The operation manager at a tire manufacturing company believes that the mean mileage of a tire is21,009 miles with a variance of

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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is21,009 miles with a variance of

6,220,036. What is the probability that the sample mean would differ from the population mean by less than 655 miles in a sample of 79 tires if the manager is correct

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1 answer:

max2010maxim [7] · Answer 1 · 2023-06-23T05:29:19+03:00

The probability that the sample mean would differ from the population mean by less than 655 miles in a sample of 79 tires if the manager is correct is = 0.9805.

<h3>

What is the calculation for the above?</h3>

P ( $\bar{x}$ < 655) ≡ P [ |( $\bar{x}$ - μ)/√(σ²/n) | <655/√(6,220,036/ 79)]

= P (| Z | < 3.55)

= P - 3.55 < Z < 3.55) Using the z -score table

= 0.9998 - 0.0193

= 0.9805

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