Question

Lesson 6 2.2: 2-Scores and Normal Distributions STUDENT NAME DATE TAKE IT HOME basketball team wants to score more points. To get better at scoring points the while 1 The Westwood Warriors zone defense, w team is trying to improve its offensive strategies. Some opponents primarily use a others primarily use a man-to-man defense. When the Warriors play against teams t defense they hat use a zone score an average of 67 points per game. When they play against teams that use a nse they score an average of 62 points per game. The standard deviations are 8 and 5 started using their improved offensive strategies they have played two games with the following results. Against the Round Rock Dragons Dragon defense: man-to-man Warrior points: 71 Against the McNeil Mavericks Maverick defense: zone Warrior points: 77 Which offensive strategy-learning to play against the zone defense or learning to play against the -appears to have improved the most? (Of course, there are many factors involved offensive strategies.) man-to-man defense in playing basketball. For your answer, assume the difference is due to the new Statway Version 3.1, 0 2018 WestEd. All rights reserved. 6.2.2|13 387 The GPAs of students at Mt. San Antonio College are normally distributed with a mean equal to 3.0 and 2 standard deviation 0.3 The tick marks on the x-axis of the graph below are one standard deviation apart. Label the axis with the appropriate values. Put the Z-score of each value below its x-value. Also label each region of the graph with the area for that region. Use the Empirical Rule to help you with this problem. A 8 What is the probability that a random Mt. San Antonio College student has a GPA greater than 3.3? What is the probability that a random Mt. San Antonio College student has a GPA between 2.1 and 2.7? C What is the probability that a random Mt. San Antonio College student has a GPA less than 3.6? D E Would it be unusual to randomly encounter a student at this college with a GPA less than 2.52? Statway Version 3.1, 0 2018 WestEd. All rights reserved. 6.2.21 14

Answer 1

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