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Many electronic devices use disposable batteries, which eventually have to be replaced. Assume that for one particular brand and type of battery, the distribution of the hours of useful power can be approximated well by a Normal model. The mean is 140 hours, and the stand deviation is 4 hours. The marketing department wants to write a guarantee for battery life. What lifespan should they quote so that they can expect 98% of the batteries to meet the guarantee

Respuesta :

They should quote 150 hours so that they can get 98% of the batteries to meet the guarantee.

Given mean of 140 hours and standard deviation of 4 hours with confidence level=98%.

We have to find the lifespan which they should quote to get 98% confident that their batteries meet the guarantee.

We have to use z test for this .

μ=140 hours and σ=4 hours

Z=X-μ/σ

When p value is 0.98 then from z table z value will be 2.58.

Z=X-140/4

2.58=X-140/4

2.58*4=X-140

10.32=X-140

X=150.32

after rounding off we will get 150 hours.

Hence they should quote 150 hours of lifetime on batteries.

Learn more about z test at https://brainly.com/question/14453510

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