Based on your answer in Exercise 4.98, do you believe the new fabric has the same me...

Based on your answer in Exercise 4.98, do you believe the new fabric has the same mean breaking strength as the old? (Assume σ = 10.2.)

REFERENCE:

4.98 : Refer to Exercise 4.97. Suppose that the mean breaking strength for the sample of 15 one footsections of the new synthetic fabric is 2,268 psi. What is the probability of observing a value of equal to or greater than 2,268, assuming that the mean breaking strength for the new fabric is 2,250, the same as that for the old?

REFERENCE:

4.97 : Refer to Exercise 4.96. Suppose that a new synthetic fabric has been developed that may have a different mean breaking strength. A random sample of 15 one-foot sections is obtained and each section is tested for breaking strength. If we assume that the population standard deviation for the new fabric is identical to that for the old fabric, give the standard deviation for the sampling distribution of using the new fabric.

REFERENCE:

4.96 : The breaking strengths for 1-foot-square samples of a particular synthetic fabric are approximately normally distributed with a mean of 2,250 pounds per square inch (psi) and a standard deviation of 10.2 psi.

a. Find the probability of selecting a 1-foot-square sample of material at random that on testing would have a breaking strength in excess of 2,265 psi.

b. Describe the sampling distribution for based on random samples of 15 1-foot sections.