An aircraft engine manufacturing company is launching a new product and wants to ensure that its tolerance on a turbine is within 0.1% of the turbine's target size of 500 cm with a 99% confidence. It samples 23 turbines and concludes that the average turbine is 500.5 cm and estimates that the standard deviation is 0.5 cm. Based on the table, what is the appropriate t-value? Confidence Interval df 80% 90% 95% 99% 22 1.321 1.717 2.074 2.819 23 1.319 1.714 2.069 2.807 24 1.318 1.711 2.064 2.797 z-score 1.282 1.645 1.960 2.576
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Step 1:** Calculate the margin of error using the formula: \[ \text{Margin of Error} = \text{t-value} \times \left( \frac{\text{standard deviation}}{\sqrt{n}} \right) \] ** Show more…
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