What is a point estimate for the population mean length of time. (Round answer to 4 decimal laces) . Which distribution should you use for this problem? O normal distribution Otdistribution
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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a. What is a point estimate for the population mean length of time. (Round answer to 4 decimal
places)
b. Which distribution should you use for this problem?
O normal distribution
Ot-distribution
c. Why?
d. What must be true in order to construct a confidence interval in this situation?
O The population mean must be known
O The population standard deviation must be known
O The population must be approximately normal
O The sample size must be greater than 30
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