Question

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.

Answer 1

@campbell_st

Answer 2

sorry.... not something I'm strong at...

Answer 3

Would you be able if I gave you the answer?

Answer 4

probably not...

Answer 5

and you, @glgan1 ?

Answer 6

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.

Answer 7

:D

Answer 8

what's the answer?

Answer 9

87.5%

Answer 10

i got 12.5% which is 1-87.5%. anyway i will tell you how i got it.



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.