STAT 200 Final Examination, Spring 2017 OL4 US2 (SOLUTIONS) STAT 200 Final Examination

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1. ​ True or False. ​ Justify for full credit.
1. (a) If A and B are any two events, then P(A AND B) ≤ P(A OR B).
2. (b) If the variance of a data set is 0, then all the observations in this data set must
be zero.
3. (c) The volume of milk in a jug of milk is 128 oz. The value 128 is from a discrete
data set.
4. (d) When plotted on the same graph, a distribution with a mean of 60 and a
standard deviation of 5 will look less spread out than a distribution with a mean of
40 and standard deviation of 8.
5. (e) In a left-tailed test, the value of the test statistic is -2. The test statistic follows a
distribution with the distribution curve shown below. If we know the shaded area is
0.97, then we do not have sufficient evidence to reject the null hypothesis at 0.05
level of significance
2. ​ Choose the best answer. ​ Justify for full credit.
(a) A study was conducted at a local college to analyze the average GPA of students graduated
from UMUC in 2016. 100 students graduated from UMUC in 2016 were randomly selected, and
the average GPA for the group is 3.5. The value 3.5 is a