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1. True or False. Justify for full credit.
( a) If A and B are any two events, then P( A AND B) = P( A) + P( B).
( b) If the variance of a data set is 0, then all the observations in this data set must be identical.
( c) A normal distribution curve is always symmetric to its mean.
( 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 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 0.03, 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 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