Question

Use the following information to answer the next three exercises: A study is done to determine which of two soft drinks has more sugar. There are 13 cans of Beverage A in a sample and six cans of Beverage B. The mean amount of sugar in Beverage A is 36 grams with a standard deviation of 0.6 grams. The mean amount of sugar in Beverage B is 38 grams with a standard deviation of 0.8 grams. The researchers believe that Beverage B has more sugar than Beverage A, on average. Both populations have normal distributions.

What is the random variable?

Short answer

The random variable is the difference in sugar content between Beverage A and Beverage B, which is the average sugar content of the two soft drinks.

Step-by-step solution

Given information

A study is being conducted to see which of two soft drinks contains the most sugar. A sample contains 13 cans of Beverage A and six cans of Beverage B. Beverage A contains 36 grammes of sugar on average, with a standard variation of 0.6 grammes. Beverage B has 38 grammes of sugar on average, with a standard variation of 0.8 grammes. Beverage B, on average, has more sugar than Beverage A, according to the experts. The distributions of both populations are normal.

What is the random variable.

The difference in sugar content between the two soft drinks, Beverage A and Beverage B, is the random variable.