Maine Coons are the largest breed of domestic cat, with a mean weight of 18 lbs. for an adult male of this breed. One veterinarian suspects that a popular brand of cat food is more fattening than normal, and wants to be able to discourage owners of her patients from using that brand. She collected the following weights of 10 healthy adult male

Maine coon cats that eat this brand of cat food:

17, 23, 15, 21, 28, 26, 18, 22, 24,18

Over the next several questions, conduct a hypothesis test to see if the data support the veterinarian's suspicion. The standard deviation is 4.2. (Hint use the s.d. to calculate the s.e.)

State just the null and alternative hypotheses

Calculate test statistic

Calculate critical value

State conclusion