The average self-esteem score for American adolescents is 20 ( = 20). The standard deviation for the self-esteem scores in the population is 5 (o= 5 ). A High School Counselor develops a program designed to enhance self-esteem among adolescents. Thirty-six (n = 26) students are randomly assigned to the self-esteem enhancement program. At the conclusion of the program, the self-esteem scores of the participating adolescents is measured and the average self-esteem score is 28.5 (M = 28.5). (a) What type of design is this study (single-sample, independent measures, repeated measures) (b) State the null and alternate hypotheses (c) Using an alpha level of .01 (a = .01), identify the critical values of t for a 2-tailed test
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!
The average self-esteem score for American adolescents is 20 and the standard deviation self-esteem score in the population is 5.
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