Statistics Questions

1. Briefly explain the meaning of an estimator and an estimate. Also explain the meaning of a point estimate and an interval estimate.

2. Briefly explain the meaning of each of the following terms.

a. Null hypothesis

b. Alternative hypothesis

c. Critical point(s)

d. Significance level

e. Nonrejection region

f. Rejection region

g. Tails of a test

h. Two types of errors

3. Briefly explain the meaning of independent and dependent samples. Give one example of each. Also explain what conditions must hold true to use the t distribution to make a confidence interval and to test a hypothesis about μ1−μ2 for two independent samples selected from two populations with unknown but equal standard deviations.