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

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,

to find the standard deviation using the formula:

We substitute to get:

Therefore the standard deviation is 2.