One step in the manufacture of a certain metal clamp involves the drilling of four holes. In
Question:
One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average time needed to complete this step was 72 seconds and the standard deviation was 10 seconds.
a. Find a 95\% confidence interval for the mean time needed to complete this step.
b. Find a \(90 \%\) confidence interval for the mean time needed to complete this step.
c. Approximately how many clamps must be sampled so that a 95\% confidence interval specifies the mean to within \(\pm 1\) second?
d. Approximately how many clamps must be sampled so that a \(90 \%\) confidence interval specifies the mean to within \(\pm 1\) second?
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