DuToit , Hansen, and Osborne measured the diameters of some no. 10machine screws with two different calipers(digital and Vernier scale).Part of their data is recorded here. Given in the small frequency table are the measurements obtained on 50 screws by one of the students using the digital calipers Diameter (mm) Frequency
4.52 1
4.66 4
4.67 7
4.68 7
4.69 14
4.70 9
4.71 4
4.72 4
In the context of the machine screw diameter study of exercise 4 of section 6.1, suppose that the nominal diameter of such screws is 4.70 mm. Use the five-step significance-testing format and assess the strength of the evidence provided by the data that the long-run mean measured diameter differs from nominal. (you will want to begin with HsubO mu=4.70 mm and use HsubA mu does not equal 4.70mm)