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In: Statistics and Probability

A sample of 64 resistors are taken from a production line and are found to have...

A sample of 64 resistors are taken from a production line and are found to have a sample mean of 998 Ohms. The population distribution for the resistances is unknown but the population standard deviation is known to be 10 Ohms.

(a) Find a 97% confidence interval for the population mean.

The tabulated value is  and obtained from  table.

Lower limit is  and the upper limit is .

(b) Answer the following two questions by writing either ”narrower” or ”wider” in the blank space.

• If the sample size were increased to n = 1000 then the confidence interval would be  than the confidence interval computed from a sample with n = 64.

• A 99% confidence interval is  than a 97% confidence interval.

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