question archive Studies Shows That CNG Use For Sedan Car Sold In India Is Normally Distributed With A Mean Of 25

Studies Shows That CNG Use For Sedan Car Sold In India Is Normally Distributed With A Mean Of 25

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Studies Shows That CNG Use For Sedan Car Sold In India Is Normally Distributed With A Mean Of 25.5km/ Kg And A Standard Deviation Of 4.5km/G. To Get A Competitive Edge, A Manufacturer Wishes To Develop A Sedan Car That Outperforms 95% Of The Existing Sedan In Fuel Economy, What Must Be The CNG Use Rate For The New Car Be ?

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Answer:

CNG=32.925

Step-by-step explanation

Consider the z score formula

z= (x-?μ? )/SD

The corresponding z-score for 0.95 (single tailed) is 1.65. By using this value we an solve for x using the formula above.

1.65=(x-25.5)/4.5

7.425=x-25.5

x=32.925

32.925 km/kg serves as a benchmark to outdo 95 percent of the population