Question 6 Physical Sciences The manufacturer of an LG Electronics residential stove can order parts from two different suppliers: The Repair Clinic and The Parts Pros. The small burners, or elements, are designed to produce 7.4 kW at 240 V. To decide which supplier to use, independent random samples from each supplier were obtained, and each element's output (in kilowatts) was carelllyr measured. For the Repair Clinic, m = 12, i. = 1.361, and 511= 0.31; for The Parts Pros, n: = 15, i2 = 1.301, and 612 = 0.64. Assume the underlying distributions are normal and use 111 = 0.05 for the following. a. Is there any evidence to suggest that the population mean output ofelements from The Repair Clinic is different from 7.4? (0.5 marks) b. Is there any evidence to suggest that the population mean output ofelements from The Parts Pros is different from 7.4? (0.5 marks) Is there any evidence to suggest that J11 is different from 111? (0.5 marks) d. Using the results from parts (a), (b), and (c), which supplier should the manufacturer use? (0.5 marks) 5"