Question

Assume a normal population with known variance σ2σ2, a random sample (n<n< 30) is selected. Let...

Assume a normal population with known variance σ2σ2, a random sample (n<n< 30) is selected. Let x¯,sx¯,s represent the sample mean and sample deviation.

(1)(2pts) write down the formula: 98% one-sided confidence interval with upper bound for the population mean.

(2)(6pts) show how to derive the confidence interval formula in 1

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
Assume a normal population with known variance σ2, a random sample (n< 30) is selected. Let...
Assume a normal population with known variance σ2, a random sample (n< 30) is selected. Let x¯,s represent the sample mean and sample deviation. (1)write down the formula: 98% one-sided confidence interval with upper bound for the population mean. (2) show how to derive the confidence interval formula in (1).
A simple random sample of size n is drawn from a population that is known to...
A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample​ variance, s squared​, is determined to be 11.8. Complete parts​ (a) through​ (c). ​(a) Construct a​ 90% confidence interval for sigma squared if the sample​ size, n, is 20. The lower bound is nothing. ​(Round to two decimal places as​ needed.) The upper bound is nothing. ​(Round to two decimal places as​ needed.) ​ b) Construct a​ 90% confidence...
A simple random sample of size n is drawn from a population that is known to...
A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample​ variance, s squared​, is determined to be 13.4. Complete parts​ (a) through​ (c). ​(a) Construct a​ 90% confidence interval for sigma squared if the sample​ size, n, is 20. The lower bound is nothing. ​(Round to two decimal places as​ needed.) The upper bound is nothing. ​(Round to two decimal places as​ needed.) ​(b) Construct a​ 90% confidence interval...
A simple random sample of size n is drawn from a population that is known to...
A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample​ variance, s squareds2​, is determined to be 12.512.5. Complete parts​ (a) through​ (c). ​(a) Construct a​ 90% confidence interval for sigma squaredσ2 if the sample​ size, n, is 20.The lower bound is nothing. ​(Round to two decimal places as​ needed.)The upper bound is nothing. ​(Round to two decimal places as​ needed.)​(b) Construct a​ 90% confidence interval for sigma squaredσ2...
A random sample of n = 11 observations was selected from a normal population. The sample...
A random sample of n = 11 observations was selected from a normal population. The sample mean and variance were x = 3.93 and s2 = 0.3216. Find a 90% confidence interval for the population variance σ2. (Round your answers to three decimal places.)
Given a sample size of n = 529. Let the variance of the population be σ2...
Given a sample size of n = 529. Let the variance of the population be σ2 = 10.89. Let the mean of the sample be xbar = 15. Construct a 95% confidence interval for µ, the mean of the population, using this data and the central limit theorem. Use Summary 5b, Table 1, Column 1 What is the standard deviation (σ) of the population? What is the standard deviation of the mean xbar when the sample size is n, i.e....
Let ​Y​ be a normal random variable with mean ​μ​ and variance ​σ​2 . Assume that...
Let ​Y​ be a normal random variable with mean ​μ​ and variance ​σ​2 . Assume that ​μ​ is known but ​σ​2 is unknown. ​​Show that ((​Y​-​μ​)/​σ​)2​ ​is a pivotal quantity. Use this pivotal quantity to derive a 1-​α confidence interval for ​σ​2. (The answer should be left in terms of critical values for the appropriate distribution.)
A simple random sample of size 20 is drawn from a population that is known to...
A simple random sample of size 20 is drawn from a population that is known to be normally distributed. The sample​ variance, s squared​, is determined to be 12.4. Construct a​ 90% confidence interval for sigma squared. The lower bound is nothing. ​(Round to two decimal places as​ needed.) The upper bound is nothing. ​(Round to two decimal places as​ needed.)
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean x bar is found to be 109, and the sample standard​ deviation, s, is found to be 10. a. Construct 95% confidence interval about miu, if the sample size n is 28. Find lower and upper bound. ​b. Construct 95% confidence interval about miu, if the sample size n is 17. Find lower and upper bound. c.Construct 80% confidence interval about...
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.