get:

    \frac{36-  32}{ \sigma}  = 2

    \frac{4}{ \sigma}  = 2 \\ \frac{4}{ 2}  = \sigma \\ \sigma = 2

    Therefore the standard deviation is 2.

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45:7+7-4:2-5:5*4+35:2 =? ( )