In: Statistics and Probability
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.