Please solve the problems using Minitab as the tool.For each problem, (1) specify the business and statistical hypotheses, (2) specify what the Type I and Type II errors are in this business context, and, the implications of making those errors, (3) include the results from Minitab, (4) draw appropriate conclusions to your statistical hypotheses based on the results, and, finally, (5) present the business conclusions in a short non-statistical summary

Question:

The Glen Valley Steel Company manufactures steel bars.If the production process is working properly, it turns out steel bars with lengths that are normally distributed with a mean of at least 2.8 feet, with a standard deviation of 0.20 foot (as determined by the engineering specifications on the production equipment involved). Longer steel bars can be used or altered, but shorter steel bars must be scrapped.You select a sample of 25 bars, and the mean length is 2.73 feet.Do you need to adjust the production equipment?(use a significance level of 0.05)