Questions: Big fish: A sample of 100 flounder of a certain species have sample mean weight 47.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight is greater than 46 grams. State the appropriate null and alternate hypotheses. The null hypothesis is H₀: μ (Choose one). The alternate hypothesis is H₁: μ (Choose one).

Big fish: A sample of 100 flounder of a certain species have sample mean weight 47.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight is greater than 46 grams. State the appropriate null and alternate hypotheses.

The null hypothesis is H₀: μ (Choose one).
The alternate hypothesis is H₁: μ (Choose one).

Transcript text: Big fish: A sample of 100 flounder of a certain species have sample mean weight 47.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight is greater than 46 grams. State the appropriate null and alternate hypotheses. The null hypothesis is $H_{0}: \mu$ (Choose one) $\nabla$. The alternate hypothesis is $H_{1}: \mu$ (Choose one) $\nabla . \square$.

Solution

Solution Steps

Step 1: Define the Null and Alternate Hypotheses

In hypothesis testing, we start by defining our null and alternate hypotheses. The null hypothesis ($H_0$) represents a statement of no effect or no difference, while the alternate hypothesis ($H_1$) represents the statement we are trying to find evidence for.

For this problem, we have:

Null Hypothesis: \[ H_0: \mu = 46 \]
Alternate Hypothesis: \[ H_1: \mu > 46 \]

Step 2: Interpret the Hypotheses

The null hypothesis states that the mean weight of the flounder population is equal to 46 grams. The alternate hypothesis suggests that the mean weight is greater than 46 grams, which is what the scientists are trying to test.