A researcher is interested in finding a 95% confidence interval for the mean number of times per day that college students text. The study included 109 students who averaged 28.3 texts per day. The standard deviation was 16.7 texts. Round answers to 3 decimal places where possible. With 95% confidence the population mean number of texts per day is between ___ and ___ texts.
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 researcher is interested in finding a 95% confidence interval for the mean number of times per day that college students text. The study included 109 students who averaged 28.3 texts per day. The standard deviation was 16.7 texts. Round answers to 3 decimal places where possible.
With 95% confidence the population mean number of texts per day is between ___ and ___ texts.
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