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The probability that an α% confidence interval includes only values that are lower than the
population mean is 1/16 . Find the value of α.
 one year ago
 one year ago
The probability that an α% confidence interval includes only values that are lower than the population mean is 1/16 . Find the value of α.
 one year ago
 one year ago

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campbell_stBest ResponseYou've already chosen the best response.0
sorry.... not something I'm strong at...
 one year ago

orderBest ResponseYou've already chosen the best response.0
Would you be able if I gave you the answer?
 one year ago

glgan1Best ResponseYou've already chosen the best response.1
I learned some about confidence interval before but it was a long time ago. now i'm viewing back my notes, hopefully i can help u.
 one year ago

glgan1Best ResponseYou've already chosen the best response.1
i got 12.5% which is 187.5%. anyway i will tell you how i got it. dw:1338115879203:dw A and B are the lower boundary and the upper boundary for the interval respectively. so within the interval, the values which are smaller than the mean would be from A to mean. as alpha% represents the probability from A to B and the mean is the midpoint of it, then the probability from A to mean would be alpha/2. so equate alpha/2 = 1/16 and you will get 0.125.
 one year ago

orderBest ResponseYou've already chosen the best response.0
So, why would you minus it from 1?
 one year ago

glgan1Best ResponseYou've already chosen the best response.1
the answer i got is 12.5 which isn't the same as yours. I am not sure why we minus it from 1. sorry. :(
 one year ago

kropot72Best ResponseYou've already chosen the best response.0
Assuming that a normal distribution applies, if the probability that an α % confidence interval includes only values that are lower than the population mean is 1/16 then the probability that the α % confidence interval includes only values that are higher than the population mean is also 1/16. Therefore the probablity that a confidence interval will include only values that do not include the mean is 1/16 + 1/16 = 1/8 or 12.5%. The require value for the confidence interval is 100  12.5 = 87.5%
 one year ago
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