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On average, Americans have lived in 3 places by the time they are 18 years old. Is this average less for college students? The 62

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On average, Americans have lived in 3 places by the time they are 18 years old. Is this average less for college students? The 62 randomly selected college students who answered the survey question had lived in an average of 2.85 places by the time they were 18 years old. The standard deviation for the survey group was 0.6. IWhat can be concluded at the a: = 0.01 level of signicance? .. For this stud, we should u_ b. The null and alternative hypotheses would be: Ho: IC] HI: IC] c. The test statistic = C] [please show your answer to 3 decimal places.) d. The p-value = |:] (Please show your answer to 4 decimal places.) e. The pvalue is D: f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest that the population mean is not signicantly less than 3 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 less than 3. O The data suggest that the sample mean is not significantly less than 3 at o: = D.l}1, 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 less than 2.85. O The data suggest that the populaton mean is signicantly less than 3 at [I = 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 less than 3. h. Interpret the p-value in the context of the study. 0 There is a 2.6??954696 chance that the population mean number of places that college students lived in by the time they were 18 years old is less than 3. Q If the population mean number of places that college students lived in by the time they were 18 years old is 3 and if you survey another 62 college students, then there would be a 2.6T?954696 chance that the population mean number of places that college students lived in by the time they were 18 years old would be less than 3. Q There is a 2.6??954696 chance of a Type I error. 0 If the population mean number of places that college students lived in by the time they were 18 years old is 3 and if you survey another 62 college students, then there would be a 2.6T?954696 chance that the sample mean for these 62 college students would be less than 2.85. i. Interpret the level of significance in the context of the study. O There is a 1% chance that the population mean number of places that college students lived in by the time they were 18 years old is less than 3. If the population mean number of places that college students lived in by the time they were 18 years old is less than 3 and if you survey another 62 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 equal to 3. OIf the population mean number of places that college students lived in by the time they were 18 years old is 3 and if you survey another 62 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 less than 3. There is a 1% chance that none of this is real since you have been hooked up to virtual reality since you were born

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