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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

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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.

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