12. The label on a can of pineapple slices states that the mean carbohydrate content per serving of canned pineapple is over 50 grams. It may be assumed that the standard deviation of the carbohydrate content is 4 grams. A random sample of forty servings has a mean carbohydrate content of 52.3 grams. Is the company correct in its claim? Use α =0.05 13. A company claims that the mean weight per banana it ships is 150 grams with a standard deviation of 18 grams. Data generated from a sample of 49 bananas randomly selected from a shipment indicated a mean weight of 153.5 grams per banana. Is there sufficient evidence to reject the company’s claim? Use α = 0.05
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!
12. The label on a can of pineapple slices states that the mean carbohydrate content per serving of canned pineapple is over 50 grams. It may be assumed that the standard deviation of the carbohydrate content is 4 grams. A random sample of forty servings has a
mean carbohydrate content of 52.3 grams. Is the company correct in its claim? Use α =0.05
13. A company claims that the mean weight per banana it ships is 150 grams with a standard deviation of 18 grams. Data generated from a sample of 49 bananas randomly selected from a shipment indicated a mean weight of 153.5 grams per banana. Is there
sufficient evidence to reject the company’s claim? Use α = 0.05
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