For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.
An amusement park claims that the mean daily attendence at the park is 21,000 people.
Answer
Final Answer: The claim as a mathematical statement is \(\boxed{μ = 21,000}\). The null hypothesis is \(\boxed{H0: μ = 21,000}\) and the alternative hypothesis is \(\boxed{Ha: μ ≠ 21,000}\). The claim is represented by the \(\boxed{null hypothesis}\).
Step 1 ：Translate the claim into a mathematical statement: μ = 21,000, where μ represents the mean daily attendance.
Step 2 ：Formulate the null hypothesis (H0), which is a statement of no effect or no difference. In this case, it would be that the mean daily attendance is 21,000 people, i.e., H0: μ = 21,000.
Step 3 ：Formulate the alternative hypothesis (Ha), which is what we might believe if the null hypothesis is proven to be unlikely. It could be that the mean daily attendance is not 21,000 people, i.e., Ha: μ ≠ 21,000.
Step 4 ：Identify which hypothesis represents the claim. In this case, the claim is represented by the null hypothesis.
Step 5 ：Final Answer: The claim as a mathematical statement is \(\boxed{μ = 21,000}\). The null hypothesis is \(\boxed{H0: μ = 21,000}\) and the alternative hypothesis is \(\boxed{Ha: μ ≠ 21,000}\). The claim is represented by the \(\boxed{null hypothesis}\).
