The mean age when smokers first start is 13 years old with a population standard deviation of 1.9 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 35 smokers found that their mean starting age was 12.1 years old. Do the data support the claim at the 10% significance level? H1: Select an answer s p̂ μ s² p x̄ σ² σ ? ≠ ≤ = ≥ > < years Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 4 decimal places) Critical Values =±± (Give answer to at least 4 decimal places)
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!
The
H1: Select an answer s p̂ μ s² p x̄ σ² σ ? ≠ ≤ = ≥ > < years
Based on the hypotheses, find the following:
Test Statistic z = (Give answer to at least 4 decimal places)
Critical Values =±± (Give answer to at least 4 decimal places)
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