A researcher would like to determine the average score on achievement tests among high school seniors attending Boulder High. A sample of n=100 students is selected and each student takes the test. The average score of the sample is 44 with an estimated standard deviation of 12 (this was estimated from the sample). Test the null hypothesis that the population mean of Boulder High students is actually 40. Note that the t-critical value for this degree of freedom is +/- 1.98 (for an alpha-level of .05).
There is sufficient evidence to conclude that population mean score of the students differs significantly from 40.
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