A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 524. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 529 with a standard deviation of 118. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Ho: ,H:

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**Text Transcription for Educational Website:**

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A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with a mean (μ) of 524. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 529 with a standard deviation of 118. Complete parts (a) through (d) below.

(a) State the null and alternative hypotheses.

H₀: [dropdown menu] [μ] [dropdown menu] [value]
H₁: [dropdown menu] [μ] [dropdown menu] [value]

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**Explanation:**

This portion describes a hypothesis test scenario where a teacher tests whether her review course effectively increases student exam scores. 

- **H₀ (Null Hypothesis):** Typically states there is no effect or no difference. In this context, it might propose that the course does not increase the mean score above 524.
  
- **H₁ (Alternative Hypothesis):** Suggests that there is an effect or a difference. Here, it would propose that the course increases the mean score above 524.

The dropdown menus allow students to form the correct mathematical expressions for these hypotheses based on the context provided.
Transcribed Image Text:**Text Transcription for Educational Website:** --- A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with a mean (μ) of 524. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 529 with a standard deviation of 118. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. H₀: [dropdown menu] [μ] [dropdown menu] [value] H₁: [dropdown menu] [μ] [dropdown menu] [value] --- **Explanation:** This portion describes a hypothesis test scenario where a teacher tests whether her review course effectively increases student exam scores. - **H₀ (Null Hypothesis):** Typically states there is no effect or no difference. In this context, it might propose that the course does not increase the mean score above 524. - **H₁ (Alternative Hypothesis):** Suggests that there is an effect or a difference. Here, it would propose that the course increases the mean score above 524. The dropdown menus allow students to form the correct mathematical expressions for these hypotheses based on the context provided.
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