A sample of 60 people tastes a cup of coffee and rates the flavor in a scale from 1 to 100, with 100 being the best. We want to test to see if this coffee seems to be different from existing brand, which has an expected flavor score of 48. We observe a sample average of 51.3. The previous study on the existing brand found that a standard deviation of 8.11, which we can treat as the population parameter value.

Define the null and alternative hypotheses.