STAT 200 Final Exam (FALL 2016) STAT 200 Final Exam 2016

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1. True or False. Justify for full credit.
(a) A is an event, and Ac is the complement of A, then P(A AND Ac) = 0.
(b) If the variance of a data set is 0, then all the observations in this data set must be zero.
(c) If a 95% confidence interval for a population mean contains 1, then the 99% confidence
interval for the same parameter must contain 1
(d) When plotted on the same graph, a distribution with a mean of 60 and a standard
deviation
of 5 will look more spread out than a distribution with a mean of 40 and standard deviation
of 8.
(e) In a two-tailed test, the value of a test statistic is 2. The test statistic follows a distribution
with the distribution curve shown below. If we know the shaded area is 0.03, then we 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 2015. 100 students graduated from UMUC in 2015 were randomly selected,