1)Raw scores on behavioral tests are often transformed for easier comparison. A test of reading ability has a mean of 64 and a standard deviation of 10 when given to third graders. Sixth graders have a mean score of 82 and a standard deviation of 8 on the same test. Feel free to use the Normal Calculator or the z-Table for any part of this question (a) Fran is a third-grade student who scores 62 on the test. Lisa is a sixth-grade student who scores 80. Calculate the standard score for each student. Who scored lower within their grade? (b) Suppose that the distribution of scores in each grade is Normal. Determine the percentiles for Fran and Lisa. Interpret your results in context. (c) Debra, a sixth grader, is in the 90th percentile. Calculate her raw score in her grade level. 2)Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mm Hg) and the standard deviation is 5.6. Assume the variable is normally distributed Feel free to use the Normal Calculator or the z-Table for any part of the question. (a) If an individual is selected, find the probability that the individual's pressure will be between 120 and 121.8 mm Hg. (b) Ifa sample of 30 adults is randomly selected, find the probability that the sample mean will be between 120 and 121.8 mm Hg. (C) Why is the answer to part (a) so much smaller than the answer to part (b)? (D)If the sample were increased to 100 adults, how would that affect the sampling distribution for the sample mean