Question

A simple random sample of size n=  15 is drawn from a population that is normally distributed....

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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