Question

Two methods have been developed to determine the nickel content of steel. In a sample of five replications of the first method on a certain kind of steel, the average measurement was 3.16% with a standard deviation of 0.042%. The average of seven replications of the second method was 3.24% and a standard deviation of 0.048%. Assume that it is known that the population variances are equal. Using hypothesis testing, can we conclude that there is a difference in the mean level of nickel by these 2 measurements at the 0.01 level of significance?
Answer should be in step by step procedure with formulas.

Do not use software

Answer 1