In: Statistics and Probability
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.