One step in the manufacture of a certain metal clamp involves the drilling of fourholes. In a sample of 100 clamps, the average time needed to complete this step was 80 seconds and the standard deviation was 15 seconds.

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One step in the manufacture of a certain metal clamp involves the drilling of fourholes. In a sample of 100 clamps, the average time needed to complete this step was 80 seconds and the standard deviation was 15 seconds.
a.Find a 95% confidence interval for the mean time needed to complete the step.
b.Find a 99.5% confidence interval for the mean time needed to complete the step.
c.What is the confidence level of the interval (78,82)?
d.How many clamps must be sampled so that
a 95% confidence interval specifies
the mean to within ± 1 seconds?
e.How many clamps must be sampled so that a 99.5% confidence interval s
pecifies the mean to within ±1 seconds?
 
please solve part d and e of this question.  
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