A simple random sample of sizen=15 is drawn from a population that is normally distributed. The sample mean 25 at the a = 0.01 level of significance. Complete parts (a) through (d) below. found to be x = 22.1 and the sample standard deviation is found to be s= 6.3. Determine if the population mean is different from (a) Determine the null and alternative hypotheses. Ho: 25 H: V25 (b) Calculate the P-value. P-value = (Round 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. O B. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance. OC. Do not reject Ho because the P-value is less than the a = 0.01 level of significance. O D. Reject H, because the P-value is less than the a= 0.01 level of significance. (d) State the conclusion in context of the problem. There V sufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 25.

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