The average yearly Medicare Hospital Insurance benefit per person was $4064 in a year recent year. If the benefits are normally distributed with a standard deviation of $460, find the probability that the mean benefit for a random sample of 20 patients is more than $4100. Convert to a percentage and round to the hundredth.
A.) 25.00%
B.) 36.32%
C.) 48.63%
D.) 57.28
E.) 69.27%
Answer: E.) 69.27% P(? > 4100) = P (x-?/(?/?n) > 4100-4064/(460/?20)) = P(Z > .34999) ? .3669
Mathematics
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