Introduction to Statistical Methods
Introduction to Statistical Methods STAT 301
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Mrs. Triston Collier
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This 1 page Class Notes was uploaded by Mrs. Triston Collier on Thursday September 17, 2015. The Class Notes belongs to STAT 301 at University of Wisconsin - Madison taught by Staff in Fall. Since its upload, it has received 24 views. For similar materials see /class/205083/stat-301-university-of-wisconsin-madison in Statistics at University of Wisconsin - Madison.
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Date Created: 09/17/15
STAT 301 TA Lisa Chung lchung statwiscedu DISCUSSION 10 Apr 4 2004 REVIEW One Sample Hypothesis Test Example 1 A sample of 40 sales receipts from a university book store has E 121 and s 39 102 Use these values to perform a test at level 04 005 of H0 u 125 vs HA u 7 125 Example 2 In the lake population study7 the concentration of lead in the upper sedimentary layer of a lake bottom is measured from 25 sediment samples of 1000 cubic centimeters each i038 and s 006 respectively a Compute 99 con dence interval for the mean concentration of lead per 100007713 of sediment in the lake bottom 2 Do the data provide strong evidence that the true mean concentration of lead is higher than 035 Example 3 According to the ETS7 the random variable7 XSAT exam score7 in the national high school population is normally distributed with mean u 500 points7 and standard deviation 0 100 points7 ie X N500100 High school administrators test the null hypothesis H0 u 500 vsH1 u gt 500 Using random sample of n256 students per high school7 the following data are collecdted Calculate p value of each sample7 and use it to arrive at a decision about the null hypothesis for that particular high school7 at the 04 005 signi cant level 0 High School 1 Mean SAT score 520 points 0 High School 2 Mean SAT score 480 points Example 4 A new subpopulation of a certain species of stag beetle is discovered7 Whose individuals seem to be signi cantly larger than the parent species A small random sample of n25 specimens is collected7 and the length of X mm of each is measured It is found that i758mm7 with s625mm Assuming that X is normally distributed in the population a Compute the 90 con dence interval for the true population mean length b Calculate the p value of this sample7 under the null hypothesis H0 u 50mm of the parent population7 vsH1 u 7 50mm Of ce 1335 MSC7 263 5948 10f ce Hour Wed100 200 and Thurs 1100 1200
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