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7.2 K HW Score: 96.07%, 26.9 of 28 points Points: 0.5 of 1 The accompanying frequency distribution summarizes sample data consisting of ages of randomly selected inmates in federal prisons. Use the data to construct a 95% confidence interval estimate of the mean age of all inmates in federal prisons. GOODB Age (years) 16-25 26-35 36-45 46-55 56-65 Over 65 Using the class limits of 66-75 for the "over 65" group, find the confidence interval. με (Round to one decimal place as needed.) Save Number 12 60 65 37 13 4 0

2. We wish to analyze the monthly water usage of a production plant, Y (in gallons), with respect to its monthly production X₁ (in tons), mean monthly temperature X₂ (in °F) and the monthly number of days X3 of plant operation using the data given in the file 'WATER.xlsx'. The following models are considered: I: II: Y = Y = Bo + B₁X₁ + B₂X2 + ß3X3 + E, Bo + B₁X₁ + B2X2 + B3X3 + B₁X1X2 + B5X₁X3 + B6X2X3 + ε Perform your tests at a = 10% in this question. (a) Generate a matrix scatter plot and state the relationship among these variables. (b) Use R/Minitab to estimate the parameters of Model I, set up three hypotheses to test whether each variable is useful given that the other variables are in the model. (c) In Model II, the interaction terms among these three variables are considered. Using the sum of squared residuals from the estimates of models I and II, do an F-test to test the whether all these interaction terms are useful jointly in predicting the monthly water usage of the…

The computation of the various SS terms can be viewed as a two-step effort. Explain it.