Suppose that X is normally distributed with mean 0 and unknown variance σ^2. . Then x^2/σ^2...

Suppose that X is normally distributed with mean 0 and unknown variance σ^2. . Then x^2/σ^2 has a χ^2 1with 1 degree of freedom. Find

a) 95% confidence interval for σ2

(b) 95% upper confidence limit for σ2

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Suppose X is normally distributed with a mean of 100 and a variance of 121. Suppose...

Suppose X is normally distributed with a mean of 100 and a variance of 121. Suppose a sample of size 70 is collected and the sample mean calculated. Answer the following. Enter your final answers in the boxes below. Show ALL working by uploading your handwritten working for this question to Laulima Dropbox within 15 minutes of completing your exam. Correct answers without working shown will not receive full credit. Note that writing Excel functions does NOT qualify as showing...

For some objects that are normally distributed, there is a variance 15 and unknown mean μ....

For some objects that are normally distributed, there is a variance 15 and unknown mean μ. In a simple random sample of 45 objects, the sample mean object was 16. Construct a symmetric 90% confidence interval forμ.

Assume Y is a normally distributed population with unknown mean, μ, and σ = 25. If...

Assume Y is a normally distributed population with unknown mean, μ, and σ = 25. If we desire to test H o: μ = 200 against H 1: μ < 200, (a.) What test statistic would you use for this test? (b.)What is the sampling distribution of the test statistic? (c.) Suppose we use a critical value of 195 for the scenario described. What is the level of significance of the resulting test? (d.) Staying with a critical value of 195,...

Suppose men's heights are normally distributed with mean of 176 cm and variance of 25cm^2. A....

Suppose men's heights are normally distributed with mean of 176 cm and variance of 25cm^2. A. What proportion of mean are between 172 cm and 178 cm tall? B. Find the minimum ceiling of an airplane such that at most 2% of the men walking down the aisle will have to duck their heads. C. Suppose you take a random sample of 6 men. What is the sampling distribution of the sample mean height? Why? D. Find the probability that...

Suppose a population of scores x is normally distributed with μ = 16 and σ =...

Suppose a population of scores x is normally distributed with μ = 16 and σ = 5. Use the standard normal distribution to find the probability indicated. (Round your answer to four decimal places.) Pr(16 ≤ x ≤ 18.3) You may need to use the table of areas under the standard normal curve from the appendix. Also, Use the table of areas under the standard normal curve to find the probability that a z-score from the standard normal distribution will...

Suppose x is a normally distributed random variable with μ=13 and σ=2. Find each of the...

Suppose x is a normally distributed random variable with μ=13 and σ=2. Find each of the following probabilities. (Round to three decimal places as needed.) a) P(x ≥14.5) b) P(x12.5) c) P(13.86 ≤ x ≤ 17.7) d) P(7.46 ≤ x ≤16.52) d) c)

1. Suppose X follows the normal distribution with mean μ and variance σ^2 . Then: (Circle...

1. Suppose X follows the normal distribution with mean μ and variance σ^2 . Then: (Circle all that apply.) A. X is symmetric with respect to the y-axis. B. P(X=2)=P(X=-2). C. Y=aX follows the same distribution as X, where a is a constant. D. None of the above statements is correct. 2. Given a random variable X having a normal distribution with μ=50, and σ=10. The probability that Z assumes a value between 45 and 62 is: ___________. 3. Which...

Suppose X is a discrete random variable with mean μ and variance σ^2. Let Y =...

Suppose X is a discrete random variable with mean μ and variance σ^2. Let Y = X + 1. (a) Derive E(Y ). (b) Derive V ar(Y ).

Suppose the average bus wait times are normally distributed with an unknown population mean and a...

Suppose the average bus wait times are normally distributed with an unknown population mean and a population standard deviation of of five minutes. A random sample of 30 bus wait times are taken and has a sample mean of 25 minutes. Find a 95% confidence interval estimate for the population mean wait time.

Subjects