Ignore the questions that talk about RStudio (the questions with yellow highlighter)
In the class of 2021, where scores for all students who took the SAT during high school. For Problem Set 6, you have 524 students.
1. What is the probability that a student has a SAT Math score lower than 430? Express the probability as a decimal rounded to four decimal places. See the Tutorial for Problem Set 6 for examples.
2. What is the probability that a student has a SAT Math score higher than 680? Express the probability as a decimal rounded to four decimal places. Solve this problem using the STAT100 Z table; do not use RStudio. Be sure to use appropriate notation, show all work, and provide the probability as a decimal rounded to four decimal places. See the Tutorial for Problem Set 6 for examples.
3. What is the probability that a student (male or female) has a SAT Math score between 480 and 610? Solve this problem using RStudio and include an image showing the R code you used to calculate the probability, including comments, and with output from the RStudio Console. IMPORTANT INSTRUCTIONS: you MUST include your code for this problem.
4. If a male student has a SAT Math score of 710, what percentile is this score for all male students? Provide the percentile as a whole number. Solve this problem using the STAT100 Z table; do not use RStudio. Be sure to use appropriate notation and show all work. See the Tutorial for Problem Set 6 for examples.
5. For all students (male or female), find the SAT Math score that would be in the 71st percentile of the distribution of SAT Math score values for all students. Round the SAT Math score to a whole number. Solve this problem using RStudio and include an image showing the R code you used to solve the problem, including comments, and with output from the RStudio Console. IMPORTANT INSTRUCTIONS: you MUST include your name in the comments for the R code for this problem.
6. Which would be more likely: a female student with a SAT Math score of at least 640, or a male student with a SAT Math score of at least 670? Solve this problem using the STAT100 Z table; do not use RStudio. Explain your reasoning.