Problem

An airline industry trade journal reports that the average weight of a checked bag is 26.1 lbs. You are not entirely convinced. You believe that it is less than 26.1 lbs. a) If you going to test this claim, what would be your null and alternative hypotheses? \[ \begin{array}{l} H_{0}: p=v \times 26.1 \quad 0^{\circ} \\ H_{1}: p>v \times 26.1 \quad o^{\circ} \end{array} \] b) What type of hypothesis test should you conduct? left-tailed right-tailed two-tailed

Solution

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.

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