15. Tuna, again Data on the estimated average price for a variety of different brands of tuna, based on prices paid nationally in supermarkets, are shown in the following table.1 Use the MINITAB printout to answer the questions in parts a–c.

a. Do the data in the table present sufficient evidence to indicate a difference in the average prices of light tuna in light water versus light oil? Test using a 5.05.

b. What is the p-value for the test?

c. The MINITAB analysis uses the pooled estimate of 2  .
Is the assumption of equal variances reasonable?
Why or why not?

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Light Tuna In Water Light Tuna In Oil .99 .53 2.56 .62 1.92 1.41 1.92 .66 1.23 1.12 1.30 .62 .85 .63 1.79 .65 .65 .67 1.23 .60 .69 .60 .67 .60 .66 Two-Sample T-Test and Cl: Light Water, Light Oil Descriptive Statistics N Mean StDev SE Mean Sample Light Water 14 Light Oil 0.896 0.400 11 1.147 0.679 Estimation for Difference Pooled 95% CI for Difference StDev Difference -0.251 0.539 (-0.700, 0.198) Test Null hypothesis Alternative hypothesis T-Value DF P-Value -1.16 23 0.260 H-0 H = 0 0.11 0.20