The average American gets a haircut every 41 days. Is the average different for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 27, 42, 34, 30, 30, 30, 46, 31, 42, 35, 37, 31, 43 What can be conduded at the the a -0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Họ: ? v Select an answer v H: Select an answer v C. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value (Please show your answer 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!
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