On average, Americans have lived in 3 places by the time they are 18 years old. Is this average more for college students? The 53 randomly selected college students who answered the survey question had lived in an average of 3.25 places by the time they were 18 years old. The standard deviation for the survey group was 0.7. What can be concluded at the αα = 0.10 level of significance?

For this study, we should use (t-test for a population mean, z-test for a population proportion)

The null and alternative hypotheses would be:

H0: (symbol) (symbol) ___

H1: (symbol) (symbol) ___

The test statistic (?,z,t) =  (please show your answer to 3 decimal places.)

The p-value =  (Please show your answer to 4 decimal places.)

The p-value is (symbol) αα

Based on this, we should (accept, reject, fail to reject) the null hypothesis.

Thus, the final conclusion is that ...

The data suggest that the population mean is not significantly more than 3 at αα = 0.10, 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 3.

The data suggest that the populaton mean is significantly more than 3 at αα = 0.10, 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 3.

The data suggest that the sample mean is not significantly more than 3 at αα = 0.10, 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 3.25.

Interpret the p-value in the context of the study.

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 53 college students then there would be a 0.60529069% 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 3.

There is a 0.60529069% chance of a Type I error.

There is a 0.60529069% chance that the population mean number of places that college students lived in by the time they were 18 years old is greater than 3 .

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 53 college students then there would be a 0.60529069% chance that the sample mean for these 53 college students would be greater than 3.25.

Interpret the level of significance in the context of the study.

If the population mean number of places that college students lived in by the time they were 18 years old is more than 3 and if you survey another 53 college students, then there would be a 10% 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.

There is a 10% 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 3 and if you survey another 53 college students, then there would be a 10% 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 3.

There is a 10% chance that the population mean number of places that college students lived in by the time they were 18 years old is more than 3.

Name: On average, Americans have lived in 3 places by the time they are 18 y
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: On average, Americans have lived in 3 places by the time they are 18 years old. Is this average more for college students? The 53 randomly selected college students who answered the survey question had lived in an average of 3.25 places by the time t

Question

On average, Americans have lived in 3 places by the time they are 18 years old. Is this average more for college students? The 53 randomly selected college students who answered the survey question had lived in an average of 3.25 places by the time they were 18 years old. The standard deviation for the survey group was 0.7. What can be concluded at the αα = 0.10 level of significance?

For this study, we should use (t-test for a population mean, z-test for a population proportion)
The null and alternative hypotheses would be:

H0: (symbol) (symbol) ___

H1: (symbol) (symbol) ___

The test statistic (?,z,t) = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is (symbol) αα
Based on this, we should (accept, reject, fail to reject) the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest that the population mean is not significantly more than 3 at αα = 0.10, 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 3.
- The data suggest that the populaton mean is significantly more than 3 at αα = 0.10, 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 3.
- The data suggest that the sample mean is not significantly more than 3 at αα = 0.10, 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 3.25.
Interpret the p-value in the context of the study.
- 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 53 college students then there would be a 0.60529069% 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 3.
- There is a 0.60529069% chance of a Type I error.
- There is a 0.60529069% chance that the population mean number of places that college students lived in by the time they were 18 years old is greater than 3 .
- 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 53 college students then there would be a 0.60529069% chance that the sample mean for these 53 college students would be greater than 3.25.
Interpret the level of significance in the context of the study.
- If the population mean number of places that college students lived in by the time they were 18 years old is more than 3 and if you survey another 53 college students, then there would be a 10% 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.
- There is a 10% 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 3 and if you survey another 53 college students, then there would be a 10% 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 3.
- There is a 10% chance that the population mean number of places that college students lived in by the time they were 18 years old is more than 3.

Accepted Answer

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