# Question

Refer to Exercise 6.5.

a. Show that x is an unbiased estimator of μ.

b. Find σ2x-bar.

c. Find the probability that x-bar will fall within 2σ x-bar of μ.

a. Show that x is an unbiased estimator of μ.

b. Find σ2x-bar.

c. Find the probability that x-bar will fall within 2σ x-bar of μ.

## Answer to relevant Questions

Refer to Exercise 6.7, in which we found the sampling distribution of the sample median. Is the median an unbiased estimator of the population mean μ? A random sample of n = 900 observations is selected from a population with μ = 100 and σ = 10. a. What are the largest and smallest values of x-bar that you would expect to see? b. How far, at the most, would you expect ...The Test of Knowledge about Epilepsy (KAE), which is designed to measure attitudes toward persons with epilepsy, uses 20 multiple-choice items, all of which are incorrect. For each person, two scores (ranging from 0 to 20) ...To determine whether a metal lathe that produces machine bearings is properly adjusted, a random sample of 25 bearings is collected and the diameter of each is measured. a. If the standard deviation of the diameters of the ...A random sample of 90 observations produced a mean = 25.9 and a standard deviation s = 2.7. a. Find a 95% confidence interval for the population mean µ. b. Find a 90% confidence interval for µ. c. Find a 99% confidence ...Post your question

0