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##### Stats final exam

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solution

**Question**

Question;01.;What;is the statistic used developing the decision rule for each of the following;problems. If the statistic used is the;student t distribution you must indicate the sign or signs of the critical t;value. For example, for 6f the statistic is the student t distribution with a;positive sign. All;that is needed for the answer is ?statistic is the student t distribution(can;just write t) with a positive sign?. Anything else will lead to that;section of the problem being graded as incorrect. To repeat, no calculations are;necessary. All that is needed is just;?statistic is a t, r,c2 or F and the sign(s) if it is a t?.;a. SAT scores predict college grade point;averages. Sample data: n = 25. Use the 99% confidence level.;b. Dr. Pepper Company claims that Dr.;Pepper, Pepsi and Coca-cola have the SAMEcarbonation;level. Sample data: n = 20. Use the 95%;confidence level.;c. The chairperson of NOW claims that;being left-handed is INDEPENDENTof gender. Use;the level of significance = 0.05.;d. When dropped from a standardized;height, yellow baseballs have bounce heights DIFFERENT;from the mean bounce heights of 92.84 inches obtain in previous studies with;white baseballs. Sample data for the;yellow baseballs: n = 40, mean = 92.67 inches, s = 1.79 inches. Use level of;significance = 0.05. Does it appear that the yellow and white baseballs are;different?;e. The mean life span of desktop PCs is LESS than 7 years.;Sample data: n = 21, mean = 6.8 years, s = 2.4 years. Level of significance = 0.05.;f. The mean IQ score of statistics professors;is GREATER than 120. Sample data: n = 12, mean =;132 and s = 12. Us 0.05 as the level of significance.;02.;Write;the null hypothesis and the alternate hypothesis IN WORDS for each for each of;the claims listed in Problem #01 above. SHORTHAND NOMENCLATURE WILL BE GRADED AS INCORRECT. Therefore the use of any signs, such as =;will be counted as incorrect.;EXTRA;CREDIT WORTH UP TO 12 POINTS: What are the actual critical values for;Problem #1? For example for 1f, the;answer is t = + 1.796. Each part;of the problem is worth 2 points.;03.;The;University of HARDTOGETINTO requires all applicants to submit their scores on;the Scholarship Aptitude Scoring for Soreheads (SASS) examination. SASS is a standardized examination with a;mean set at 50 and a standard deviation at 15.;In order to get admitted an applicant must have a standardized SASS;score of at least 76 and a high school grade point average of at least 3.25;Robert;has applied for admission to the University.;Robert has a high school grade point average of 3.56 and answered 155;questions correctly on the SASS examination.;On this particular examination the national raw scores mean for correct;answers was 125 and the standard deviation was 20.;As;an admission officer you must determine Robert?s admission status. Therefore, you need to know his standardized;SASS score. What is Robert?s;standardized SASS score? Did you grant;Robert admission to the University of HARDTOGETINTO?;04.;Use;the data in Problem #03 to answer this Problem;a. Assuming the SASS scores are;symmetrically distributed with the mean and standard deviation listed in;Problem #08 and these reflect the distribution of SASS scores for applicants with;at least a high school GPA of 3.25, what percent of these applicants are;admitted to the university?;b. Assuming the SASS scores are;symmetrically distributed with the mean and standard deviation listed in;Problem #08 and these reflect the distribution of SASS scores for applicants;with less than a high school GPA of 3.25, what percent of these applicants are;admitted to the university?;c. What percent of the applicants with at;least a 3.50 high school GRA are admitted to the University?

Paper#61344 | Written in 18-Jul-2015

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