Probability and Statistics
Probability and Statistics MATH 2600
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This 1 page Class Notes was uploaded by Mrs. Kara Jacobs on Monday October 12, 2015. The Class Notes belongs to MATH 2600 at Georgia College & State University taught by Staff in Fall. Since its upload, it has received 21 views. For similar materials see /class/221929/math-2600-georgia-college-state-university in Mathematics (M) at Georgia College & State University.
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Date Created: 10/12/15
Test 3 Review Sheet MATH 2600 Topics The Normal Distribution CLT Con dence Intervals for the population mean Normal Distribution X N Nmean u std dev 6 Be able to nd probabilities using a normal distribution PX Z a PX S b P a S X S b etc TI83 support normalcdflowhighmean u std dev 6 Plow S X S high Be able to nd boundaries for certain conditions Find Xvalues that cuts off upper x lower x that is the boundary between the lower x and upper lOOx 0ltxlt100 that serve as boundaries for the middle x TI83 support X invNorm Area mean u std dev 6 where Area is the area under the normal curve to the left of X Central Limit Theorem CLT Understand the statement of the theorem and how to apply it Con dence Intervals for the Population Mean Understand the relationship between the con dence level and the con dence interval width Finding minimum sample size for a con dence interval if a certain error is desired Let P be a population with mean u and std dev 6 ltTypical u is unknownwe want to estimate itgt Let S be a random representative sample from P with mean x and std dev s TI83 Calculator support Zinterval and TInterval as appropriate Summary of con dence intervals for the population mean For any population P Ifn Z 30 and 6 is known then a lOOl0c con dence interval for u is x 7E x E where E 255 Ifn Z 30 and 6 is unknown then use 6 m s and a lOOl0c con dence interval for u is x 7E x E where E 256 If P is approximately normal 2 If n lt 30 and 6 is knownthen a lOOl0c con dence interval for u is x 7E x E where E 255 If P is approximately normal 2 If n lt 30 and 6 is unknown then use 6 m s then lOOl0c con dence interval for u is x 7E x E where E a 3 Emil 71 If n lt 30 and P is not approximately normal other methods must be applied but we re STUCK