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Include null and alternate hypothesis, a p-value, and a conclusion PRIVATE about the null hypothesis A...

Include null and alternate hypothesis, a p-value, and a conclusion PRIVATE about the null hypothesis

A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states. A sample of 10 teachers from the Indiana had a mean salary of $28,900 with a standard deviation of $2300. A sample of 14 teachers from Michigan had a mean salary of $30,300 with a standard deviation of $2100. Determine a 95% confidence interval for the difference between the mean salary in Indiana and Michigan.(Assume population variances are different.)

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PgNo Answer:- Given data, mizlo = $28900 20 = $ 3€ 300 na -14 51 = $2300 92= $ 2100 Assume that variances are different, we wPg No@ 0,- ) q 13 712336000000 38726136 752.13675 df = 18.8941 Idf ~ 18 | P-value: P-value = 0.1456 Decision : if p-value > QpqNo 3 95% confidence Interval for Mi and Ma is . P(14 > tale) = 0,95 Plotala <t < talla) = 0.95 Pl-10.025,18 <601-327) -(4-4

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