The void volume within a textile fabric affects comfort, flammability, and insulation properties. Permeability of a fabric refers to the accessibility of void space to the flow of a gas or liquid. We have summary information on air permeability (in cm³/cm2/sec) for two different types of plain weave fabric (see below) Cotton: 51.7,49.5,50.5.47.7.477.50.3.51.5.552.48.5,50.5,49.7.46.2 58.9.55.5.62.1,57.8.60.3,58.6,60.8.58.5,61.2,61.8,64.3,59.5 Acetate: (1) Find a 98% confidence interval for the true difference in mean permeability. #Acetate - Cotton Number Number ) Enter your answers correct to 2 decimal places (2) What assumptions did you make to answer this question? Do they seem reasonable? Tick all that apply The sample mean difference is approximately normal. (Seems reasonable since np(1-p) > 5.) Data are approximately normal. (But data are strongly skewed, from the normal quantile plot, so this is not reasonable.) We have two independent random samples of measurements. (Whether this is satisfies depends on the study design.) Data are approximately normal. (Seems reasonable from the normal quantile plot.) Standard deviations are equal. (Seems reasonable, from the data.)

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The void volume within a textile fabric affects comfort, flammability, and insulation properties. Permeability of a fabric refers to the accessibility of void space
to the flow of a gas or liquid. We have summary information on air permeability (in cm³/cm2/sec) for two different types of plain weave fabric (see below).
Cotton: 51.7,49.5,50.5.47.7 47.7.50.3,51.5,55 2,48.5,50.5,49.7.46.2
Acetate:
58.9.55.5.62.1,57.8,60.3,58.6.60.8.58.5,61.2.61.8,64.3,59.5
(1) Find a 98% confidence interval for the true difference in mean permeability. /Acetate - #Cotton
(Number
Number
) Enter your answers correct to 2 decimal places.
(2) What assumptions did you make to answer this question? Do they seem reasonable? Tick all that apply
The sample mean difference is approximately normal
(Seems reasonable since np(1-p) > 5.)
Data are approximately normal.
(But data are strongly skewed, from the normal quantile plot, so this is not reasonable.)
We have two independent random samples of measurements.
(Whether this is satisfies depends on the study design.)
Data are approximately normal
(Seems reasonable from the normal quantile plot.)
Standard deviations are equal.
(Seems reasonable, from the data.)
Transcribed Image Text:The void volume within a textile fabric affects comfort, flammability, and insulation properties. Permeability of a fabric refers to the accessibility of void space to the flow of a gas or liquid. We have summary information on air permeability (in cm³/cm2/sec) for two different types of plain weave fabric (see below). Cotton: 51.7,49.5,50.5.47.7 47.7.50.3,51.5,55 2,48.5,50.5,49.7.46.2 Acetate: 58.9.55.5.62.1,57.8,60.3,58.6.60.8.58.5,61.2.61.8,64.3,59.5 (1) Find a 98% confidence interval for the true difference in mean permeability. /Acetate - #Cotton (Number Number ) Enter your answers correct to 2 decimal places. (2) What assumptions did you make to answer this question? Do they seem reasonable? Tick all that apply The sample mean difference is approximately normal (Seems reasonable since np(1-p) > 5.) Data are approximately normal. (But data are strongly skewed, from the normal quantile plot, so this is not reasonable.) We have two independent random samples of measurements. (Whether this is satisfies depends on the study design.) Data are approximately normal (Seems reasonable from the normal quantile plot.) Standard deviations are equal. (Seems reasonable, from the data.)
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