In: Statistics and Probability
2. The inside diameters of bearings used in an
aircraft landing gear assembly are known to
have a standard deviation of s = 0.002 cm. A random sample of 15
bearings has an
average inside diameter of 8.2535 cm.
a. Test the hypothesis that the mean inside bearing diameter is
8.25 cm. Use a two-
sided alternative and a = 0.05.
b. Find the P-value for this test.
c. Construct a 95% two-sided confidence interval on the mean
bearing diameter
d. Repeat (a,b,c) above for a = 0.1. Compare with results for a =
0.05.
e. Repeat (a,b,c) above for a = 0.01. Compare with results for a =
0.05.