Instructions : Write the answers on the paper only. Do not write any answer in the box. A manufacturer claims that the mean breaking strength of safety belt for air passengers produced in his factory is 1275 kg. A sample of 220 belts were tested and the mean breaking strength was found to be 1255 with a standard deviation of 80 kg. Test manufacturer's claim at a=5% against the alternative hypothesis that the breaking strength is less than what is claimed. Click this link for Normal table: https://drive.google.com/drive/folders/10Vh9sXNIrDwbusps0Mz3b6VsztZsl3Tq? usp=sharing
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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