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Please, i need clear answer for this statistics question
Problem 6 A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is taken and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01 and 1.03 centimeters. The sample mean and standard deviation for the given data are i-1.0056 and s = 0.0246. Assume normality. (a) Find a 99% confidence interval on the mean diameter (b) Compute a 99% prediction interval on a measured diameter of a single metal piece taken from the machine.
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1 .oos 6 っ% [(r.ol. I.oosE)1t (o.92-l.oosı)+--+0.07- ooro xo.oouバ294 0 -02455 tre1.355 b.024 6 r) O.qg1) <μ<\.o371. 97% Conf dence, tAcr./4m due. mean Co 121 f.03

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