For a 20 specimens' sample of reinforced concrete beams to be tested under three non-mutually exelusive tests which are, compression (A), absorption(B), and cement content (C). The percentages of failure of the above sample beams are given below in the three Venn Diagrams., P(A UBUC)=0.42, P(ANB) -0.1, P(BNC) =0.13, P(ANC) -0.12 P(A)=0.24, P(B)=0.22, P(C)=0.26, Find the following probabilities: 1- P(ANBNC), 2- P(A UBNC), 3-P(Cn A U B)
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- For a two-tailed independent samples t test with a = 0.05 and N1 = 30 & N2 = 32, the critical value(s) should be t?please dont use excel. only handwriytenCalculate the average values of the Cp and Cpk capabil-ity indices for the BOD data , assuming that LSL=5 mg/L and USL=35 mg/L. Do these val-ues of the indices indicate that the process performance is satisfactory?
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- For Finasteride study, photographs are taken of each head. They are assessed using a standard methodology. This results in a score between 1 and 7: 1 Indicating greatly decreased hair growth and 7 gently increased. Simulated data, presented as pairs, is in Table 1. Table 1 - Assessment for hair loss on 1 -7 scale for twin study Group Finasteride Placebo Define the hypothesis. Provide the Critical Value and Region Calculate the test statistic. Provide a conclusion. Score 5, 3, 5, 7, 4, 4, 7, 4, 3 2, 3, 2, 4, 2, 2, 3, 4, 2using the z table (table e), find the critical value (or values) for each. a. alpha=0.10, two tailed test b. alpha=0.01, right tailed test c. aplha=0.005, left tailed testTwo kinds of thread are being compared for strength. The data are as follows: (kg) s (kg) n Brand A: 78.3 5.6 14 Brand B: 87.2 6.3 17 Calculate the t'-statistic alternative hypothesis, in testing the hypothesis that #₁ = 4.0 kg against the 4.0 kg. Assume normality. -
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