Problem 1: You are an operations manager at a large manufacturing plant. You want to analyze the plant's monthly electric power consumption, assuming that it is dependent on the average ambient temperature, the working days, and whether an equipment maintenance is conducted in the month. In the following table, y is the monthly power consumption (in thousands of kWh ), x1 is the average ambient temperature (in OF),x2 is the number of working days in the month, and Maintenance indicates whether an equipment maintenance took place or not. For example, the first row of the data shows that the monthly power consumption was 210,000kWh when the average ambient temperature was 20F, working days were 23, and an equipment maintenance took place. The questions are based around the following model: y=0+1x1+2x2+3x3+ Using the given data, you should estimate this model to give the prediction equation: y^=b0+b1x1+b2x2+b3x3 [12 marks] a) Write the estimated equation. b) Next month, there will be 22 working days and the forecasted average ambient temperature is 45F. There is also an equipment maintenance planned in the month. What will be your estimate for the month's power consumption? Page 1 of 3 Test whether, given the same average ambient temperature and the same number of working days, the power consumption in a month with an equipment maintenance will be significantly less than the power consumption in a month without an equipment maintenance. Use a 0.05 level of significance. c) Hypotheses: d) Rejection rule: e) Decision and interpretation