Mrs Emma wants to test if her students in Basic Calculus spend less than 30 minutes per day on homework. A random sample of 64 students shows that they spend an average of 24.5 minutes per day on homework. Assume that the population standard deviation is 15.3 minutes and that the test is to be made at the 1% significance level. What is the test value (z) of the problem? (Round off to 3 decimal places)
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!
Mrs Emma wants to test if her students in Basic Calculus spend less than 30 minutes per day on homework. A random sample of 64 students shows that they spend an average of 24.5 minutes per day on homework. Assume that the population standard deviation is 15.3 minutes and that the test is to be made at the 1% significance level.
What is the test value (z) of the problem? (Round off to 3 decimal places)
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