This analysis is looking at the difference in math scores in the sample versus the population....
This analysis is looking at the difference in math scores in the sample versus the population. This data comes
from publicly-available data on a sample of high school students in NY. Use the output tables included below
to answer the following questions:
a. What is the population mean in this analysis?
b. Describe the sample (using n, M, & SD).
c. Was the difference between the sample and population significantly different?
d. In your own words, describe the relationship between the sample and population.
N= 200 Mean= 52.4400 Standard Deviation= 9.52207 Std. Error Mean= .67331
t= -11.228 df=199 Sig. (2-tailed) =.000 Mean Diff. = -7.5600
95% Confidence Interval of the Difference: Lower= -8.8877 Upper= -6.2323
Homework Answers
(a) The population mean is 52.44 + 7.56 = 60.
(b) M = 52.44
SD = 9.52207
n = 200
(c) The p-value is 0.000.
Since the p-value (0.000) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that the difference between the sample and population is significantly different.
(d) The sample is derived from the population and the difference between the sample and population is significantly different.
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