Problem
Big fish: A sample of 400 flounder of a certain species have sample mean weight 33.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight is greater than 32 grams. State the appropriate null and alternate hypotheses. The null hypothesis is $H_{0}: \mu$ (Choose one) $\mathbf{v} \square$. The alternate hypothesis is $H_{1}: \mu$ (Choose one) $\mathbf{V} \square$.
Solution
Step 1 ：The null hypothesis is a statement of no effect or no difference. In this case, it would be that the mean weight of the flounder is equal to 32 grams.
Step 2 ：The alternate hypothesis is what we are testing for. In this case, it would be that the mean weight of the flounder is greater than 32 grams.
Step 3 ：Final Answer: The null hypothesis is \(H_{0}: \mu = 32\). The alternate hypothesis is \(H_{1}: \mu > 32\).
