7. The average salary of North Carolina is reported to be $50,781. After completing a survey of 120 North Carolinians, you find that the sample shows a mean of $51,203 with a standard deviation of $2,409. With a significance level of 0.01, conduct a hypothesis test to test the claim that the average salary of all North Carolinians is greater than $50,781. (Be sure to show all steps of the hypothesis test)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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I need help answering number 7
**Educational Content Transcription**

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**B. Discussion Question:**
Do you think Holocaust education should be required in North Carolina middle and high schools? Why or why not?

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**7. Hypothesis Testing Problem:**
The average salary of North Carolina is reported to be $50,781. After completing a survey of 120 North Carolinians, you find that the sample shows a mean of $51,203 with a standard deviation of $2,409. With a significance level of 0.01, conduct a hypothesis test to test the claim that the average salary of all North Carolinians is greater than $50,781. (Be sure to show all steps of the hypothesis test.)

---

**8. Experiment on Time Spent Playing Sports:**
The average amount of time boys and girls ages 7 through 11 spend playing sports each day is believed to be the same. An experiment is done, data is collected, resulting in the data below:

**Table/Graph:**
- **Sample size**: Average Number of Hours Playing Sports Per Day

(Note: This table or graph section refers to a dataset that is not fully visible in the image.)

---
Transcribed Image Text:**Educational Content Transcription** --- **B. Discussion Question:** Do you think Holocaust education should be required in North Carolina middle and high schools? Why or why not? --- **7. Hypothesis Testing Problem:** The average salary of North Carolina is reported to be $50,781. After completing a survey of 120 North Carolinians, you find that the sample shows a mean of $51,203 with a standard deviation of $2,409. With a significance level of 0.01, conduct a hypothesis test to test the claim that the average salary of all North Carolinians is greater than $50,781. (Be sure to show all steps of the hypothesis test.) --- **8. Experiment on Time Spent Playing Sports:** The average amount of time boys and girls ages 7 through 11 spend playing sports each day is believed to be the same. An experiment is done, data is collected, resulting in the data below: **Table/Graph:** - **Sample size**: Average Number of Hours Playing Sports Per Day (Note: This table or graph section refers to a dataset that is not fully visible in the image.) ---
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