# Mathematical Probability Practice Exam

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MAT 1600 β Final Exam Part 1 1. What is an example of a statistic? A statistic is a measurable characteristic used for estimating the value of a population parameter, such as average weight of students in a certain classroom 2. According to what theorem will the sampling distribution of the sample mean will be normal when a sample of 30 or more is chosen? The Central Limit Theorem 3. When is the finite population correction factor used? Only when our sample size is relatively large (more than 5%) with respect to population size 4. What type of sample is chosen in such a way that all elements of the population are equally likely to be chosen? A Simple Random sample 5. If a confidence interval for the population mean is constructed when the population standard deviation is unknown, what is the margin of error? Since population standard deviation is unknown, weβll be using the t-test, and the margin of error for the t-test is calculated as: π  π‘ πβ1 πΌ ( ) 2 βπ 6. What is the standard deviation of the t-distribution? π ππ‘βπ‘ππ π‘ = β , π€βπππ π = πππππππ  ππ πππππππ = π πππππ π ππ§π β 1 πβ2 7. What is one property that the t-distribution and standard normal distribution have in common? Both distributions have bell-shaped curves 8. Suppose that a confidence interval is constructed at the 95% level. If the confidence interval is increased to ...
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