In: Statistics and Probability
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.
(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