MATH 227 STATISTICS FINAL EXAM - West Los Angeles College

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4. For each of the population parameters, write the symbol for the corresponding sample statistic (it’s point estimator), and the name of the estimator. Estimator Symbol Estimator Name σ _______ ________________________ µ _______ ________________________ p _______ ________________________ 2 σ _______ ________________________ µ − µ _______ ________________________ 1 2 5. IQs are calibrated so that they have a mean of 100 and a standard deviation of 15. a) Find the probability that a randomly selected person has an IQ between 106 and 116. Be sure to draw a sketch. Ans. _____________ b) A person with an IQ at or below the 5 th percentile is considered “developmentally disabled”. What IQ corresponds to the cutoff for this designation Ans. ______________ 20
EXTRA CREDIT) Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The data below summarizes randomly selected sample data for San Francisco defendants in burglary cases. At the 0.05 significance level, test the claim that the type of plea is independent of whether a person is sent to prison. Note: First find row and column TOTALS, along with the GRAND TOTAL. To find “expected” quantities, you may use your calculator for the calculations, but show how one of these is calculated. Guilty Plea Not Guilty Plea TOTAL Sent to Prison 392 38 Not Sent to Prison 584 16 TOTAL 1. Describe the population parameter about which hypothesis are to be tested. 2. The null hypothesis is 3. The alternative hypothesis is 4. Select the significance level α for the test. Draw the appropriate distribution, label α , and determine the Rejection Region. 5. Display the test statistic to be used, with substitution of the hypothesized value identified in step 2 but without any computations at this point. Also state any assumptions. 6. Compute all quantities appearing in the test statistic and then the value of the test statistic itself. 7. Determine the p-value associated with the observed value of the test statistic Draw a picture of the appropriate distribution, shading the p-value area. 8. State the conclusion. 21
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Page 3 and 4: 12. The large sample z test for µ
Page 5 and 6: 37. A discrete numerical variable i
Page 7 and 8: 51. Chebychev's Rule states that th
Page 9 and 10: 60. In the construction of confiden
Page 11 and 12: For problems 70 through 80, conside
Page 13 and 14: 81. In the formula for 2 s , the de
Page 15 and 16: For problems 91 through 94, conside
Page 17 and 18: PART III: SHOW ALL WORK FOR FULL CR
Page 19: 3.) Sample bivariate data indicates

MATH 227 STATISTICS FINAL EXAM - West Los Angeles College

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