Confidence Interval for One Population Mean In 1903, a paper published by Abigail Camp Dimon, discussed the effect of environment on the shape and form of two sea snail species. Nassa obsoleta and Nassa trivittata. One of the variables that Dimon considered was the length of the shell. A random sample of 256 N. trivittata specimens was selected. The average shell length for the sample was 12 mm., with a standard deviation of 4 mm. Find the 95% confidence interval for the average shell length of all N. trivittata sea snails.
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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