Step 1 :Define the null and alternative hypotheses. The null hypothesis is the statement that the average weight of a checked bag is 26.1 lbs. The alternative hypothesis is the statement that the average weight of a checked bag is less than 26.1 lbs. So, the null hypothesis is \(H_{0}: \mu = 26.1\) and the alternative hypothesis is \(H_{1}: \mu < 26.1\).
Step 2 :Determine the type of hypothesis test to conduct. Since we are testing if the average weight is less than a certain value, we should conduct a left-tailed hypothesis test. So, the type of hypothesis test to conduct is a left-tailed test.