A construction company was approached by a manufacturer of rechargeable batteries for cordless tools. The manufacturer claimed that their batteries last longer than their competitors. The construction company knew that their "old" batteries lasted16 hours on average. So they borrowed 35 of the "new" batteries and timed how long they lasted. The construction company found a mean of 16.7 hours with a standard deviation of 2.4 hours. This resulted in a p-value of 0.047. Which of the following statements about the p-value is correct? O There is a 4.7% chance that the "new" battery average life is greater than 16 hours. O There is a 4.7% chance that the "new" battery average life is equal to 16 hours.
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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