Use the information below to answer Questions #6 and #7. You are given the sample mean and the population standard deviation. Use this information to construct the 95% confidence interval. From a random sample of 59 dates, the mean record daily high temperature in a certain city is 82.26°F. Assume the population standard deviation is 14.82°F. Find the right end point for a 95% confidence interval. Round to the nearest hundredth.
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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