# Question: Consider the following probability distribution a Find and 2

Consider the following probability distribution:

a. Find μ and σ2.

b. Find the sampling distribution of the sample mean x-bar for a random sample of n = 2 measurements from this distribution.

c. Show that x-bar is an unbiased estimator of μ.

d. Find the sampling distribution of the sample variance s2 for a random sample of n = 2 measurements from this distribution.

e. Show that s2 is an unbiased estimator for σ2.

a. Find μ and σ2.

b. Find the sampling distribution of the sample mean x-bar for a random sample of n = 2 measurements from this distribution.

c. Show that x-bar is an unbiased estimator of μ.

d. Find the sampling distribution of the sample variance s2 for a random sample of n = 2 measurements from this distribution.

e. Show that s2 is an unbiased estimator for σ2.

**View Solution:**## Answer to relevant Questions

Consider the following probability distribution: a. Find μ. b. For a random sample of n = 3 observations from this distribution, find the sampling distribution of the sample mean. c. Find the sampling distribution of the ...A random sample of n = 64 observations is drawn from a population with a mean equal to 20 and standard deviation equal to 16. a. Give the mean and standard deviation of the (repeated) sampling distribution of x-bar. b. ...According to the American Automobile Association (AAA), the average cost of a gallon of regular unleaded fuel at gas stations in August 2010 was $2.78 (AAA Fuel Gauge Report). Assume that the standard deviation of such costs ...According to a Natimal Business Travel Association (NBTA) 2008 survey, the average salary of a travel management professional is $97,300. Assume that the standard deviation of such salaries is $30,000. Consider a random ...What is the confidence coefficient in a 90% confidence interval for µ?Post your question