11
questions were answered
correctly
.
4
questions were answered
incorrectly
.
1
Which graph correctly matches a probability value with the shaded
region between z-scores?
RATIONALE
Remember the 68/95/99.7 rule where 68% of the data lies within 1 standard
deviation, 95% of the data falls within 2 standard deviations of the mean,
and 99.7% of the data falls within 3 standard deviations of the mean.
CONCEPT

Standard Normal Distribution
2

Ahmad was conducting some tests to determine if there was a relationship
between taking sleeping pills and the amount of sleep a person gets. His null
hypothesis was that taking sleeping pills did not have any effect on the
amount of sleep a person receives. Ahmad's alternate hypothesis was that
taking sleeping pills increases the amount of sleep a person will get.
If Ahmad completed his study, which of the following statements
would indicate a Type II error?

CONCEPT
Type I and Type II Errors
3
Gaurav was conducting a test to determine if the average amount of
medication his patients were taking was similar to the national average. He
wants to use a 5% significance level for his test to help ensure that his
patients do not receive too little or too much medication.
If Gaurav were to conduct a test, what probability value would
indicate that his null hypothesis (that there is no significant
difference between the amount of medication Gaurav's patients are
receiving and the national average) would be rejected?

10.27%
RATIONALE
If we are considering a 5% significance level, then this means that we are
accounting for 95% of the data. If we picture this on a normal distribution
curve, we would say that 2.5% of the data in the left tail is not accounted for
and 2.5% of the data in the right tail is not accounted for. Therefore,
probability values that are below 2.5% or above 97.5% indicate that the null
hypothesis should be rejected. This is because if the null hypothesis were
true for a 5% significance level, then it is very unlikely that we would get