Dr. Christina Cuttleman, a nutritionist, claims that the averagenumber of calori

Question

Dr. Christina Cuttleman, a nutritionist, claims that the averagenumber of calories in a serving of popcorn is 75 with a standarddeviation of 7. A sample of 50 servings of popcorn was foundto have an average of 78 calories.

a.      Should z test or t test be used?

b.     Check Dr. Cuttleman's claim at = 0.05.

Dr. Christina Cuttleman, a nutritionist, claims that the averagenumber of calories in a serving of popcorn is 75 with a standarddeviation of 7. A sample of 50 servings of popcorn was foundto have an average of 78 calories.

a.      Should z test or t test be used?

b.     Check Dr. Cuttleman's claim at = 0.05.

Explanation / Answer

Should use z test as the population is large. H0: = 75 H1: 75 Z = (78 - 75) * 50 / 7    = 3.030 = 0.05 Z/2 = 1.96 Z > 1.96 ( Z = 3.03 falls inside the rejection region) Decision: Reject H0 Conclusion: There are enough statistical evidence to show thataverage number of calories is not 75.

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