1. **State the problem for the first scenario:**
A fast-food chain claims the average service time is 3 minutes. You suspect it is not true (it seems longer).
2. **Formulate hypotheses:**
- Null hypothesis $H_0$: The average service time is 3 minutes, i.e., $\mu = 3$.
- Alternative hypothesis $H_a$: The average service time is not 3 minutes, i.e., $\mu \neq 3$.
3. **State the problem for the second scenario:**
An airline claims the average delay is less than 10 minutes. You suspect delays are longer.
4. **Formulate hypotheses:**
- Null hypothesis $H_0$: The average delay is less than or equal to 10 minutes, i.e., $\mu \leq 10$.
- Alternative hypothesis $H_a$: The average delay is greater than 10 minutes, i.e., $\mu > 10$.
5. **Draw conclusions based on claim and decision:**
- For the first problem, if the test rejects $H_0$, conclude the average service time is not 3 minutes (claim is false). If fail to reject, claim stands.
- For the second problem, if the test rejects $H_0$, conclude the average delay is significantly longer than 10 minutes (claim is false). If fail to reject, claim stands.
**Summary:**
- Problem 1 hypotheses: $H_0: \mu=3$, $H_a: \mu \neq 3$.
- Problem 2 hypotheses: $H_0: \mu \leq 10$, $H_a: \mu > 10$.
- Conclusions depend on test results: reject or fail to reject $H_0$.
No numerical data or test statistics were provided, so no further calculations can be done.
Hypothesis Testing Fbce80
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