Question

Let ? ̅ and ?2 be the mean and variance of a random sample of size...

Let ? ̅ and ?2 be the mean and variance of a random sample of size 16 from a normal distribution N(4, 128). Find (a) ?(5 < ? ̅ < 8) (b) ?(200 < ?2 < 262.4)

Homework Answers

Know the answer?
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
Similar Questions
a. If ? ̅1 is the mean of a random sample of size n from a...
a. If ? ̅1 is the mean of a random sample of size n from a normal population with mean ? and variance ?1 2 and ? ̅2 is the mean of a random sample of size n from a normal population with mean ? and variance ?2 2, and the two samples are independent, show that ?? ̅1 + (1 − ?)? ̅2 where 0 ≤ ? ≤ 1 is an unbiased estimator of ?. b. Find the value...
Let X1, X2 be a random sample of size 2 from the standard normal distribution N...
Let X1, X2 be a random sample of size 2 from the standard normal distribution N (0, 1). find the distribution of {min(X1, X2)}^2
Let ??, ??, . . . , ?? form a random sample of size ? from...
Let ??, ??, . . . , ?? form a random sample of size ? from some probability distribution with mean ? ? and variance ?.If ? isgreaterthan60, (a) What is the distribution of sample mean? Explain.
Let X1, X2, . . . , Xn be a random sample of size n from...
Let X1, X2, . . . , Xn be a random sample of size n from a distribution with variance σ^2. Let S^2 be the sample variance. Show that E(S^2)=σ^2.
Let X be the mean of a random sample of size n from a N(θ, σ2)...
Let X be the mean of a random sample of size n from a N(θ, σ2) distribution, −∞ < θ < ∞, σ2 > 0. Assume that σ2 is known. Show that X 2 − σ2 n is an unbiased estimator of θ2 and find its efficiency.
Let X1,...,Xn be a random sample from a normal distribution with mean zero and variance σ^2....
Let X1,...,Xn be a random sample from a normal distribution with mean zero and variance σ^2. Construct a 95% lower confidence limit for σ^2. Your anwser may be left in terms of quantiles of some particular distribution.
Let x bar be the mean of a random sample of  n = 36 currents (in milliamperes)...
Let x bar be the mean of a random sample of  n = 36 currents (in milliamperes) in a strip of wire in which each measurement has a mean of 16 and a variance of 6. X bar has an approximate normal distribution, find P(12.5 < x bar < 15.6) .
Let X1, X2, X3 be a random sample of size 3 from a distribution that is...
Let X1, X2, X3 be a random sample of size 3 from a distribution that is Normal with mean 9 and variance 4. (a) Determine the probability that the maximum of X1; X2; X3 exceeds 12. (b) Determine the probability that the median of X1; X2; X3 less than 10. (c) Determine the probability that the sample mean of X1; X2; X3 less than 10. (Use R or other software to find the probability.)
Let ?1 and ?2 be a random sample of size 2 from a normal distribution ?(?,...
Let ?1 and ?2 be a random sample of size 2 from a normal distribution ?(?, 1). Find the likelihood ratio critical region of size 0.005 for testing the null hypothesis ??: ? = 0 against the composite alternative ?1: ? ≠ 0?
Let X1,...,Xn be a random sample from a normal distribution where the variance is known and...
Let X1,...,Xn be a random sample from a normal distribution where the variance is known and the mean is unknown.   Find the minimum variance unbiased estimator of the mean. Justify all your steps.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT