Question

Consider a normal random sample with an unknown mean and a known standarddeviation. Prove that the...

Consider a normal random sample with an unknown mean and a known standarddeviation. Prove that the UMP does not exist forH0:μ=μ0versusH1:μ6=μ0.

Homework Answers

Answer #2

answered by: anonymous
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
Let X1,.....,Xn be a random sample from N(μ,σ2), and both μ and σ2 are unknown, with...
Let X1,.....,Xn be a random sample from N(μ,σ2), and both μ and σ2 are unknown, with -∞<μ<∞ and σ2 > 0. a. Develop a likelihood ratio test for H0: μ <= μ0 vs. H1: μ > μ0 b. Develop a likelihood ratio test for H0: μ >= μ0 vs. H1: μ < μ0
Consider a normal population with an unknown population standard deviation. A random sample results in 11formula80.mmlx...
Consider a normal population with an unknown population standard deviation. A random sample results in 11formula80.mmlx − x− = 59.85 and s2 = 14.44. a. Compute the 95% confidence interval for μ if x bar and s2 were obtained from a sample of 5 observations. b. Compute the 95% confidence interval for μ if x bar and s2 were obtained from a sample of 12 observations
X is a normal random variable with unknown mean μ and standard deviation σ = 5....
X is a normal random variable with unknown mean μ and standard deviation σ = 5. (a) Find the margin of error E in a 95 percent confidence interval for μ corresponding a random sample of size   (b) What size sample would be needed to have a margin of error equal to 1.5?
Suppose we take a random sample X1,…,X6 from a normal population with an unknown variance σ2...
Suppose we take a random sample X1,…,X6 from a normal population with an unknown variance σ2 and unknown mean μ. Construct a two-sided 99% confidence interval for μ if the observations are given by 2.59,0.89,2.69,0.04,−0.26,1.31
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.
a.)A normal random variable X has unknown mean μ and standard deviation σ = 6. What...
a.)A normal random variable X has unknown mean μ and standard deviation σ = 6. What is the margin of error E for a 98 percent confidence interval for μ, based on a random sample of size b.)(b) What sample size would be needed in part (a) to have a margin of error
A sample data is drawn from a normal population with unknown mean µ and known standard...
A sample data is drawn from a normal population with unknown mean µ and known standard deviation σ = 5. We run the test µ = 125 vs µ < 125 on a sample of size n = 100 with x = 120. Will you be able to reject H0 at the significance level of 5%? A. Yes B. No C. Undecidable, not enough information D. None of the above
Consider a normal population with an unknown population standard deviation. A random sample results in x−...
Consider a normal population with an unknown population standard deviation. A random sample results in x− = 50.36 and s2 = 31.36. [You may find it useful to reference the t table.] a. Compute the 99% confidence interval for μ if x− and s2 were obtained from a sample of 16 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.) b. Compute the 99% confidence...
Consider a normal population with an unknown population standard deviation. A random sample results in x−x−...
Consider a normal population with an unknown population standard deviation. A random sample results in x−x− = 49.64 and s2 = 38.44. a. Compute the 95% confidence interval for μ if x−x− and s2 were obtained from a sample of 22 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.) b. Compute the 95% confidence interval for μ if x−x− and s2 were obtained from...
A normal random variable x has an unknown mean and standard deviation. The probability that x...
A normal random variable x has an unknown mean and standard deviation. The probability that x exceeds 4 is 0.975, and the probability that x exceeds 5 is 0.95. Find μ and σ.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT