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 overbar equals31.1 and the sample standard deviation is found to be s= 6.3. Determine if the population mean is different from 26 at the alpha equals 0.01 level of significance. Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
(b) Calculate the P-value.
(c) State the conclusion for the test.
(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 26.
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