An important property of fiber is its ability to absorb water. Thirty (30) randomly selected pieces of cotton fiber were found to have an average percent absorbency of 20 with a standard deviation of 1.75. On the other hand, 30 pieces of acetate had an average percent absorbency of 14 and a standard deviation of 1.50. a) Assuming that the percent absorbency is normally distributed and that the population variances for the two variances are the same, is there convincing evidence to conclude that the mean percent absorbency for cotton fiber is significantly higher than for acetate? Use a significance level of 0.10. b) What is the p-value of the test statistic? c) Determine the corresponding confidence interval for the mean difference between the average percent absorbency of the two fibers.

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.