Reading Improvement Program To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 4% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 119.2, find the cutoff score that will make a student eligible for the program. The standard deviation is 19. Assume the variable is normally distributed. Use a graphing calculator and round the answer to the nearest whole number. The cutoff score for the bottom 4% of the scores is
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Reading Improvement Program To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 4% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 119.2, find the cutoff score that will make a student eligible for the program. The standard deviation is 19. Assume the variable is
The cutoff score for the bottom 4% of the scores is
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