All information is provided

When a production process is operating correcy, the number of units produced per hour has a normal distribution with a mean of 104 and a standard deviation of 8. A random sample of 16 hours was taken. Complete parts (a) through [d]. a. Find the mean ofthe sampling distribution of the sample means. E (i) = 104 (Type an integer or a decimal.) [1. Find the variance of the sample mean. 2 _ . . 0R El [Type an Integer or a deCImaL} The price-earnings ratios for all companies whose shares are traded on a specific stock exchange follow a normal distribution with a standard deviation of 4.1. A random sample of these companies is selected in order to estimate the population mean price-earnings ratio. Complete parts (a) through (c). a. How large a sample is necessary in order to ensure that the probability that the sample mean differs from the population mean by more than 1.0 is less than 0.05? The sample size must be at least 65 . (Type a whole number.) b. Without doing the calculations, state whether a larger or smaller sample size compared to the sample size in part (a) would be required to guarantee that the probability of the sample mean differing from the population mean by more than 1.0 is less than 0. 10. The sample size would need to be