Rue La La - Secret... L Suggested Sites Yahoo! |Mail - carlene-henr... ( Topic: Week 3: Disc.. The average yearly Medicare Hospital Insurance benefit per person was $4064 in a 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 either less than $3800 or more than $4100. Answer = 0.0166 (Round to 4 decimal places) D Question 5 1 pts The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population. Assume the variable is normally distributed. Answer pounds. (Round answer to one decimal place) D Question 6 10 pts You work for a consumer advocate agency and want to estimate the population mean cost of replacing a car's transmission. As part of your study, you randomly select 50 replacement costs and find the mean to be $2650.00. From the census bureau, you found out that the population standard deviation is $425.00. 1. Find the best point estimate of the population mean $ (Round answer to two decimal places) 2. Find the margin of error for the 90% confidence level. $ 98.87 Round answer to two decimal places) . ((Round answer to two decimal places)