A study was designed to estimate the difference in diastolic blood pressure readings between men and women. Assume normality of blood pressure readings. Hint: According to Minitab, df = 26. (Round all answers to the nearest hundredth.) Males 73 73 71 67 77 65 87 67 87 69 73 77 65 69 93 77 Females 74 68 80 88 66 58 60 66 78 72 58 60 70 (a) Find sample means and standard deviations. Mean StDev Males Females (b) Find a 99% confidence interval for the difference between the means. to
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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