You are playing with your model airplane when you notice that the wings are vibrating quite noticeably mid-flight. Curious, you mount the wing in the wind tunnel, and measure the force on the wing. You take N=6 measurements and spectrally analyze your Force vs Time measurements to find that there are dominant frequencies of f = (120, 115, 110, 122, 119, 117) Hz. Dissatisfied, you go home and stiffen the wings in some spots, hoping to increase the frequency. You repeat your wind tunnel experiment after the modification and take 6 measurements, (132, 126, 122, 125, 120, 123) Hz.
a. Calculate mean and standard deviation of the original wing and of the modified wing (2 pts)
b. State the null hypothesis and alternative hypothesis.
c. Can you conclude with 95% confidence that your wing modifications worked? (2 pts)
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