The population mean and standard deviation are given below. Find the required probal For a sample of n= 65, find the probability of a sample mean being greater than 211 if u = 210 and o = 3.5, For a sample of n=65, the probability of a sample mean being greater than 211 if p= 210 and a = 3.5 isM (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean V be considered unusual because it V within the range of a usual event, namely within of the mean of the sample means.
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!
![The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
For a sample of n= 65, find the probability of a sample mean being greater than 211 if u = 210 and o = 3.5.
For a sample of n=65, the probability of a sample mean being greater than 211 if u = 210 and o = 3.5 isN
(Round to four decimal places as needed.)
Would the given sample mean be considered unusual?
The sample mean
V be considered unusual because it
Vwithin the range of a usual event, namely within
V of the mean of the sample means.
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