Question

5. Suppose we obaerve Y. ..Y, from a normal distribution with unknown parameters such that P - 20, s n=10. 16, and(a) Find a 95% confidence interval for (b) Now suppose n-1000, with the same value of Y and s. Find a 95% confidence interval for G) Would your answer to (a) or (b) change if the data were not from a normal distribution?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

a)

(ybar - t * s/sqrt(n) , ybar + t* s/sqrt(n))

df = n-1 = 9

t =

2.262157

(20 - 2.2622 * 4/sqrt(10) , 20 + 2.2622 * 4/sqrt(10))

=( 17.1385 , 22.8615)

b)

for n = 1000

df = 999 , t = z = 1.96

(20 - 1.96* 4/sqrt(1000) , 20 + 1.96* 4/sqrt(1000))

=( 19.7520 , 20.2479)

c)

answer to a) would change

but not for b) part

as n = 1000 > 30

by central limit theorem , we can approximate by normal distribution

Please rate

Add a comment
Know the answer?
Add Answer to:
5. Suppose we obaerve Y. ..Y, from a normal distribution with unknown parameters such that P...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT