# Answers to sample final exams questions.

Mar 30th, 2015
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Record your answers and work.Problem NumberSolution1(12.5 pts)Answers:(a) False(b) False(c) True(d) True(e) FalseWork for (a), (b), (c), (d) and (e):a) Measure of volume is continuous, not discrete as it can't be counted.b) If the variance from a data set is zero, then all the observations in this data set must be equal.c) By definition of compliment, the intersection of A and its complement is 0.d) The normal distribution is a bell-shaped distribution and symmetrical about the mean, therefore the mean=median.e) In a hypothesis testing, if the p-value is less than the significance level ?, we have sufficient evidence to reject the null hypothesis, since the event of having that statistic is remote.2(2.5 pts)Answer:Checkout Time (in minutes)FrequencyRelative Frequency1.0 - 1.96?242.0 - 2.98?323.0 - 3.96?244.0 - 5.95?20Total25?100Work: 25-(6+8+5)=66/25 *100=24; 8/25 *100=32; 5/25 *100=203(2.5 pts)Answer: 56%Work: 24%+32%=56%4(2.5 pts)Answer: 2.0 - 2.9Work: The median is the same as the 50th percentile and it is in this interval.5(2.5 pts)Answer: The mean would increase while the median is the sameWork: Mean = ( )/n the numerator is increased by 8.5-5.8= 2.7The median being the middle observation would not be affected.6(2.5 pts)Answer: 36Work: 6*6 six possible outcomes for each roll.7(5 pts)Answer: 1/3Work: P(B| A)= P(AB)/P(A)= 1/6 /1/2 =2/6=1/3P(A)= 3*6/36= 1/2P(AB)=1/6

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