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 |
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State the null hypothesis and the alternate hypothesis.
State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.)
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
At the 0.025 level, has Holdlonger increased the shelf life of the chlorine?
Estimate the p-value.
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