The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm and a standard deviation of 0.005 mm. A sample of 25 bushings is taken once an hour.

(a)Within what interval should 95 percent of the bushing diameters fall? (Round your answers to 4 decimal places.)

(b)Within what interval should 95 percent of the sample means fall? (Round your answers to 5 decimal places.)

(c-1)What conclusion would you reach if you saw a sample mean of 4.020?

The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm and a standard deviation of 0.005 mm. A sample of 25 bushings is taken once an hour. (a) Within what interval should 95 percent of the bushing diameters fall? (Round your answers to 4 decimal places.) The 95% confidence interval is from 4.0252 to 4.0448 (b) Within what interval should 95 percent of the sample means fall? (Round your answers to 5 decimal places.) The 95% confidence interval is from to (c-1) What conclusion would you reach if you saw a sample mean of 4.020? The sample came from a population that did not have a population mean equal to 4.035