Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was
$4064
in a recent year. Suppose the benefits are normally distributed with a standard deviation of
$460
. Use The Standard Normal Distribution Table. Round the final answers to at least four decimal places and intermediate
z
-value calculations to two decimal places. Part 1 of 2 Find the probability that the mean benefit for a random sample of 29 patients is less than
$3890
.
P(\bar{x} <3890)=
◻
Part 2 of 2 Find the probability that the mean benefit for a random sample of 29 patients is more than
$4180
.
P(\bar{x} >4180)=
◻