From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant of around 2.1 years. A survey of 40 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? H0: μ ≥ 19 H1: μ < 19 You will need to specify the appropriate hypothesis, identify the statistical test, estimate p-value (using R command pnorm for Z test or pt for T test), and state your conclusion in the context of the problem. The decision tree to identify which test to use is attached. For the conclusion, please use the following template. If you reject the null write Since p-value is [write the value of your p-value] and is less than [write the value of alpha in percent] we reject the null hypothesis at [write the value of alpha]% significance level. That is, there is sufficient evidence in the data to reject [write down the null hypothesis in the context of the problem] If you fail to reject the null write Since p-value is [write the value of your p-value] and is greater than [write the value of alpha in percent], we fail to reject the null hypothesis at [write the value of alpha]% significance level. That is, there is not sufficient evidence in the data to reject [write down null in the context of the problem]
From generation to generation, the
H0: μ ≥ 19
H1: μ < 19
You will need to specify the appropriate hypothesis, identify the statistical test, estimate p-value (using R command pnorm for Z test or pt for T test), and state your conclusion in the context of the problem.
The decision tree to identify which test to use is attached.
For the conclusion, please use the following template.
Since p-value is [write the value of your p-value] and is less than [write the value of alpha in
percent] we reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is sufficient evidence in the data to reject [write down the null hypothesis in the
context of the problem]
If you fail to reject the null write
Since p-value is [write the value of your p-value] and is greater than [write the value of alpha in
percent], we fail to reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is not sufficient evidence in the data to reject [write down null in the context of the
problem]
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