Fuchs and Kenett (1987) presented data on citrus juice for fruits grown during a specific season at a specific location. The sample size was 80 but many variables were measured on each sample. Sample statistics for some of these variables are given below.

Variable BX AC SUG K FORM PECT Mean 10.4 1.3 7.7 1180.0 22.2 451.0 Variance 0.38 0.036 0.260 43590.364 6.529 16553.996 The variables are BX—total soluble solids produced at 20oC, AC—acidity as citric acid unhydrons, SUG—total sugars after inversion, K—potassium, FORM—formol number, PECT—total pectin.

Give a 99% confidence interval for the population mean of each variable. Give a 99% prediction interval for each variable. Test whether the mean of BX equals 10. Test whether the mean of SUG is equal to 7.5. Use α = 0.01 for each test.