In: Statistics and Probability
1. X-bar is an unbiased estimator of µ because
a. standard error of X-bar equals sigma/ square root of n
b. expected value of X-bar equals µ
c. shape of distribution of X-bar is normal.
d. Expected value of X-bar is greater than 1.
2. Suppose professor finds that for 16 randomly selected students the time needed to complete an assignment had a sample mean of 65 minutes and a sample standard deviation of 40 minutes. The 98% confidence interval estimate for the population mean is:
3. The starting salaries of individuals with an MBA degree are normally distributed with a mean of $90,000 and a standard deviation of $20,000. Suppose we randomly select 16 of these individuals with an MBA degree. What is the probability that the average starting salary for these individuals is at least $85,800? 0.7995 0.9131 0.2005 -0.2611
4. The probability P(0 <= Z <= 1.63) is:
a. 0.4265
b. 0.9484
c. 0.5071
d. 0.4484