Rouguiatou Diallo - Example 6 - Section 8

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Name of Test: Independent 2 samples T-test Are your conditions met? YES - are unknown σ1 𝑎?𝑑 σ2 - Indenpent and Random Samples - Populations are normally distributed - Population variances are not Equal => Pooled = NO State the claim Ho HA Claim: There is s difference in the mean mathematics test scores for the students of the two teachers. [Ha] Ho : Ha : µ1 = µ2 µ1 ≠ µ2 [ 𝐶?𝑎𝑖?] Level of significance Df α = 0. 10 Smaller [ n1 - 1 ; n2 - 1] df = n1 -1 = 8 - 1 = 7
T_stat + P-value . T_stat =0.922 P_value = 0.379 Identify the Critical values + Rejection Regions 2 tailed test α/2 = 0. 05 Rejection Region Method T_c= invT(0.05, 7) = (-1.895, +1.895) [1pt] http://www.imathas.com/ stattools/norm.html Make a decision Fail to reject the null since t stat does not fall within the rejection region and the p value is greater than the alpha.
Interpret the Decision Name of Test : Are your conditions met? YES - are unknown σ1 𝑎?𝑑 σ2 - Indenpent and Random Samples - Populations are normally distributed - Population variances are Equal => Pooled = Yes State the claim Ho HA Claim: The calling range if the 2.4 GHz cordless phone is greater than that of its competitors [Ha] Ho: 1 ≤ 2. Ha: 1 > 2 [claim]| µ µ µ µ Level of significance Df σ = 0. 05 df = n1 +n2-2=14+16-2=28
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