QM2A seminar 4

F-distribution is

• one-tailed test

• two-tailed test

Chi-square distribution: chi-square distribution has a___ skewed distribution.

• positive

• negative

Chi-square distribution: chi-square distribution is___ skewed.

• left

• right

F-distribution is skewed to the

• right

• left

Which of the following assumptions is least likely required for the difference in means test based on two samples?

• The two samples are independent.

• The two populations are normally distributed.

• The two populations have equal variances

William Adams wants to test whether the mean monthly returns over the last five years are the same for two stocks. If he assumes that the returns distributions are normal and have equal variances, the type of test and test statistic are best described as:

• paired comparisons test, t-statistic.

• paired comparisons test, F-statistic.

• difference in means test, t-statistic.

Which of the following statements about the F-distribution and chi-square distribution is least accurate? Both distributions:

• are asymmetrical.

• are bounded by zero on the left.

• have means that are less than their standard deviations

The appropriate test statistic for a test of the equality of variances for two normally distributed random variables, based on two independent random samples, is:

• the t-test.

• the F-test.

• the χ2 test.

The appropriate test statistic to test the hypothesis that the variance of a normally distributed population is equal to 13 is:

• the t-test.

• the F-test.

• the χ2 test.

Interpret ANOVA: the SER gauges the fit of the regression line, the_ the standard error, the better the fit.

• smaller

• larger