Question

Please show all work detailed. Thank you very much!!!!

A sample of n-20 cold-processed steel bar specimens was taken to measure their strength. The average resistance was 29.8 ksi, while the sample standard deviation was 4.0 ksi. A second sample consisting of 25 galvanized steel bars was also evaluated. The average resistance for this second sample was 34.7 ksi. and the sample standard deviation was 5.0 ksi.

Assuming that the data comes from normal distributions and that the variances cannot be assumed to be the same:

to. Determine if there is evidence to conclude that the measures of both populations are different. Express your conclusion clearly, clearly state the hypotheses you are testing, the areas of acceptance and rejection, the test statistic, and Express your conclusion in complete sentence.

b. Calculate the p value. Explains how to use the p value to conclude.

c. It would have been reasonable to assume equal variances

Answer 1

c) It would never have been reasonable to assume equar variance as the two samples and types of bars are completely different