Given information
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 cans of Beverage A in a sample and six cans of Beverage B. The mean amount of sugar in Beverage A is grams with a standard deviation of grams. The mean amount of sugar in Beverage B is grams with a standard deviation of grams. The researchers believe that Beverage B has more sugar than Beverage A, on average both populations have normal distributions.
Step-by-step explanation
The random variable is the difference in sugar content between Beverage A and Beverage B, which is the average sugar content of the soft drinks.
Therefore,
If The mean amount of sugar in Beverage A and
The mean amount of sugar in Beverage B.
Then,
The random variable is,
.