A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.6 and the sample standard deviation is found to be s = 6.3....

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Extracted text: A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.6 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 25 at the a = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho: H = 25 H1: H # 25 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.)