As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle-the farthest a subject is able to lean and still recover in one step-was determined for both a sample of younger females (21-29 years) and a sample of older females (67-81 years). The following observations are consistent with summary data given in the article: YF: 28, 35, 32, 27, 28, 32, 31, 34, 32, 25 OF: 17, 16, 21, 13, 12 Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use #₁ for younger females and #₂ for older females.) USE SALT 0 H : H1 - 2 = 0 H₂: H₂H₂ <0 o Hoi Hì Hy = 10 H₂: H₁-H₂ < 10 * O H H - H2=0 H₂: H₁ H₂ > 0 Hai Hy Hy = 10 Ha: H1 -H2 > 10 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) 2.5 x You may have rounded in the wrong direction. x P-value = 0.013

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle-the farthest a subject is able to lean and still recover in one step-was determined
for both a sample of younger females (21-29 years) and a sample of older females (67-81 years). The following observations are consistent with summary data given in the article:
YF: 28, 35, 32, 27, 28, 32, 31, 34, 32, 25
OF: 17, 16, 21, 13, 12.
USE SALT
Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use ₁ for younger females and
#₂ for older females.)
ної н1-H2=0
На: М1 - M2 <0
0 Но 1 - 2 = 10
H: M₁-M₂ < 10
о но H1-12=0
Ha: H1 - H2>0
ⒸH₁ H₁-H₂ = 10
На: H1 - H2> 10
Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
2.5
x
t =
P-value = 0.013
You may have rounded in the wrong direction.
X
Transcribed Image Text:As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle-the farthest a subject is able to lean and still recover in one step-was determined for both a sample of younger females (21-29 years) and a sample of older females (67-81 years). The following observations are consistent with summary data given in the article: YF: 28, 35, 32, 27, 28, 32, 31, 34, 32, 25 OF: 17, 16, 21, 13, 12. USE SALT Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use ₁ for younger females and #₂ for older females.) ної н1-H2=0 На: М1 - M2 <0 0 Но 1 - 2 = 10 H: M₁-M₂ < 10 о но H1-12=0 Ha: H1 - H2>0 ⒸH₁ H₁-H₂ = 10 На: H1 - H2> 10 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) 2.5 x t = P-value = 0.013 You may have rounded in the wrong direction. X
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