The diameter of holes for a cable harness is known to have a normal distribution with a standard deviation of 0.01 inch. A random sample of size 10 yields an average diameter of 1.5045 inch. Find a 99% two-sided confidence interval on the mean hole diameter.   Find a 90% two-sided confidence interval on the mean hole diameter. Explain the difference of the interval between the two confidence levels.

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  1. The diameter of holes for a cable harness is known to have a normal distribution with a standard deviation of 0.01 inch. A random sample of size 10 yields an average diameter of 1.5045 inch.
    1. Find a 99% two-sided confidence interval on the mean hole diameter.

 

  1. Find a 90% two-sided confidence interval on the mean hole diameter.

  2. Explain the difference of the interval between the two confidence levels.
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