Questions 20 and 21 refer to the following situation

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Questions 20 and 21 refer to the following situation: A standardized measure of achievement motivation is normally distributed, with a mean of 35 and a standard deviation of 14. Higher scores correspond to more achievement motivation. Question 20 (0.5 pts) Gato scored 49 on this exam. Gato scored higher than what proportion of the population? a. .32 b. .49 c. .68 d .84
Question 20b (0.7 pts) In the space below, provide plot of normal curve for Question 20. (0.1 pts for attempting) - Correctly label x axis (show at least mean and the score of interest) (0.2 pts) - Shade the area of interest (0.2 pts) - Inside the area(s), show percent of observations (0.2 pts) Solution courtesy to Lanu Kim (see below) Question 21 (0.5 pts) Only 2.5% of the students scored higher than Shamu. What was her achievement motivation score?
Question 21b (0.7 pts) In the space below, provide a plot of normal curve for Question 21. (0.1 pts for attempting) - Correctly label x axis (show at least mean and the score of interest) (0.2 pts) - Shade the area of interest (0.2 pts) - Inside the area(s), show percent of observations (0.2 pts) Solution courtesy to Lanu Kim (see below)
Question 22 (0.5 pts) Scores on the SAT verbal test in recent years follow approximately the N(515, 109) distribution. The proportion of students scoring between 460 and 550 is closest to
7 Question 22b (1.1 point) In the space below, provide a plot of normal curve and show your calculations for Question 22. (0.2 pts for attempting) - Correctly label x axis (show at least mean and the scores of interest) (0.2 pts) - Shade the area of interest (0.2 pts) - Compute the two z-scores (0.2 pts) - Provide the two cumulative proportions from table you need for your calculation (0.2 pts) - Inside the area(s), show percent of observations (0.1 pts)
Solution courtesy to Lanu Kim Question 23 (0.5 pts) Scores on the SAT verbal test in recent years follow approximately the N(515, 109) distribution. How low must a student score to place in the bottom 5% of all students taking the SAT?
8 Question 23b (1 point) In the space below, provide a plot of normal curve and show your calculations for Question 23, - Correctly label x axis (show at least mean and the score of interest) (0.2 pts) - Shade the area of interest (0.2 pts) - Inside the area(s), show percent of observations (0.2 pts)
9 - Find the appropriate z-score in the table (0.2 pts) - Recalculate the z-score into the SAT score (0.2 pts) Solution courtesy to Lanu Kim
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