tudy was conducted to estimate hospital costs for accident victims who wore seat belts. Twenty randomly selected cases have a distribution that appears to be​ bell-shaped with a mean of ​$9171 and a...


tudy was conducted to estimate hospital costs for accident victims who wore seat belts. Twenty randomly selected cases have a distribution that appears to be​ bell-shaped with a mean of


​$9171


and a standard deviation of


​$5539




.

Construct a​ 99% confidence interval for the mean of all such costs.





a. Find the critical​ value:
t Subscript alpha divided by 2 Baseline equals




nothing




​(use 3 decimal​ places)


b. State the sample​ size: n​ =
nothing




​(give a whole​ number)


c. Calculate the margin of​ error: E​ =
nothing




​(round off to a whole​ number)


d. Give the confidence​ interval:
nothing


less than mu less thannothing




​(round off to whole​ numbers)


e. An opponent of seat belt laws believes that seat belts actually cause more harm than good and claims that the mean hospital costs for accident victims who wore seat belts is more than​ $15,000. Does this data support his​ claim? Why or why​ not?












A.


​No, the upper confidence interval limit is less than​ $15,000









B.


​Yes, the lower confidence interval limit is greater than​ $15,000









C.


​No, the sample mean is about​ $15,000











D.


​Yes, the upper confidence interval limit is less than​ $15,000






f. If we were not told that the distribution appears to be​ bell-shaped, would we be able to calculate the margin of error using the same​ formula?


Jun 10, 2022
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