A random sample of 24 local sociology graduates scored an average of 460 on the GRE advanced sociology test, with a standard deviation of 22. We wonder if this significantly different from the...

A random sample of 24 local sociology graduates scored an average of 460 on the GRE advanced sociology test, with a standard deviation of 22. We wonder if this significantly different from the national average (µ = 445).

a) Evaluate assumptions if we can use a t-test and summarize parameters and statistics.

b) State the null hypothesis (i.e., H0) and the working hypothesis (i.e., H1). c) Establish the critical region for t-distributions at α=0.05 with a two-tailed test.

d) Compute the test statistics (i.e., tobtained) and the corresponding probability (i.e., pvalue).

e) Make a decision and interpret test results.