Question: Build-It-Yourself Company sells an unassembled desk at a super low price. Customers have complained that one of the desk shelves is not cut to the proper length, meaning the desk cannot be assembled properly. The desk shelf is specified to be 10 inches. The company takes a sample of 50 desk shelves and finds the average length to be 7.8 inches, with a standard deviation of 0.5. At a significance level of \(\alpha =\text{0}\text{.05}\) , test to determine if this sample data supports customer complaints.