Question: Find the average and the standard error for the strength of cotton yarn used in a weaving factory, based on the data in problem.
Problem: Consider the strength of cotton yarn used in a weaving factory, in pounds of force at breakage, measured from a sample of yarn from the supplies room:
117, 135, 94, 79, 90, 85, 173, 102, 78, 85, 100, 205, 93, 93, 177, 148, 107
a. Find the average breaking strength.
b. Find the median breaking strength.
c. Draw a histogram indicating the average and median values, and briefly comment on their relationship. Are they the same? Why or why not?
d. Draw a cumulative distribution.
e. Find the 10th and the 90th percentiles.
f. Management would like its supplies to provide a breakage value of 100 pounds or more at least 90% of the time. Based on this data set, do these supplies qualify? In particular, which percentile will you compare them to?