a random sample of twelve cell phones, the mean full retail price was $541.00 and the standard deviation was $158.00. Assume the population is normally distributed and use the t-distribution to find the margin onfidence interval for the population mean u. Interpret the results. error and construct a 99 lentify the margin of error.
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!
![In a random sample of twelve cell phones, the mean full retail price was $541.00 and the standard deviation was $158.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99%
confidence interval for the population mean µ. Interpret the results.
Identify the margin of error.
(Round to one decimal place as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f62c828-a3be-4a9e-bfeb-9c0130dd0f2c%2Fcbc4be09-3a0d-49aa-b448-98c8f86c5a04%2F185vcxs_processed.png&w=3840&q=75)
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