Aspirin is packed in 150 tab bottles with weight normally distributed with mean 750g and standard deviation 8g. Rejected bottles are those whose weight differs from the mean weight by 18g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 10,000 bottles. 1)Do we have to calculate one z-score or two z-scores? 2)The negative z-score is _____ ( rounded to two decimal digits) 3)The positive z-score is ______ (rounded to two decimal digits) 4)The sketch of the normal curve that describes the question is graph looks like what? 5)How many bottles, of the 10000, do we anticipate to reject?
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!
Aspirin is packed in 150 tab bottles with weight
Rejected bottles are those whose weight differs from the mean weight by 18g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 10,000 bottles.
1)Do we have to calculate one z-score or two z-scores?
2)The negative z-score is _____ ( rounded to two decimal digits)
3)The positive z-score is ______ (rounded to two decimal digits)
4)The sketch of the normal curve that describes the question is graph looks like what?
5)How many bottles, of the 10000, do we anticipate to reject?
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