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 =22.5 and the sample standard deviation is found to be s = 6.3....

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 =22.5 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: 25 H4: 25 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Reject Ho because the P-value is greater than the a = 0.01 level of significance. B. Do not reject Ho because the P-value is less than the a = 0.01 level of significance. C. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance. D. Reject Ho because the P-value is less than the a = 0.01 level of significance.


Extracted text: (d) State the conclusion in context of the problem. There sufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 25.