On average, Americans have lived in 2 places by the time they are 18 years old. Is this average more for college students? The 69 randomly selected college students who answered the survey question had lived in an average of 2.11 places by the time they were 18 years old. The standard deviation for the survey group was 0.3. What can be concluded at the αα = 0.10 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: ? μ p Select an answer > = ≠ < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
On average, Americans have lived in 2 places by the time they are 18 years old. Is this average more for college students? The 69 randomly selected college students who answered the survey question had lived in an average of 2.11 places by the time they were 18 years old. The standard deviation for the survey group was 0.3. What can be concluded at the αα = 0.10 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: ? μ p Select an answer > = ≠ < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
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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On average, Americans have lived in 2 places by the time they are 18 years old. Is this average more for college students? The 69 randomly selected college students who answered the survey question had lived in an average of 2.11 places by the time they were 18 years old. The standard deviation for the survey group was 0.3. What can be concluded at the αα = 0.10 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: ? μ p Select an answer > = ≠ <
H1:H1: ? p μ Select an answer = > < ≠
- 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 ? ≤ > αα
- Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest that the sample mean is not significantly more than 2 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 2.11.
- The data suggest that the populaton mean is significantly more than 2 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 2.
- The data suggest that the population mean is not significantly more than 2 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 2.
- Interpret the p-value in the context of the study.
- There is a 0.16505362% chance of a Type I error.
- 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 69 college students then there would be a 0.16505362% 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.
- 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 69 college students then there would be a 0.16505362% chance that the sample mean for these 69 college students would be greater than 2.11.
- There is a 0.16505362% 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 .
- Interpret the level of significance in the context of the study.
- 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 2.
- 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 69 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 2.
- If the population mean number of places that college students lived in by the time they were 18 years old is more than 2 and if you survey another 69 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 2.
- There is a 10% chance that none of this is real since you have been hooked up to virtual reality since you were born.
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