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In: Statistics and Probability

1. Coffee. A student wanted to determine if there is a difference in the number of...

1. Coffee. A student wanted to determine if there is a difference in the number of calories between comparable coffee drinks at Starbucks and Seattle's Best Coffee (SBC), two major coffee retailers. She found caloric information about 10 different drinks and created the table shown below:

Drink Starkbucks SBC
Cappucino 120 130
Latte 190 160
Vanilla Latte 250 240
Iced Latte 130 140
Mocha 260 390
White Chocolate Mocha 400 310
Peppermint Mocha 330 410
Iced Mocha 200 240
Hot Chocolate 300 320
Chai Tea Latte 240

230

Conduct an appropriate hypothesis test to investigate whether, on average, there is a difference in calories between comparable drinks at Starbucks and SBC. Be sure to state hypothesis using proper notation, check conditions, compute a P-value, and state a conclusion.

2. Another Cup. Construct a 90% confidence interval for the mean difference in number of calories between comparable beverages at Starbucks and SBC. Be sure to check conditions, express the interval using proper notation, and include a sentence explaining the meaning of the interval.

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