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On average, Americans have lived in 4 places by the time they are 18 years old. Is this average more for college students? The 52
On average, Americans have lived in 4 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 4.38 places by the time they were 18 years old. The standard deviation for the survey group was 1. What can be concluded at the = 0.05 level of significance?
- For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
- The null and alternative hypotheses would be:
H0:H0: ? p Select an answer = < >
H1:H1: ? p Select an answer = > <
- The test statistic ? t z = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is ? >
- Based on this, we should Select an answer accept reject fail to reject the null hypothesis.
- Thus, the final conclusion is that ...
- Interpret the p-value in the context of the study.
- Interpret the level of significance in the context of the study.
Submit QuestionQuestion 25
- If the population mean number of places that college students lived in by the time they were 18 years old is 4 and if you survey another 52 college students, then there would be a 5% 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 4.
- There is a 5% chance that the population mean number of places that college students lived in by the time they were 18 years old is more than 4.
- There is a 5% chance that none of this is real since you have been hooked up to virtual reality since you were born.
- If the population mean number of places that college students lived in by the time they were 18 years old is more than 4 and if you survey another 52 college students, then there would be a 5% 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 equal to 4.
- If the population mean number of places that college students lived in by the time they were 18 years old is 4 and if you survey another 52 college students then there would be a 0.42206375% 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 4.
- There is a 0.42206375% chance of a Type I error.
- There is a 0.42206375% chance that the population mean number of places that college students lived in by the time they were 18 years old is greater than 4 .
- If the population mean number of places that college students lived in by the time they were 18 years old is 4 and if you survey another 52 college students then there would be a 0.42206375% chance that the sample mean for these 52 college students would be greater than 4.38.
- The data suggest that the populaton mean is significantly more than 4 at = 0.05, 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 4.
- The data suggest that the sample mean is not significantly more than 4 at = 0.05, 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 4.38.
- The data suggest that the population mean is not significantly more than 4 at = 0.05, 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 4.
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