The shelf life of a carbonated beverage is of interestFollow

The shelf life of a carbonated beverage is of interest.Following data is obtained (in days) The company claims that carbonated beverage shelf life exceeds 125 days. ( = 0.05) 108 134 124 116 128 163 159 134

a) Write down the hypothesis for testing water quality. Show the critical region and values on a graph.

b) Is there evidence to support the company claim? Conclude with a p-value.

c) What is the probability of wrongfully concluding that shelf life exceeds 125 days if the true mean shelf life is actually 120 days.

d) Is the risk you found in part c is large? If yes, what would be your advice for reducing it?

e) What is the smallest sample size that can be used to have a power of test equal to 0.9 when true mean is set at 118 days.

f) If the critical value of the hypothesis is changed to be 1.25, what is the associated Type-I error?

Solution