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In: Statistics and Probability

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=25.8 and the sample standard deviation is found to be 6.3. Determine if the population mean is different from 24 at α=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 α=0.01 level of significance to conclude that the population mean is different from 24.

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