Question

if the median is much closer than the mean, then the outliers in the sample must be:
a. really low
b. somewhat low
c. close to the mean
d. close to the mode
e. high

critical values of one directional tests are
a. always lower than two directional tests
b. always the same as two directional tests
c. always higher than two directional tests
d. it depends on the test
e. it depends on the obtained value

if the mode of a dataset is much higher than the mean, then the following must be true:
a. the distribution is skewed left
b. the distribution is skewed right
c. the distribution is normal the distribution is likely bimodal
e. none of the above

Answer 1

if the median is much closer than the mean, then the outliers in the sample must be:
Ans: c. close to the mean
Reason: If the median is much closer than the mean, then the mean is greater than the median if the data has positive skew whereas the mean is less than the median if the data has negative skew. Also, we know that the mean is highly influenced than median by outliers.

Q. critical values of one directional tests are
Ans: d. it depends on the test.

Reason: For the right tail test, the critical value is positive. And, for the left tail test, the critical value is negative. (in the case of z and t test).

Q. if the mode of a dataset is much higher than the mean, then the following must be true:
Ans: a. the distribution is skewed left