The liquid chlorine added to swimming pools to combat algae has a relatively sho

Question

The liquid chlorine added to swimming pools to combat algae has a relatively short shelf life before it loses its effectiveness. Records indicate that the mean shelf life of a 5-gallon jug of chlorine is 2, 160 hours (90 days). As an experiment. Holdlonger was added to the chlorine to find whether it would increase the shelf life. A sample of nine jugs of chlorine had these shelf lives (in hours): 2, 159 2, 170 2, 180, 2, 179, 2, 160, 2, 167, 2, 171, 2, 181, 2, 185 State the null hypothesis and the alternate hypothesis. H_0: mu lessthanorequalto 2, 160 H_1 mu > 2, 160 State the decision rule for .025 significance level. (Round your answer to 3 decimal places.) Reject H_0 if t > 0 ______ Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic ________

Explanation / Answer

degree of freedom =n-1 =8

here reject Ho if t> 2.306

test stat t=(X-mean)/std error =(2172.444-2160)/3.127=3.98

X 2159.000 2170.000 2180.000 2179.000 2160.000 2167.000 2171.000 2181.000 2185.000 mean(X) 2172.444 std deviation(S) 9.382 std error =S/(n)1/2 3.127

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