The p-value = (Please show your answer to 4 decimal places.) The p-value is ? v Based on this, we should Select an answer Thus, the final conclusion is that ... the null hypothesis. O The data suggest that the population mean is not significantly more than 2 at a= 0.01, so there is statistically insignificant evidence to conclude that the population mean nurmber of places that college students lived in by the time they were 18 years old is more than 2. O The data suggest that the sample mean is not significantly more than 2 at a = 0.01, so there is statistically insignificant evidence to conclude that the sample mean number of places that college students lived in by the time they were 18 years old is more than 2.13. %3D O The data suggest that the populaton mean is significantly more than 2 at a = 0.01, so there is statistically significant evidence to conclude that the population mean number of places that college students lived in by the time they were 18 years old is more than 2. Interpret the p-value in the context of the study. O If the population mean number of places that college students lived in by the time they were 18 years old is 2 and if you survey another 52 college students then there would be a 6.21885127% chance that the population mean number of places that these college students lived in by the time they were 18 years old would be greater than 2. O There is a 6.21885127% chance of a Type l error. O There is a 6.21885127% chance that the population mean number of places that college students lived in by the time they were 18 years old is greater than 2. O If the population mean number of places that college students lived in by the time they were 18 years old is 2 and if you survey another 52 college students then there would be a 6.21885127% chance that the sample mean for these 52 college students would be greater than 2.13. Interpret the level of significance in the context of the study. O If the population mean number of places that college students lived in by the time they were 18 years old is 2 and if you survey another 52 college students, then there would be a 1% chance that we would end up falsely concluding that the population mean number of places that college students lived in by the time they were 18 years old is more than 2.

MATLAB: An Introduction with Applications
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Please solve for parts G, H, and I.

### Statistical Hypothesis Testing

**d. The p-value:**
   - (Please show your answer to 4 decimal places.)

**e. The p-value is:** 
   - \(\ ? \) \(\ \leq \ \) \(\alpha\)

**f. Based on this, we should:** 
   - [Select an answer] the null hypothesis.

**g. Thus, the final conclusion is that:**

  - **Option 1:** The data suggest that the population mean is not significantly more than 2 at \(\alpha = 0.01\), so there is statistically insignificant evidence to conclude that the population mean number of places that college students lived in by the time they were 18 years old is more than 2.

  - **Option 2:** The data suggest that the sample mean is not significantly more than 2 at \(\alpha = 0.01\), so there is statistically insignificant evidence to conclude that the sample mean number of places that college students lived in by the time they were 18 years old is more than 2.13.

  - **Option 3:** The data suggest that the population mean is significantly more than 2 at \(\alpha = 0.01\), so there is statistically significant evidence to conclude that the population mean number of places that college students lived in by the time they were 18 years old is more than 2.

**h. Interpret the p-value in the context of the study:**

  - **Option 1:** If the population mean number of places that college students lived in by the time they were 18 years old is 2 and if you survey another 52 college students, then there would be a 6.21885127% chance that the population mean number of places that these college students lived in by the time they were 18 years old would be greater than 2.

  - **Option 2:** There is a 6.21885127% chance of a Type I error.

  - **Option 3:** There is a 6.21885127% chance that the population mean number of places that college students lived in by the time they were 18 years old is greater than 2.

  - **Option 4:** If the population mean number of places that college students lived in by the time they were 18 years old is 2 and if you survey another 52 college students,
Transcribed Image Text:### Statistical Hypothesis Testing **d. The p-value:** - (Please show your answer to 4 decimal places.) **e. The p-value is:** - \(\ ? \) \(\ \leq \ \) \(\alpha\) **f. Based on this, we should:** - [Select an answer] the null hypothesis. **g. Thus, the final conclusion is that:** - **Option 1:** The data suggest that the population mean is not significantly more than 2 at \(\alpha = 0.01\), so there is statistically insignificant evidence to conclude that the population mean number of places that college students lived in by the time they were 18 years old is more than 2. - **Option 2:** The data suggest that the sample mean is not significantly more than 2 at \(\alpha = 0.01\), so there is statistically insignificant evidence to conclude that the sample mean number of places that college students lived in by the time they were 18 years old is more than 2.13. - **Option 3:** The data suggest that the population mean is significantly more than 2 at \(\alpha = 0.01\), so there is statistically significant evidence to conclude that the population mean number of places that college students lived in by the time they were 18 years old is more than 2. **h. Interpret the p-value in the context of the study:** - **Option 1:** If the population mean number of places that college students lived in by the time they were 18 years old is 2 and if you survey another 52 college students, then there would be a 6.21885127% chance that the population mean number of places that these college students lived in by the time they were 18 years old would be greater than 2. - **Option 2:** There is a 6.21885127% chance of a Type I error. - **Option 3:** There is a 6.21885127% chance that the population mean number of places that college students lived in by the time they were 18 years old is greater than 2. - **Option 4:** If the population mean number of places that college students lived in by the time they were 18 years old is 2 and if you survey another 52 college students,
**Research Question: Analyzing Average Places Lived by Age 18 for College Students**

On average, Americans have lived in 2 places by the time they are 18 years old. Is this average more for college students? The 52 randomly selected college students who answered the survey question had lived in an average of 2.13 places by the time they were 18 years old. The standard deviation for the survey group was 0.6. What can be concluded at the α = 0.01 level of significance?

a. **For this study, we should use**: [Select an answer]

b. **The null and alternative hypotheses would be:**

- \( H_0 \) (Null Hypothesis): [Select an answer]
- \( H_1 \) (Alternative Hypothesis): [Select an answer]

c. **The test statistic** \( ? \) = [_________] (please show your answer to 3 decimal places.)
Transcribed Image Text:**Research Question: Analyzing Average Places Lived by Age 18 for College Students** On average, Americans have lived in 2 places by the time they are 18 years old. Is this average more for college students? The 52 randomly selected college students who answered the survey question had lived in an average of 2.13 places by the time they were 18 years old. The standard deviation for the survey group was 0.6. What can be concluded at the α = 0.01 level of significance? a. **For this study, we should use**: [Select an answer] b. **The null and alternative hypotheses would be:** - \( H_0 \) (Null Hypothesis): [Select an answer] - \( H_1 \) (Alternative Hypothesis): [Select an answer] c. **The test statistic** \( ? \) = [_________] (please show your answer to 3 decimal places.)
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