Older Younger both stance duration distributions are normal. USE SALT 808 790 17 Calculate a 99% CI for true average stance duration among elderly individuals. (Round your answers to one decimal place.) ]) ms -H₁¹ H₁-H₂=0 H₂H₁ H₂ 20 Hỏi tim khô H₂: H₁-H₂> 0 118 74 rpret your 99% CI. With 99% confidence, we can say that the true average stance duration among elderly individuals falls above the upper bound. With 99% confidence, we can say that the true average stance duration among elderly individuals falls between these values. With 99% confidence, we can say that the true average stance duration among elderly individuals falls outside these values. With 99% confidence, we can say that the true average stance duration among elderly individuals falls below the lower bound. ної на-H2=0 H₂H₁-H₂0 Carry out a test of hypotheses at significance level 0.05 to decide whether true average stance duration is larger among elderly individuals than among younger individuals. (Use μ, for elderly individuals and 2 for younger individuals.) e the relevant hypotheses. Ho: M₁ M₂=0 H₂: H₁-H₂

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The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. An article presented the following summary data on stance duration (ms) for samples of both older and younger adults.
Sample Size
27
17
Age
Older
Younger
Sample Mean
808
790
Assume that both stance duration distributions are normal.
USE SALT
Sample SD
118
74
(a) Calculate a 99% CI for true average stance duration among elderly individuals. (Round your answers to one decimal place.)
ms
Interpret your 99% CI.
O With 99% confidence, we can say that the true average stance duration among elderly individuals falls above the upper bound.
O With 99% confidence, we can say that the true average stance duration among elderly individuals falls between these values.
O With 99% confidence, we can say that the true average stance duration among elderly individuals falls outside these values.
O With 99% confidence, we can say that the true average stance duration among elderly individuals falls below the lower bound.
(b) Carry out a test of hypotheses at significance level 0.05 to decide whether true average stance duration is larger
State the relevant hypotheses.
ⒸHO: H₁-H₂=0
H₂ M₂H₂ <O
O Ho: M₂ M₂0
H₂H₂-H₂ ZO
o Ho Hy Hy = 0
Hy: Hy - H₂ > 0
O Ho: M₁-M₂0
H₂H₁ H₂0
larger among elderly individuals than among
among elderly individuals
than among younger individuals. (Use μ₁
younger individuals.
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.)
t=
P-value=
(Use μ₁ for elderly individuals and ₂ for younger individuals.
State the conclusion in the problem context.
O Reject Ho. The data does not suggest that the true average stance duration is larger among elderly individuals than among younger individuals.
O Reject Ho. The data suggests that the true average stance duration is larger among elderly individuals than among younger individuals.
O Fail to reject H. The data does not suggest that the true average stance duration is larger among elderly individuals than among younger individuals.
O Fail to reject Ho. The data suggests that the true average stance duration is larger among elderly individuals than among younger individuals.
Transcribed Image Text:The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. An article presented the following summary data on stance duration (ms) for samples of both older and younger adults. Sample Size 27 17 Age Older Younger Sample Mean 808 790 Assume that both stance duration distributions are normal. USE SALT Sample SD 118 74 (a) Calculate a 99% CI for true average stance duration among elderly individuals. (Round your answers to one decimal place.) ms Interpret your 99% CI. O With 99% confidence, we can say that the true average stance duration among elderly individuals falls above the upper bound. O With 99% confidence, we can say that the true average stance duration among elderly individuals falls between these values. O With 99% confidence, we can say that the true average stance duration among elderly individuals falls outside these values. O With 99% confidence, we can say that the true average stance duration among elderly individuals falls below the lower bound. (b) Carry out a test of hypotheses at significance level 0.05 to decide whether true average stance duration is larger State the relevant hypotheses. ⒸHO: H₁-H₂=0 H₂ M₂H₂ <O O Ho: M₂ M₂0 H₂H₂-H₂ ZO o Ho Hy Hy = 0 Hy: Hy - H₂ > 0 O Ho: M₁-M₂0 H₂H₁ H₂0 larger among elderly individuals than among among elderly individuals than among younger individuals. (Use μ₁ younger individuals. 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.) t= P-value= (Use μ₁ for elderly individuals and ₂ for younger individuals. State the conclusion in the problem context. O Reject Ho. The data does not suggest that the true average stance duration is larger among elderly individuals than among younger individuals. O Reject Ho. The data suggests that the true average stance duration is larger among elderly individuals than among younger individuals. O Fail to reject H. The data does not suggest that the true average stance duration is larger among elderly individuals than among younger individuals. O Fail to reject Ho. The data suggests that the true average stance duration is larger among elderly individuals than among younger individuals.
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