The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1200 hours and a standard deviation of 35 hours. Using the empirical rule, determine what interval of hours represents the lifespan of the middle 68% of light bulbs.

Answers

Answer 1

Answer:

(1165, 1235) (hours)

Step-by-step explanation:

The "middle 68%" of a set of normally distributed data is that data that lies within ONE standard deviation of the mean:

(1200 - 35, 1200 + 35), or

(1165, 1235) (hours)

This is an application of the Empirical Rule.

Answer 2

The interval of hours represents the lifespan of the middle 68% of light bulbs is (1165, 1235) (hours).

What is the standard deviation?

It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.

With a mean of 1200 hours and a standard variation of 35 hours, the length of time a certain brand of light bulb lasts is typically distributed.

The data that is within one standard deviation of the mean is referred to as the "middle 68 percent" of a collection of normally distributed data:

The interval of hours represents the lifespan of the middle 68% of light bulbs is found as;

(1200 - 35)=1165

( 1200 + 35)=1235

(1165, 1235) (hours)

Hence,the interval of hours represents the lifespan of the middle 68% of light bulbs is (1165, 1235) (hours).

To learn more about the standard deviation refer to:

https://brainly.com/question/16555520

#SPJ2

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