8. The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 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 years old. Do the data support the claim at the 1% significance level? a. State the null and alternative hypotheses. b. Calculate the z test statistic. c. Find the P-value. d. Make a decision about the hypotheses and explain your conclusion.
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- Null Hypothesis (H0): The mean age when smokers first start is 13 years old. - Alternative Hypothesis (H1): The mean age when smokers first start is not equal to 13 years old. Show more…
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The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 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? What are the correct hypotheses? H0: years H1: 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) Based on the above we choose to The correct summary would be: that the claim that the mean age smokers first start is different than 13.
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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 30 smokers found that their mean starting age was 12.4 years old. Do the data support the claim at the 10% significance level? What are the correct hypotheses? H₀: Select an answer ? years H₁: Select an answer ? years Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 4 decimal places) Based on the above we choose to Select an answer The correct summary would be: There is enough evidence to support the claim There is enough evidence to reject the claim There is not enough evidence to support the claim There is not enough evidence to reject the claim that the claim that the mean age smokers first start is different than 13.
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From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 42 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? Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper bounds to two decimal places.)
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