Question;Week 2Testing means with the t-test For questions 2 and 3 below, be sure to list the null and alternate hypothesis statements. Use.05 for your significance level in making your decisions.For full credit, you need to also show the statistical outcomes - either the Excel test result or the calculations you performed.1Below are 2 one-sample t-tests comparing male and female average salaries to the overall sample mean.Based on our sample, how do you interpret the results and what do these results suggest about the population means for male and female salaries?MalesFemalesHo: Mean salary = 45Ho: Mean salary = 45Ha: Mean salary =/= 45Ha: Mean salary =/= 45Note when performing a one sample test with ANOVA, the second variable (Ho) is listed as the same value for every corresponding value in the data set.t-Test: Two-Sample Assuming Unequal Variancest-Test: Two-Sample Assuming Unequal VariancesSince the Ho variable has Var = 0, variances are unequal, this test defaults to 1 sample t in this situationMaleHoFemaleHoMean5245Mean3845Variance3160Variance334.666670Observations2525Observations2525Hypothesized Mean Difference0Hypothesized Mean Difference 0df24df24t Stat1.9689038266t Stat-1.913206P(T<=t) one-tail0.0303078503P(T<=t) one-tail0.0338621t Critical one-tail1.7108820799t Critical one-tail1.7108821P(T<=t) two-tail0.0606157006P(T<=t) two-tail0.0677242t Critical two-tail2.0638985616t Critical two-tail2.0638986Conclusion: Do not reject HoConclusion: Do not reject HoInterpretation: (include comments on why the conclusion was made, what the conclusion means about pay levels in English, what the conclusions mean for our question about equal pay.)2Based on our sample results, perform a 2-sample t-test to see if the population male and female salaries could be equal to each other.Include hypothesis pair of claims, and intepretation of result3Based on our sample results, can the male and female compas in the population be equal to each other? (Another 2-sample t-test.)Include hypothesis pair of claims, and intepretation of result4What other information about our variables would you like to know to answer the question about salary equality between the genders? Why - how do these variables influce pay?5If the salary and compa mean tests in questions 3 and 4 provide different results about male and female salary equality,which would be more appropriate to use in answering the question about salary equity? Why?What are your conclusions about the tests performed to determine if equal pay exists between the genders at this point?
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