- 6 A Machine Produces Cylindrical Metal Bolts With Nominal Diameter 1 Cm A Random Sample Of 10 Bolts Gave The Following 1 (52.63 KiB) Viewed 79 times
6. A machine produces cylindrical metal bolts with nominal diameter 1 cm. A random sample of 10 bolts gave the following
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6. A machine produces cylindrical metal bolts with nominal diameter 1 cm. A random sample of 10 bolts gave the following
6. A machine produces cylindrical metal bolts with nominal diameter 1 cm. A random sample of 10 bolts gave the following measurements of the diameter: 1.00, 1.01, 0.97, 1.03, 1.04,0.99, 0.98,0.99, 1.01, 1.03 Assume that the diameters follow a Normal distribution. (a) Calculate the sample mean and sample standard deviation. [5 marks] (b) Given that the true standard deviation is actually 0.022 cm, find a 95% confidence interval for the mean diameter of bolts from this machine. [6 marks] (c) Based on the available data, has the machine been correctly calibrated? Justify your answer. (4 marks]