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 de

Question

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)=

◻

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