An engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars(the ability to resist tearing when pulled lengthwise).At alpha = 0.05. answer parts (a) through (e). Assume the population variance are equal and the samples random. If convenient, use technology to solve the problem.

Treatment: Tensilestrengths(newtonspersquaremillimeter)

Experimental: 405, 447, 354, 435, 374, 397, 378.

Conventional: 432, 412, 417, 355, 362, 404, 434, 388, 419, 433.

(a) identify the claim and state H0 and Ha. The claim is, the new treatment in the tensile strength of the bars?

(b) which hypothesis is the claim?

(c) find the critical values

(d) identify the rejection region

(e) find the standardized test

statistic and decide whether or not to reject the null hypothesis.

interpret the decision in the context of the original claim.