Questions: Big fish: A sample of 300 flounder of a certain species have sample mean weight 24.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight differs from 23 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 300 flounder of a certain species have sample mean weight 24.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight differs from 23 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 300 flounder of a certain species have sample mean weight 24.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight differs from 23 grams. State the appropriate null and alternate hypotheses. The null hypothesis is $H_{0}: \mu$ $\square$ (Choose one) $\square$ . The alternate hypothesis is $H_{1}: \mu$ $\square$ (Choose one) $\square$ .
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Solution

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Solution Steps

Step 1: Define the Null Hypothesis

The null hypothesis (\(H_0\)) is a statement that there is no effect or no difference, and it is the hypothesis that researchers typically try to disprove. In this case, the null hypothesis is that the mean weight of the flounder is equal to 23 grams.

Step 2: Define the Alternate Hypothesis

The alternate hypothesis (\(H_1\)) is a statement that indicates the presence of an effect or a difference. Here, the alternate hypothesis is that the mean weight of the flounder is different from 23 grams.

Step 3: Formulate the Hypotheses

Based on the definitions, we can formulate the hypotheses as follows:

  • Null Hypothesis (\(H_0\)): \(\mu = 23\)
  • Alternate Hypothesis (\(H_1\)): \(\mu \neq 23\)

Final Answer

The null hypothesis is \(H_{0}: \mu = 23\).

The alternate hypothesis is \(H_{1}: \mu \neq 23\).

\[ \boxed{H_{0}: \mu = 23} \]

\[ \boxed{H_{1}: \mu \neq 23} \]

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