Q5 Homework One-Sample t-test

1. On a nationally standardized reading comprehension test, the mean was 50. A sample of 9 inmates was taken from the prison to ascertain the reading comprehension of convicted offenders. The sample mean was 45.111 with a standard deviation of 5.947. It is theorized that this sample of inmates was lower than the national population of free citizens on the dependent variable “reading comprehension.” If the inmates are significantly lower, a remedial reading program must be instituted. Is there a difference in reading comprehension between the sample of inmates and the population of citizens nationwide?

Yes

2. Is it likely you would find a mean difference of 4.889 points between the sample of inmates and national average by chance (if the null were true)?

Not Likely

3. Compute the Magnitude of Effect?

B. 43%

4. Will the remedial reading program be instituted?

B. Yes

5. At what reading level score are the inmates not significantly lower from the population?

45.42

6. On the political competency exam, the population mean is u = 71.88, s = 11.19. A sample of 151 Association of Southern Area Politicians (ASAP) produced a mean on the dependent variable “political competency” of = 75. If the ASAP mean is significantly higher than the population mean, the taxpayers will pay for a celebration banquet for their corrupt leaders (a hot-pepper Mexican feast). Is there a difference in political competency between the sample of ASAP members and the population of lying politicians nationwide?

B. Yes

7. Is it likely you would find a mean difference of 3.12 points between the sample of dishonest politicians and national average by chance (if the null were true)?

Not Likely

8. Compute the Magnitude of Effect?

9. Will the politicians be gorging their greedy fat bellies at the tax payers expense?

Yes

10. Find the minimum mean score ASAP members would have to attain in order to be considered significantly higher based on a sample size of 151?

73.665

11. On a “manipulate the public with distortions and inaccuracies” exam, a sample of 51 ASAP members (described in the last question) was a mean of 206, while the population mean is u = 194 (s = 53). If it is found that the ASAP mean is significantly higher, the politicians are proposing legislation that will fund a corporate welfare bill for their rich private-business minions by bleeding honest middle-class citizens of their tax dollars. Is there a difference in public manipulation skills between the sample of 51 ASAP members and the population of deceiving politicians nationwide?

12. Is it likely you would find a mean difference of 12 points between the sample of cheating scum politicians and national average by chance (if the null were true)?

Likely

13. Compute the Magnitude of Effect?

Will the politicians shovel their ill-gotten tax dollars to the rich ...

14. Will the politicians shovel their ill-gotten tax dollars to the rich by gouging working class families through this proposed legislation?

No, the ASAP mean is higher, but not significantly higher

15. Find the mean score ASAP members would have to exceed in order to be considered significantly higher than the population based on a sample size of 51?

208.91