Can someone help me with this? A machine produces metal rods used in an automobi

Question

Can someone help me with this?

A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected and the diameter is measured. The resulting data (in millimeters) are as follows: Use the data above to calculate a 95% two-sided confidence interval on the mean rod diameter. Assume the data are normally distributed. (a) Calculate the sample mean and standard deviation. Round the sample mean and the sample standard deviation to 2 and 3 decimal places respectively (e.g. 98.76 and 98.765). (b) Calculate the 95% two-sided confidence interval on the true mean rod diameter. Round your answers to 3 decimal places (e.g. 98.765).

Explanation / Answer

here for above at95% CI and (n-1=14) degree of freedom ; value of t=2.1448

hence confidence interval =mean +/- t*std error =8.221 ; 8.252

X 8.280 8.210 8.230 8.250 8.260 8.230 8.200 8.260 8.190 8.230 8.200 8.280 8.240 8.250 8.240 mean(X) 8.237 std deviation(S) 0.028 std error =S/(n)1/2 0.007

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