Part 1 of 2 (a) The top 7% of students receive $500. What is the minimum score you would need to receive this award? The minimum score needed to receive the award is 598 Part: 1 / 2 Part 2 of 2 (b) The bottom 5% of students must go to summer school. What is the minimum score you would need to stay out of this group? The minimum score needed to stay out of this group is X

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High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 445 and a standard
deviation of 103. Round the final answers to the nearest whole number and intermediate z-value calculations to 2 decimal places.
Part 1 of 2
(a) The top 7% of students receive $500. What is the minimum score you would need to receive this award?
The minimum score needed to receive the award is 598
Part: 1 / 2
Part 2 of 2
(b) The bottom 5% of students must go to summer school. What is the minimum score you would need to stay out of this group?
The minimum score needed to stay out of this group is
X
ㅂ
Transcribed Image Text:High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 445 and a standard deviation of 103. Round the final answers to the nearest whole number and intermediate z-value calculations to 2 decimal places. Part 1 of 2 (a) The top 7% of students receive $500. What is the minimum score you would need to receive this award? The minimum score needed to receive the award is 598 Part: 1 / 2 Part 2 of 2 (b) The bottom 5% of students must go to summer school. What is the minimum score you would need to stay out of this group? The minimum score needed to stay out of this group is X ㅂ
Expert Solution
Step 1: Given that

X~N( μ , ?)

μ=445     , ?=103

Z-score =( x - μ )/?

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