The weight of gravel, in kilograms, collected by a power shovelmay be modeled by a normal distribution with unknown mean, µ, andstandard deviation 50 kg. The weights of a random sample of 20collections have a mean of 1030 kg. Answer the following questionsround all FINAL answers to two decimal places.
(a) What is the point estimate of the mean weight of gravel thatthe shovel can collect?
(b) Calculate the margin of error for a 95% confidence intervalestimate of µ
(c) State the 95% confidence interval for the mean, µ ( , )
(d) What sample size is needed so that the error is no more than10 kg? n= power shovels
