The data in the table represent a possible starting lineup for a basketball team. Use the data to answer parts (a) through (c). (Assume that sampling is without replacement.) Player Position Height (in.) A Center 83 Guard 76 Forward 80 Guard 72 Forward 80 a. Find the population mean height of the five players. µ = 78.2 inch(es) (Type an integer or a decimal. Do not round.) b. Consider samples of size 3 without replacement. Use the following table of sample means to find the mean, µz, of the variable, x. Sample А, В, С А, В, D А, В, Е А, С, D А, С, Е Heights 83, 76, 80 83, 76, 72 83, 76, 80 83, 80, 72 83, 80, 80 Sample A, D, E В, С, D В, С, Е B, D, E C, D, E Heights 83, 72, 80 76, 80, 72 76, 80, 80 76, 72, 80 80, 72, 80 79.67 78.33 77.00 76.00 79.67 78.67 78.33 76.00 81.00 77.33 H = inch(es) (Type an integer or decimal rounded to one decimal place as needed.) MCDE

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