The shelf life of a carbonated beverage is of interest. Ten bottles are randomly selected and tested,
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The shelf life of a carbonated beverage is of interest. Ten bottles are randomly selected and tested, and the following results are obtained:
Days | |
108 | 138 |
124 | 163 |
124 | 159 |
106 | 134 |
115 | 139 |
(a) We would like to demonstrate that the mean shelf life exceeds 120 days. Set up appropriate hypotheses for investigating this claim.
(b) Test these hypotheses using α = 0.01. What are your conclusions?
(c) Find the P-value for the test in part (b).
(d) Construct a 99 percent confidence interval on the mean shelf life.
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