Question
A textile manufacturer wanted to know if the breaking load (kg/25 mm width) is greater for unabraded fabrics versus fabrics that were abraded. Abraded fabrics
A textile manufacturer wanted to know if the breaking load (kg/25 mm width) is greater for unabraded fabrics versus fabrics that were abraded. Abraded fabrics are produced using friction to produce surface wear on the fabric. The manufacturer randomly selected equal-sized sections of 16 of their fabrics. Each section was then equally divided into two pieces, with the abrasion process being applied to one of them. The tensile strength measurements were taken for all of the fabric pieces with the results given in the following table. You will not need to use the information from all the rows. Please assume that the distribution is normal.
Tensile Strength (in kg/25 mm width) | n | x | s |
---|---|---|---|
Unabraded | 16 | 40.824 | 9.612 |
Abraded | 16 | 33.805 | 11.255 |
Unabraded - Abraded | 16 | 7.019 | 11.713 |
Is there any evidence to suggest that the mean tensile strength of the unabraded fabrics is greater than the mean strength of the abraded fabrics? Use = 0.022. The test statistic is 2.40
A. (0.2 pts.) Calculate the p-value. Please use three decimal place
B.
Calculate the appropriate confidence interval or bound for the mean based on the question in part A. What is the critical value? Please use 4 decimal places. What is the interval or bound? If you are calculating a bound, type 10000 to indicate . Interpet the interval or bound
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