An engineering statistician wants to conduct a test to determine if there is a difference in the compression strength of two different manufactures of reinforced concrete columns. Each manufacturer has provided sample data for compression strength (column failure) as follows:
Manufacturer 1: mean compression strength is 956 KSI based on 30 samples with a standard deviation of 192 KSI.
Manufacturer 2: mean compression strength of 898 KSI based on 25 samples with a standard deviation of 256 KSI
Conduct a test at alpha equal to .01 to see if there is a difference between the two different manufacturers. Consider the data to be from two different populations.