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Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 6.1 - Problem 32
Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 6.1 - Problem 32

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?SAT Test Penalty Some standardized tests, such as the SAT test, incorporate a penalty for wrong answers. For example, a multiple-choice question with

ISBN: 9780134133539 240

Solution for problem 32 Chapter 6.1

Statistics: Informed Decisions Using Data | 5th Edition

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Problem 32

SAT Test Penalty Some standardized tests, such as the SAT test, incorporate a penalty for wrong answers. For example, a multiple-choice question with five possible answers will have 1 point awarded for a correct answer and  point deducted for an incorrect answer. Questions left blank are worth 0 points.

(a) Find the expected number of points received for a multiple choice question with five possible answers when a student just guesses.

(b) Explain why there is a deduction for wrong answers.

Step-by-Step Solution:

Step 1 of 5) SAT Test Penalty Some standardized tests, such as the SAT test, incorporate a penalty for wrong answers. For example, a multiple-choice question with five possible answers will have 1 point awarded for a correct answer and a point deducted for an incorrect answer. Questions left blank are worth 0 points. (a) Find the expected number of points received for a multiple choice question with five possible answers when a student just guesses. (b) Explain why there is a deduction for wrong answers. The guidelines given above are just that—guidelines. Judging the shape of a distribution is a subjective practice. The boxplot in Figure 21(d) suggests that the distribution is skewed right since the right whisker is longer than the left whisker and the median is left of center in the box. We can also assess the shape using the quartiles. The distance from M to Q1 is 4.89 1= 30.95 - 26.062, while the distance from M to Q3 is 6.29 1= 37.24 - 30.952. Also, the distance from M to the minimum value is 11 1= 30.95 - 19.952, while the distance from M to the maximum value is 23.68 1= 54.63 - 30.952.

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?SAT Test Penalty Some standardized tests, such as the SAT test, incorporate a penalty for wrong answers. For example, a multiple-choice question with