A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 0.98, 0.95, 1.07, 1.05, 1.02, 1.04, 1.07, 0.98, and 0.97 centimeters. Find a 95% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
0.98,0.95,1.07,1.05,1.02,1.04,1.07,0.98,0.97
Confidence interval = 95%
Therefore, the mean is 1.0144
Therefore, the standard deviation is 0.0456
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