SAT Scores The SAT is an entrance exam used by most colleges and universities to measure a high school student's readiness for college. The multiple-choice based exam is graded out of 1600 possible...

Extracted text: SAT Scores The SAT is an entrance exam used by most colleges and universities to measure a high school student's readiness for college. The multiple-choice based exam is graded out of 1600 possible points. In 2017, the population mean SAT score for all tested students was 1060 points with a standard deviation of 200 points. The distribution for the population of all SAT scores is skewed to the left with a minimum score of approximately 400 points and a maximum score of 1600 points. 1. Draw an approximate sketch of the distribution for the population of all 2017 SAT scores. Provide an appropriate label for the x-axis. 2. A researcher would like to know the probability that a randomly selected test taker will score at least 1400 points. Shade in the corresponding area on your sketch above. With the information given, can we find this probability? If so, calculate the probability. If not, why can we not calculate this? 3. The researcher would now like to analyze the mean from a random sample of 100 test takers. Draw a sketch for the distribution of the possible sample means for random samples of 100 SAT scores. Be sure to include a distribution label, an x-axis label, and at least three x-axis values. 4. The researcher will select a random sample of 100 test takers and take the mean of their 100 SAT scores. Calculate the probability that this sample mean will be at least 1100 points.