Express the original claim in symbolic form. Identify the null and alternative hypotheses

Question

the mean weight of beauty pageants winners is 107 pounds. A study of 18 randomly selected beauty pageants resulted in a mean winner of 108 pounds

Answer 1

Let μ = mean weight of ALL beauty pageant winners. We want to test the null hypothesis that μ = 107. Therefore:

 

H_o: μ = 107

H_a: μ ≠ 107