The mean SAT score in mathematics is 486. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis Ho and the alternative hypothesis H₁ that they would use. Ho: O H O P S O

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The mean SAT score in mathematics is 486. The founders of a nationwide SAT preparation course claim that graduates of
the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a
hypothesis test to see if their claim has merit. State the null hypothesis Ho and the alternative hypothesis H₁ that they
would use.
Ho: 0
H₁:0
H
<Q
ロ=ロ
|x
OSO >O
X
0
Р
S
S
O<O
Transcribed Image Text:The mean SAT score in mathematics is 486. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis Ho and the alternative hypothesis H₁ that they would use. Ho: 0 H₁:0 H <Q ロ=ロ |x OSO >O X 0 Р S S O<O
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**Transcription for Educational Website**

---

The mean SAT score in mathematics is 486. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that they would use.

**Hypotheses:**
- Null Hypothesis (\( H_0 \)): \([ \quad ]\)
- Alternative Hypothesis (\( H_1 \)): \([ \quad ]\)

**Symbols for Writing Hypotheses:**
- The panel next to the hypotheses offers various statistical symbols and operators that allow users to write equations and expressions for their hypotheses.
  - Symbols include: 
    - Mean (μ)
    - Standard deviation (σ)
    - Sample mean (\( \bar{x} \))
    - Proportion (\( \hat{p} \))
  - Operators include:
    - Equals (=)
    - Not equals (≠)
    - Less than (<)
    - Greater than (>)
    - Less than or equal to (≤)
    - Greater than or equal to (≥)

Users should choose the appropriate symbols to fill in the hypotheses based on the claim being tested. The objective is to determine if the preparation course indeed helps students achieve higher scores than the national mean of 486.
Transcribed Image Text:**Transcription for Educational Website** --- The mean SAT score in mathematics is 486. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that they would use. **Hypotheses:** - Null Hypothesis (\( H_0 \)): \([ \quad ]\) - Alternative Hypothesis (\( H_1 \)): \([ \quad ]\) **Symbols for Writing Hypotheses:** - The panel next to the hypotheses offers various statistical symbols and operators that allow users to write equations and expressions for their hypotheses. - Symbols include: - Mean (μ) - Standard deviation (σ) - Sample mean (\( \bar{x} \)) - Proportion (\( \hat{p} \)) - Operators include: - Equals (=) - Not equals (≠) - Less than (<) - Greater than (>) - Less than or equal to (≤) - Greater than or equal to (≥) Users should choose the appropriate symbols to fill in the hypotheses based on the claim being tested. The objective is to determine if the preparation course indeed helps students achieve higher scores than the national mean of 486.
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