Question: Do these data suggest there is a significant difference in calories between servings of strawberry and vanilla yogurt? Brand Calories per Serving Strawberry Vanilla America's

Do these data suggest there is a significant difference in calories between servings of strawberry and vanilla yogurt?

Brand Calories per Serving

Strawberry Vanilla

America's Choice 210 200

Breyer's Lowfat 240 220

Columbo 210 180

Dannon Light 'n Fit 120 120

Dannon Lowfat 210 230

Dannon la Crme 140 140

Great Value 125 80

La yogurt 180 160

Mountain High 200 170

Stonyfield Farm 110 120

Yoplait Custard 205 190

Yoplait Light 100 100

a) Are these two sets of data dependent (paired) or independent? Explain.

b) What is an appropriate test to use? Will you use a one-sided or two-sided test?

c) Test your hypotheses at the = 0.10 level of significance. What is your conclusion? (Hint: PHANTOMS)

d) Compute a 95% confidence interval for the difference in calories between a serving of strawberry and vanilla yogurt. (Hint: PANIC) Interpret your interval. Comment on how this result compares with the result of your hypothesis test.

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