From generation to generation, the average 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 average starting age is at least 19. The sample average was 18.1 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.) O Part (a) O Part (b) O Part (c) O Part (d) State the distribution to use for the test. (Round your standard deviation to four decimal places.) O Part (e) What is the test statistic? (Round your answer to two decimal places.) -Select--v- O Part (n What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is 18.1 years or less. O f Ho is true, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is not 18.1 years or less. O If Ho is false, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is not 18.1 years or less. O f Ho is true, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is 18.1 years or less.
From generation to generation, the average 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 average starting age is at least 19. The sample average was 18.1 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.) O Part (a) O Part (b) O Part (c) O Part (d) State the distribution to use for the test. (Round your standard deviation to four decimal places.) O Part (e) What is the test statistic? (Round your answer to two decimal places.) -Select--v- O Part (n What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is 18.1 years or less. O f Ho is true, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is not 18.1 years or less. O If Ho is false, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is not 18.1 years or less. O f Ho is true, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is 18.1 years or less.
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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Transcribed Image Text:From generation to generation, the average 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 average starting
age is at least 19. The sample average was 18.1 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.)
O Part (a)
O Part (b)
O Part (c)
O Part (d)
State the distribution to use for the test. (Round your standard deviation to four decimal places.)
O Part (e)
What is the test statistic? (Round your answer to two decimal places.)
--Select--- v =
O Part (f)
What is the p-value? (Round your answer to four decimal places.)
Explain what the p-value means for this problem.
O If H, is false, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is 18.1 years or less.
O If H, is true, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is not 18.1 years or less.
O If Ho is false, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is not 18.1 years or less
O If H, is true, then there is a chance equal to the p-value that the average age of people when they first begin to smoke is 18.1 years or less.
LO Dort (a)
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