Is Your Nose Getting Bigger? Next time you see an elderly man, check out his nose and ears! While most parts of the human body stop growing as we reach adulthood, studies show that noses and ears continue to grow larger throughout our lifetime. In one study¹ examining noses, researchers report "Age significantly influenced all analyzed measurements:" including volume, surface area, height, and width of noses. In a test to see whether there is a positive linear relationship between age and nose size, the study indicates that "p < 0.001." ¹Sforza C, Grandi G, De Menezes M, Tartaglia GM, Ferrario VF, "Age- and sex-related changes in the normal human external nose", Forensic Science International, 2011 Jan 30;204(1-3):205.e1-9. (a) State the hypotheses. " II Ho: TI μ #₂ C vs Ha: 4 Р H₂ p :: Pi ^ ^ P₁ :: P₂ I #r P2 #0 p :: F₁

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Read the passage on Nose Getting Bigger and then answer the questions carefully to get the correct answers.

(b) Give the formal decision using a 5 % significance level.
Reject Ho.
O Do not reject Ho.
eTextbook and Media
(c) Interpret the conclusion in context.
O We have evidence that there is a positive linear relationship between age and nose size.
We do not have evidence that there is a positive linear relationship between age and nose size.
O We have evidence that there is no linear relationship between age and nose size.
O We do not have evidence that there is no linear relationship between age and nose size.
Transcribed Image Text:(b) Give the formal decision using a 5 % significance level. Reject Ho. O Do not reject Ho. eTextbook and Media (c) Interpret the conclusion in context. O We have evidence that there is a positive linear relationship between age and nose size. We do not have evidence that there is a positive linear relationship between age and nose size. O We have evidence that there is no linear relationship between age and nose size. O We do not have evidence that there is no linear relationship between age and nose size.
Is Your Nose Getting Bigger?
Next time you see an elderly man, check out his nose and ears! While most parts of the human body stop growing as we reach
adulthood, studies show that noses and ears continue to grow larger throughout our lifetime. In one study¹ examining noses,
researchers report "Age significantly influenced all analyzed measurements:" including volume, surface area, height, and width of
noses. In a test to see whether there is a positive linear relationship between age and nose size, the study indicates that "p < 0.001."
1Sforza C, Grandi G, De Menezes M, Tartaglia GM, Ferrario VF, "Age- and sex-related changes in the normal human external nose",
Forensic Science International, 2011 Jan 30;204(1-3):205.e1-9.
(a) State the hypotheses.
Ho:
μ
3 vs Ha:¦
₂
4
:: p
2 :: p
:: P₁
P₁ :: P₂
:: P₂
r
: 0
p
x
₁
Transcribed Image Text:Is Your Nose Getting Bigger? Next time you see an elderly man, check out his nose and ears! While most parts of the human body stop growing as we reach adulthood, studies show that noses and ears continue to grow larger throughout our lifetime. In one study¹ examining noses, researchers report "Age significantly influenced all analyzed measurements:" including volume, surface area, height, and width of noses. In a test to see whether there is a positive linear relationship between age and nose size, the study indicates that "p < 0.001." 1Sforza C, Grandi G, De Menezes M, Tartaglia GM, Ferrario VF, "Age- and sex-related changes in the normal human external nose", Forensic Science International, 2011 Jan 30;204(1-3):205.e1-9. (a) State the hypotheses. Ho: μ 3 vs Ha:¦ ₂ 4 :: p 2 :: p :: P₁ P₁ :: P₂ :: P₂ r : 0 p x ₁
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