Statistics by Robert S. Witte

Author:Robert S. Witte
Language: eng
Format: mobi
Published: 2016-11-30T06:34:59+00:00

1 2 . 2 C O N F I D E N C E I N T E R VA L ( C I ) F O R μ

2 2 5

are false because they fail to include the unknown population mean. To illustrate this point, only 1 of the 16 sample means shown in Figure 12.2 is not within 1.96 standard errors of the unknown population mean. The resulting confidence interval, shown as shaded, has a range that does not span the broken line for the population mean, thereby being designated as a false interval because it fails to include the value of the unknown population mean.

C o n f i d e n c e I n t e r v a l f o r μ B a s e d o n z

To determine the previously reported confidence interval of 511.44 to 554.56 for the unknown mean math score of all local freshmen, use the following general expression: CONFIDENCE INTERVAL FOR μ (BASED ON z ) X ( z

)(

)

(12.1)

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