An article describes an experiment in which several types of boxes were compared with respect to compression strength (Ib). The table below presents the results of a single-factor ANOVA experiment...


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An article describes an experiment in which several types of boxes were compared with respect to compression strength (Ib). The table below presents the results of a single-factor ANOVA experiment involving<br>I = 4 types of boxes.<br>Type of Box<br>Compression Strength (Ib)<br>Sample Mean Sample SD<br>655.5 788.3 734.3 721.4 679.1 699.4<br>713.00<br>46.55<br>2<br>789.2 772.5 786.9 686.1 732.1 774.8<br>756.93<br>40.34<br>3<br>737.1 639.0 696.3 671.7 717.2 727.1<br>698.07<br>37.20<br>4<br>535.1 628.7 542.4 559.0 586.9 520.0<br>562.02<br>39.87<br>Suppose that the compression strength observations on the fourth type of box had been 646.1, 739.7, 653.4, 670.0, 697.9, and 631.0 (obtained by adding 111 to each previous X4;). Assuming no change in<br>the remaining observations, carry out an F test with a = 0.05.<br>State the appropriate hypotheses.<br>O Họ: H1 + u2 * 43 # 44<br>Hạ: all four u's are equal<br>O Ho: u1 = uz = u3 = u4<br>Ha: at least two u's are unegual<br>O Ho: H1 # u2 # 43 # 44<br>Hạ: at least two u's are equal<br>O Ho: H1 = u2 = u3 = M4<br>H3: all four u's are unequal<br>Calculate the test statistic. (Round your answer to two decimal places.)<br>f = 4.19<br>

Extracted text: An article describes an experiment in which several types of boxes were compared with respect to compression strength (Ib). The table below presents the results of a single-factor ANOVA experiment involving I = 4 types of boxes. Type of Box Compression Strength (Ib) Sample Mean Sample SD 655.5 788.3 734.3 721.4 679.1 699.4 713.00 46.55 2 789.2 772.5 786.9 686.1 732.1 774.8 756.93 40.34 3 737.1 639.0 696.3 671.7 717.2 727.1 698.07 37.20 4 535.1 628.7 542.4 559.0 586.9 520.0 562.02 39.87 Suppose that the compression strength observations on the fourth type of box had been 646.1, 739.7, 653.4, 670.0, 697.9, and 631.0 (obtained by adding 111 to each previous X4;). Assuming no change in the remaining observations, carry out an F test with a = 0.05. State the appropriate hypotheses. O Họ: H1 + u2 * 43 # 44 Hạ: all four u's are equal O Ho: u1 = uz = u3 = u4 Ha: at least two u's are unegual O Ho: H1 # u2 # 43 # 44 Hạ: at least two u's are equal O Ho: H1 = u2 = u3 = M4 H3: all four u's are unequal Calculate the test statistic. (Round your answer to two decimal places.) f = 4.19
4.20 is still wrong<br>

Extracted text: 4.20 is still wrong

Jun 03, 2022
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