Question

In: Statistics and Probability

The FlyHi Airplane Manufacturing Co. builds the SB238, a light airplane. FlyHi Airplane Manufacturing claims that...

The FlyHi Airplane Manufacturing Co. builds the SB238, a light airplane. FlyHi Airplane Manufacturing claims that the average takeoff distance for a fully loaded SB238 is less than 500 m. A sample of 9 planes was tested and the average takeoff distance was found to be 530 m with a standard deviation of 37 m. At the .02 significance level, test Smith's claim.

Solutions

Expert Solution

(1) Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

Ho: μ ≥ 500

Ha: μ < 500 ( Claim )

(5) Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the average takeoff distance for a fully loaded SB238 is less than 500 m at 0.02  significance level


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