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 37 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.2 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: μ < 19 H0: μ ≥ 19 H0: μ ≠ 19 H0: μ = 19 Part (b) State the alternative hypothesis. Ha: μ ≥ 19 Ha: μ = 19 Ha: μ < 19 Ha: μ ≠ 19 Part (c) In words, state what your random variable X represents. X represents the age of a person when he or she first began smoking. X represents the average number of cigarettes for each smoker. X represents the average age of the sample of smokers. X represents the average age when smokers first start to smoke.
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 37 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.2 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: μ < 19 H0: μ ≥ 19 H0: μ ≠ 19 H0: μ = 19 Part (b) State the alternative hypothesis. Ha: μ ≥ 19 Ha: μ = 19 Ha: μ < 19 Ha: μ ≠ 19 Part (c) In words, state what your random variable X represents. X represents the age of a person when he or she first began smoking. X represents the average number of cigarettes for each smoker. X represents the average age of the sample of smokers. X represents the average age when smokers first start to smoke.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 37 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.2 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level?
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population isnormally distributed. (In general, you must first prove that assumption, though.)
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is
-
Part (a)
State the null hypothesis.H0:μ < 19H0:μ ≥ 19H0:μ ≠ 19H0:μ = 19 -
Part (b)
State the alternative hypothesis.Ha:μ ≥ 19Ha:μ = 19Ha:μ < 19Ha:μ ≠ 19 -
Part (c)
In words, state what your random variable X represents.Xrepresents the age of a person when he or she first began smoking.Xrepresents the average number of cigarettes for each smoker.Xrepresents the average age of the sample of smokers.Xrepresents the average age when smokers first start to smoke. -
Part (d)
State the distribution to use for the test. (Round your answers to four decimal places.)
X~ -
Part (e)
What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.)
---Select--- t z = -
Part (f)
What is the p-value
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