Eight independent measurements are taken of the diameter of a piston. The measurements (in inches) are: 3.236,

Question:

Eight independent measurements are taken of the diameter of a piston. The measurements (in inches) are: 3.236, 3.223, 3.242, 3.244, 3.228, 3.253, 3.253, and 3.230.
a. Make a dotplot of the eight values.
b. Should the Student's t be used to find a 99% confidence interval for the diameter of this piston? If so, find the confidence interval. If not, explain why not.
c. Eight independent measurements are taken of the diameter of another piston. The measurements this time are: 3.295, 3.232, 3.261, 3.248, 3.289, 3.245, 3.576, and 3.201. Make a dotplot of these values.
d. Should the Student's t be used to find a 95% confidence interval for the diameter of this piston? If so, find the confidence interval. If not, explain why not?
Distribution
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