6. SAT ver instituted a new program to engage students in reading. A sample of nine studets from this high school is randomly selected following their participation in this reading program and their SAT verbal scores were reported: es are normally distributed with a u = 500. A local high 600 760 550 505 660 540 480 535 455 Is the sample mean significantly different from the population mean?

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**SAT Verbal Scores Analysis**

SAT verbal scores are known to be normally distributed with a population mean (μ) of 500. A local high school has implemented a new reading program designed to enhance student engagement. As part of an evaluation of this program, a sample of nine students was randomly selected, and their SAT verbal scores were recorded as follows: 

- 600
- 760
- 550
- 505
- 660
- 540
- 480
- 535
- 455

The question posed is: *Is the sample mean significantly different from the population mean?*

This scenario provides an opportunity to apply statistical methods to determine if the reading program has made a significant impact on student performance in comparison to the established population mean.
Transcribed Image Text:**SAT Verbal Scores Analysis** SAT verbal scores are known to be normally distributed with a population mean (μ) of 500. A local high school has implemented a new reading program designed to enhance student engagement. As part of an evaluation of this program, a sample of nine students was randomly selected, and their SAT verbal scores were recorded as follows: - 600 - 760 - 550 - 505 - 660 - 540 - 480 - 535 - 455 The question posed is: *Is the sample mean significantly different from the population mean?* This scenario provides an opportunity to apply statistical methods to determine if the reading program has made a significant impact on student performance in comparison to the established population mean.
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