A simple random sample of size n 15 is drawn from a population that is normalily

Question

A simple random sample of size n 15 is drawn from a population that is normalily distributed. The sample mean is found to be x-18.7 and the sample standard deviation is found to be s-6.3. Deermine if the popuilation mean is different fro 25the a . 0.01 level of sgfcance. Completo parts (a) trough (d) below (a) Determine the null and ahemative hypotheses b) Calouate the P.valu P-value "L Round to theee decimal places as needed lc) State the condlusion for the test C. Reject no because the P-vulue is less tan toa»001 level or sgnicanc. D. Roject H9 because the P-val e is geater than the a-001 level ds.onnance (d) State the condlusion in context of the problem

Explanation / Answer

Solution:-

t = (18.7 - 25)/(6.3/sqrt(15) = -3.8730.

b) p - value :- 0.0001

c) option C.

d) there sufficient evidence at the alpha = 0.01 level of signifcance to conclude that the population mean is different trun 25

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