Player ABCDE Height (in.) 75 77 79 82 85 a. The population mean height of the flve players is b. Find the sample means for samples of size 2. A, B: x = A, C: x = A, D: x = A, E: x = В, С: й B, D: X = В, Е: х C, D: x = C, E: x = D, E: x = c. Find the mean of all sample means from above:

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Chapter1: Combinatorial Analysis
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the following table provides the starting players of a basketball team and their heights

 
**Table: Heights of Basketball Players**

| Player | A  | B  | C  | D  | E  |
|--------|----|----|----|----|----|
| Height (in.) | 75 | 77 | 79 | 82 | 85 |

**a. Population Mean Height**

The population mean height of the five players is \( \boxed{79.6} \).

**b. Sample Means for Samples of Size 2**

- \( A, B: \bar{x} = \boxed{76} \)
- \( A, C: \bar{x} = \boxed{77} \)
- \( A, D: \bar{x} = \boxed{78.5} \)
- \( A, E: \bar{x} = \boxed{80} \)
- \( B, C: \bar{x} = \boxed{78} \)
- \( B, D: \bar{x} = \boxed{79.5} \)
- \( B, E: \bar{x} = \boxed{81} \)
- \( C, D: \bar{x} = \boxed{80.5} \)
- \( C, E: \bar{x} = \boxed{82} \)
- \( D, E: \bar{x} = \boxed{83.5} \)

**c. Mean of All Sample Means**

The mean of all sample means from above is \( \bar{x} = \boxed{79.6} \).
Transcribed Image Text:**Table: Heights of Basketball Players** | Player | A | B | C | D | E | |--------|----|----|----|----|----| | Height (in.) | 75 | 77 | 79 | 82 | 85 | **a. Population Mean Height** The population mean height of the five players is \( \boxed{79.6} \). **b. Sample Means for Samples of Size 2** - \( A, B: \bar{x} = \boxed{76} \) - \( A, C: \bar{x} = \boxed{77} \) - \( A, D: \bar{x} = \boxed{78.5} \) - \( A, E: \bar{x} = \boxed{80} \) - \( B, C: \bar{x} = \boxed{78} \) - \( B, D: \bar{x} = \boxed{79.5} \) - \( B, E: \bar{x} = \boxed{81} \) - \( C, D: \bar{x} = \boxed{80.5} \) - \( C, E: \bar{x} = \boxed{82} \) - \( D, E: \bar{x} = \boxed{83.5} \) **c. Mean of All Sample Means** The mean of all sample means from above is \( \bar{x} = \boxed{79.6} \).
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