Question

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Two methods were used to teach a high school alge was selected for method 1, and a sample of 35 scores was results are: nool algebra course. A sample of 32 scores S scores was selected for method 2. The Method 1 Sample mean: 87.2 Sample sd: 2.1 Method 2 84.6 3.1 Test whether method 1 was more successful than method 2 at the 1% level. Part a: State your null and alternative hypotheses. Part b: Sketch the rejection region. Part e: Calculate the test statistic. Plot this value in your sketch in part b. Part d: Determine the P-value for your test. Part e: State your conclusions clearly in complete sentences.

Answer 1

a> | Hypothesis in Ho:- Minda vis Hi-117 42 pyetion ex Rgestion_Region in to, 192-2.A EGG235-2,0.01) LE 4652001) 22:3851 -Region O 0122 2.385 Test otaligtic t = xi-xi we have X = 872 - X2 = 8416 n=22, 61 =21 02= 35, 52 = 311_ nisi2+0 2 522 niin 32 X(872)2 + 35 x (846)2 g2+35 .s= 77370.4999 15=85.85161 t = 37.2 - 846 85.8516 XII 2:6 85 8516 x 0.059 85:8516* Tattoo Smoothie TE= 0.1238 = 2:6 20.9979 E-01234

a p-value = pity 0.1238) = 0.450g obtain from t-table ey From P. value Henie we that Bothe 1 There is no method I. which is greaps than alpha a crept Ho of 1)- Los & conclude method are equally gurlessful i.e. @gnificant difference is method I &