Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

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.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

sorry.... not something I'm strong at...
Would you be able if I gave you the answer?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

probably not...
and you, @glgan1 ?
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.
:D
what's the answer?
87.5%
i got 12.5% which is 1-87.5%. 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.
So, why would you minus it from 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. :(
Hm Ok.... no problem :D
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%

Not the answer you are looking for?

Search for more explanations.

Ask your own question