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OpenStax, Statistics §9.4 Rare Events, the Sample, and the Decision and Conclusion · Exercise 5 · Statistics · Hypothesis testing

Rare Events, the Sample, and the Decision and Conclusion · Exercise 5

The mean age of graduate students at a university is at most 31 years with a standard deviation of two years. A random sample of 15 graduate students is taken. The sample mean is 32 years and the sample standard deviation is three years. Are the data significant at the 1 percent level? The p-value is 0.0264. State the null and alternative hypotheses and interpret the p-value.

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OpenStax, Statistics · §9.4 Rare Events, the Sample, and the Decision and Conclusion · Exercise 5

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