2.20. The shelf life of a carbonated beverage is of interest Ten bottles are ran

Question

2.20. The shelf life of a carbonated beverage is of interest Ten bottles are randomly selected and tested, and the follow- ing results are obtained: Days 108 124 124 106 115 138 163 159 134 139 (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 = 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.

Explanation / Answer

One-Sample T: C1

Test of = 120 vs > 120

Variable   N    Mean StDev SE Mean 99% Lower Bound     T      P
C1        10 131.00 19.54     6.18           113.56 1.78 0.054

a) Ho: = 120

Ha: > 120

b) we fail to reject the null hypothesis

c) p-value = 0.054

d)

99% confidence interval

(110.91, 151.09)

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