lUlal Bl88d chölesteről levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients fore eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally stributed. At a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? atient otal Blood Cholesterol (Before) otal Blood Cholesterol (After) 2 225 224 4 250 245 5 245 241 6 225 200 193 260 259 225 223 227 calculate the standardized test statistic. Round to three decimal places as needed.) Calculate the P-value. P-value = Round to four decimal places as needed.) State the conclusion. V Ho. There V sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.

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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!