You belong to two different walking groups. Here is data about each group's walking in January 2020. GROUP A Person YOU Minutes Walking in January 2020 330 B 200 300 450 E 150 F 500 G 300 350 600 K 700 GROUP B Person Minutes Walking in January 2020 YOU 400 250 500 450 650 R 600 Answer the following questions based on this data: 1. What was the mean time walking for Group A and for Group B in January? Note: you are finding two mean times. 2. Did YOU exceed or fall below each group mean in January? By what percent? 3. The recommendation is that we exercise 150 minutes per week. For the purposes of this question, make the assumption that January is 4 weeks. The recommendation would then translate to 600 minutes in January. Did YOU exceed or fall below the recommendation in January? By what percent? NOTE: add your walking time from each group in order to answer this question.
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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