As a bonus assignment a former student checked if your professor gave a statistically significant difference in grades between his male and female students. She based her study based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317) and her sample included nm = 485 male students and nf = 264 female students. The average grades received were ?̅ = 84.6 and ?̅ = 85.8. The population standard ?? deviation were σ m = 12.0 and σ f = 11.4. Test the hypothesis that the two groups received different grades using a 95% confidence level and using the critical value approach

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As a bonus assignment a former student checked if your professor gave a statistically

significant difference in grades between his male and female students. She based her

study based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)

and her sample included nm = 485 male students and nf = 264 female students. The

average grades received were ?̅ = 84.6 and ?̅ = 85.8. The population standard ??

deviation were σ m = 12.0 and σ f = 11.4. Test the hypothesis that the two groups received different grades using a 95% confidence level and using the critical value approach

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Let μm be the population mean grades for male students, μf be the population mean grades for female students. The given sample size for males are 485, sample mean is 84.6, and population standard deviation is 12.0. The given sample size for females are 264, sample mean is 85.8, and population standard deviation is 11.4. The claim is that the two groups received different grades.

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