A Rollercoaster’s auditors estimate that the average daily loss from those illegally riding without tickets is more than $300, but wants to determine the accuracy of this statistic. The company researcher takes a random sample of losses over 64 days and finds that = $298 and s = $25. a) Test at α = 0.05. Be sure you cover all steps: hypothesis, critical value, acceptance range, conclusion. b) (Unrelated to a’s results) Construct a 90% confidence interval of losses.
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!
A Rollercoaster’s auditors estimate that the average daily loss from those illegally riding without tickets is more than $300, but wants to determine the accuracy of this statistic. The company researcher takes a random sample of losses over 64 days and finds that = $298 and s = $25.
- a) Test at α = 0.05.
Be sure you cover all steps: hypothesis, critical value, acceptance
- b) (Unrelated to a’s results) Construct a 90% confidence interval of losses.
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