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.

Is this a one-tailed or two-tailed test?

Short answer

The alternative hypothesis indicates that both beverages contain more sugar, making this a one-tailed test.

Step-by-step solution

Given information

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 deviation 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.

Is this a one-tailed or two-tailed test?

The test is one-tailed because the alternate hypothesis signifies that there is more sugar level in Beverage B than Beverage A.