Use Table 8.1, a computer, or SALT to answer the following. Suppose a candidate for public otf'ce is favored by only 49% of the voters. If a sample surveyr randomly.r selects 2,500 voters, the percentage in the sample who favor the candidate can be thought of as a measurement from a normal curve with a mean of 49% and a standard deviation of 1%. Based on this information, how often [as a We] would such a surveyr show that 50% or more of the sample favored the candidate? (Round your answer to two decimal places} x Maori Hal n') 3...: u IAl-I-h u Suppose that you were told that scores on an exam in a large class you are taking ranged from 30 to 80 and that they were approximately bell-shaped. IE USES (a) Estimate the mean For the exam scores. |:| (b) As a rule ofthumb, the entire range of a data large data set is approximately 4 to 6 standard deviations. Estimate the range of the standard deviation for the exam scores, using this information and the information in this problem. (Round your answers to two decimal placesr if necessary.) |:|t|:| (c) Suppose your score on the exam was 50. Explain why it is reasonable to assume that your standardized score is about 0.5. g , so your score is :l points below the mean. From part (b), the standard deviation is around 10, so your standardized score is around 10 (d) Based on the standardized score in part (c), about what proportion of the class (as a decimal] scored higher than you did on the exam? (You may need to use Table 8.1 or SALT. Round your answer to two decimal places.) |:| Mensa is an organization that allows people to join onlyr if their IQs are in the top 2% of the population. (You may need to use Table 8.1 or SALT.) lg USE SALT (a) What is the lowest Stanford-Binet [Q you could have and still be eligible to join Mensa? (Remember that the mean is 100 and the standard deviation is 15. Round your answer to two decimal places.) E (b) Mensa also allows members to qualify on the basis of certain standard tests. If you were to try to qualify on the basis of the quantitative reasoning part of the GRE exam, what score would you need on the exam? (Remember that the mean is 151.3 and the standard deviation is 8.7. Round your answer to the nearest whole number.) E \fSuppose scores for a particular test have a mean of 9D and a standard deviation ef15. {a} Use the Empirical Rule to specify the ranges intc- Iwhich 68%: 95%: and 993% of test scores fall