The following are tensile strengths of cotton fibers from two suppliers of a tex

Question

The following are tensile strengths of cotton fibers from two suppliers of a textile mill.

(a) Use StatKey to create a bootstrap distribution (consisting of at least 5000 bootstrap samples) based on the sample data. Copy screenshots of the bootstrap dotplot and original sample box into your assignment.

Mean = 2.388

standard error = 2.098

(b) Find a 95% confidence interval for the difference between the average tensile strength of Supplier A’s cotton and the average tensile strength of Supplier B’s cotton. Use the formula "statistic (plus or minus) 2 x standard error".

2.388 (plus or minus) 2 x 2.098 (4.196)

The confidence interval for the difference between the average tensile strength of Supplier A’s cotton and the average tensile strength of Supplier B’s cotton is -1.808 to 6.584

(c) Is it reasonable to conclude that there is a difference in average tensile strength between Supplier A’s cotton and Supplier B’s cotton? Why or why not?

???

(d) Now, suppose another measurement was taken from Supplier A, and that measurement is a tensile strength of 10. Construct another bootstrap distribution with the seventh Supplier A measurement included. Then fill in the blanks in the following statement. The possible answers are included underneath the statement.

The shape of the bootstrap distribution is right skewed, and the distribution has more than two peaks , so it is not appropriate to use the methods of Chapter 3 to find a bootstrap confidence interval.

Explanation / Answer

C) No, Because the confidence interval is containing zero within the range(-1.808 to 6.584). So, we can say there is no difference in the average tensile strength between supplier A and supplier B cotton.

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