Question Help ▼ In a sample of 14 randomly selected high school seniors, the mean score on a standardized test was 1181 and the standard deviation was 162.3. Further research suggests that the population mean score on this test for high school seniors is 1022. Does the t-value for the original sample fall between -to g95 and to 95? Assume the population of test scores for high school seniors is normally distributed. The t-value of t= does not fall between -to 95 and to 95 because to g5 = 20 %3D (Round to two decimal places as needed.) pral
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!
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