Grams of Fiber per Day The NutritionStudy dataset includes a variable indicating the number of grams of fiber consumed per day by the participants. In th sample, the mean is 12.79 grams and the standard error based on a simulation distribution is SE = 0.30. The sample size of n = 315 is large enough to use a normal distribution. Click here for the dataset associated with this question. (a) Find a 99% confidence interval for mean number of grams of fiber per day. Round your answers to two decimal places. The 99% confidence interval is i grams to i grams.
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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