Specifications call for the wall thickness of two-liter polycarbonate bottles to average 4.0 mils. A quality control engineer samples 7 two-liter polycarbonate bottles from a large batch and measures the wall thickness (in mils) in each. The results are: 3.999, 4.037, 4.116, 4.063, 3.969, 3.955, and 4.091. It is desired to test H0 : μ = 4.0 versus H1 :μ ≠ 4.0.
a. Make a dotplot of the seven values.
b. Should a Student’s t test be used to test H0? If so, perform the test. If not, explain why not.
c. Measurements are taken of the wall thicknesses of seven bottles of a different type. The measurements this time are: 4.004, 4.225, 3.924, 4.052, 3.975, 3.976, and 4.041. Make a dotplot of these values.
d. Should a Student’s t test be used to test H0 : μ = 4.0 versus H1 : μ ≠ 4.0? If so, perform the test. If not, explain why not.
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