In: Statistics and Probability
he weight of gravel, in kilograms, collected by a power shovel may be modeled by a normal distribution with unknown mean, µ, and standard deviation 50. The weights of a random sample of 20 collections have a mean of 1030 kg.Calculate the margin of error for a 99% confidence interval estimate of µ.State the 99% confidence interval for the mean, µ.What sample size is needed so that the error is no more than 15 kg?