A random sample of 100 observations from a normally distributed population possesses mean equal to 92.7 and a standard deviation equal to 5.9. Use this information to complete parts a through e below. a. Find a 95% confidence interval for u. (Round to two decimal places as needed.) b. What do you mean when you say that a confidence coefficient is 0.95? O A. A confidence coefficient of 0.95 means that there is a probability of 0.95 that an interval estimator constructed using this coefficient will enclose the population parameter. O B. A confidence coefficient of 0.95 means that there is a probability of 0.95 that an interval estimator constructed using this coefficient will contain all of the values in the relevant sample. O C. A confidence coefficient of 0.95 means that 95% of the values in the population will be contained in an interval estimator constructed using this coefficient. O D. A confidence coefficient of 0.95 means that 95% of the values in any sample taken from the population will be contained in an interval estimator constructed using this coefficient. c. Find a 99% confidence interval for u. (Round to two decimal places as needed.)

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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!