Rock band The Rolling Stones have played scores of concerts in the last tw Rolling Stones concerts, the mean gross earnings is 2.2 million dollars. Part a) Assuming a population standard deviation gross earnings of 0.51 m interval for the mean gross earnings of all Rolling Stones concerts (in millio places in intermediate steps. Give your answer to the nearest 3 decimal pla Confidence interval: ( ). Dart b)
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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Rolling Stones concerts, the mean gross earnings is 2.2 million dollars.
Part a) Assuming a population standard deviation gross earnings of 0.51 million dollars, obtain a 99% confidence
interval for the mean gross earnings of all Rolling Stones concerts (in millions). Please carry at least three decimal
places in intermediate steps. Give your answer to the nearest 3 decimal places.
Confidence interval:
Part b)
Which of the following is the correct interpretation for your answer in part (a)?
A. There is a 99% chance that the mean gross earnings of all Rolling Stones concerts lies in the interval
B. If we repeat the study many times, 99% of the calculated confidence intervals will contain the mean gross earning of all Rolling Stones
concerts.
C. We can be 99% confident that the mean gross earnings for this sample of 30 Rolling Stones concerts lies in the interval
D. None of the above"
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