The Void Volume Within A Textile Fabric Affects Comfort Flammability And Insulation Properties Permeability Of A Fabr 1 (61.44 KiB) Viewed 110 times
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. A recent study conducted gave information on the air permeability (cm /cm/sec - referred to below as "units”) for three different fabric types: Fabric Type Cotton Wool Triacetate Sample Size Sample Mean 10 51.71 10 47.65 10 136.14 Sample Standard Deviation 0.79 1.20 3.59 The researcher wishes to know if the mean air permeability of wool is plausibly 47 units in the population. They choose to analyse this using a one-sample t test, and confirm that the data is independent and approximately normally distributed. a) Explain why a one-sample t-test is an appropriate test to conduct for the researcher. b) State the appropriate null and alternative hypothesis. c) Use the p-value in the Minitab output below to conclude if there is evidence that the population mean air permeability of wool is 47 units.
One-Sample T Descriptive Statistics N Mean StDev SE Mean 95% CI for 10 47.650 1.200 0.379 (46.792, 48.508) mean of Sample Test T-Value P-value 1.71 0.121 d) Give the correct interpretation of the 95% confidence interval from the output above. Use this to suggest if there is evidence that the population mean air permeability of wool is 47 units.
e) What statistical procedure/test would you use to see if there was a significant difference between wool and cotton in the population? f) For your chosen procedure, state the correct null and alternative hypotheses, and what you would conclude if you knew the p-value was equal to 0.016.
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