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d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v f. Based on this, we should Select an answer v g. 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 number 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 mo

d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v f. Based on this, we should Select an answer v g. 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 number 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 mo

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please solve for parts D, E, and F.

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: \( H_0: \) [Select an answer] \( H_1: \) [Select an answer] c. The test statistic \( ? = \) [_________] (please show your answer to 3 decimal places).
Transcribed Image Text: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: \( H_0: \) [Select an answer] \( H_1: \) [Select an answer] c. The test statistic \( ? = \) [_________] (please show your answer to 3 decimal places).
### Transcription of Educational Text #### Statistical Analysis - Interpreting the p-value **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] **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
Transcribed Image Text:### Transcription of Educational Text #### Statistical Analysis - Interpreting the p-value **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] **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
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