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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 ( < 655) ≡ P [ |(
- 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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