A company produces widgets with the population mean length of 5.6 cm, and standard deviation of 1.2 cm.
a) If the company takes sample of n = 36 widgets, Determine the sample mean?
b) Compute the standard deviation of the sample mean?
c) What is the probability that sample mean is greater than 6? P( xbar > 6). Employ four decimals.
d) What would the sample size require to be if the company wanted to make sure that 90% of the widgets would be less than 5.82 cm? Round up to the next entire number.