Requesting help on question a. & b. all information is below:
Consider the following hypothesis test. Ho : 0=02 a. What is your conclusion if my = 21, s, = 8.2, ny = 26, and s, = 4.0? Use a = 0.05 and the p-value approach. Calculate the value of the test statistic (to 2 decimals). The p-value is between 0.05 and 0.10 . Use Table 4 of Appendix B. What is your conclusion? Cannot conclude that the two population variances are different * b. Repeat the test using the critical value approach. What is the rejection rule for this hypothesis test? Round the critical values to 2 decimal places. Reject Ho If F greater than or equal to What is your conclusion? Cannot conclude that the two population variances are different #TABLE 4 F DISTRIBUTION Area or probability Fa Entries in the table give F. values, where a is the area or probability in the upper tail of the F distribution. For example, with 4 numerator degrees of freedom, 8 denominator degrees of freedom, and a .05 area in the upper tail, Fos = 3.84. Numerator Degrees of Freedom Area in 1000 Denominator 100 10 15 20 25 30 40 60 Upper 6 9 Degrees if Freedom 2 3 5 Tall 1 62.05 62.20 62.53 62.79 63,01 63,30 60. 19 61.22 61.74 58.20 58.91 59.44 59.86 248.02 249.26 250.10 251.14 252.20 253.04 254.19 49.50 53.59 55.83 57.24 .TO 236.17 238.88 240.54 241.88 245.95 39.86 233.99 998.09 1001.40 1005.60 1009.79 1013.16 1017.76 215.71 224.58 230.16 161.45 199.50 963.28 968.63 984.87 993.08 .05 899.60 921.83 937.11 948.20 956.64 6312.97 6133.92 6362.80 025 647.79 799.48 864.15 6239.86 6260.35 6286.43 6022.40 6055.93 6156.97 6208.60 5763.96 9.49 4052.1.8 4999.34 5403 53 5624.26 5858.95 5928.33 5980.95 9.48 9.42 9.44 9.45 9.47 9.47 9.37 9.38 9.39 19.48 19.49 19.49 9.24 4 29 9.3 19.47 .10 8.53 9.00 9.10 19.35 19.37 19.40 19.43 19.45 1940 19 47 19.48 39.49 39,50 19.23 19.30 39.45 19 46 19.46 19 43 .05 18.51 99 50 19 25 39 30 39.33 19.36 39.37 19.39 39.40 025 38,51 39,00 A.IT 19.39 99.40 29 33 3.13 18.30 49 16 5.17 3.17 3.13 5.23 5.20 3.18 8 55 8.57 3.28 3.25 5.24 8.70 8.66 8.63 8.62 8.59 8.5 5.39 534 8.85 8.81 8.79 13.99 13.96 13.91 .10 8.94 9.28 401 8.89 14.17 14.12 055 14.54 14.47 14.42 14.25 26.24 2614 .05 10,13 15.44 15.10 14.88 14.73 14.62 27.23 26.87 26.69 26.58 2641 025 17.44 16.04 17.49 27.34 29 46 38.71 38 74 27.91 3.79 3.78 3.76 .01 34.12 082 3.80 3.95 3.94 3,92 3.87 3.8- 405 401 5.86 5.80 5.75 5.72 .10 4.54 1 19 6.04 6.00 5.96 8.50 8.46 8.4I 8.36 8.32 8.26 6.26 6.16 8.36 .05 7.71 6.94 5 59 8.98 8.90 8.84 8.66 3.75 13 58 13.47 13.91 3.65 936 025 10.65 9.98 14.55 14.20 12.22 4.66 16 69 15.98 15.21 14 90 .01 21.20 3.17 3.16 3.14 3.13 5.34 3.32 3.30 3.324 3.21 3.19 3.40 4.62 4.56 4.52 4.50 4.46 4.43 4.41 10 4.0 4.82 4.77 4.74 6.27 6.23 6.18 6,12 141 1.19 5.03 6,33 9.03 6.76 6.68 6.62 643 6.6 7.15 0 72 0 55 9.45 9.38 9.29 9.20 .025 10.0 5.43 7.76 7.39 10 46 10.29 0.16 10.05 3.27 12 06 1.39 10.97 10.67 16.26 2.80 2.78 2.76 2.75 2172 2.98 2.90 2.94 2.81 2.84 2.81 3.67 6.18 3.11 3.05 3.01 4.06 3.94 3.87 3.83 3.81 3.77 3.74 3.71 .10 4.86 3.78 1.46 4.96 4.97 1.76 1.53 4.28 4.21 1,15 4.10 5.46 5.27 5.17 5.11 5.07 5.01 5.99 5.14 6.99 5.99 5.82 5,70 5,60 5.52 7.06 6.89 7.40 7.30 7.23 7.14 025 8,81 7.26 6.60 6.23 187 7.56 8.75 8.26 8.10 3 78 2.51 2.50 2.47 13.75 092 2.70 2.63 2.59 2.57 2.56 2.54 1.23 2.88 2.83 2.78 2.75 2.72 3.38 3.34 3.30 3.27 3.59 .26 3.07 2.96 3.44 3.79 1.73 3.68 4.64 351 4.31 4.25 4.21 4.15 1.74 4.12 197 187 4.57 4.40 4.36 5.59 4.47 5.29 5.12 4.9g 4.90 4.82 4.70 591 5.82 025 8.07 6.54 5.89 5.52 7.19 6.84 5.62 2.2 3 45 2.32 2.30 2.56 2.54 2.46 2.42 2.40 2.38 2.36 2.34 2.97 2.93 2.81 2.59 3.01 3.11 2.92 2.73 2.67 2.62 3.35 3.22 3.15 3.11 3.08 3.04 3.46 3.44 3.39 3.84 3.7 3.74 5,32 4,46 1.07 3.84 3.69 1.58 3.50 3.94 3.89 165 4.53 1.43 4.36 4.30 4.1 5.20 5.12 5.07 4.87 7.57 6.06 5.42 5.05 5.81 5 57 5,36 5.26 7.59 667 5 37 6 18 6.03 5.91 11.26 B. 65 2.21 2.19 2.16 2.44 2.42 2.34 2.30 2.27 2.25 2.23 2.51 2.47 2.76 2.71 2.55 2.79 3.01 2.81 2.69 2.61 3.23 3.18 3.14 3.01 2.94 2.89 2.86 2.83 3.36 351 3.45 3.40 3.34 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.67 3.60 3.56 4.72 4.48 432 4.20 5.08 4.10 4.03 3.96 3.77 4.57 4.48 4,41 4.32 4.71 4.65 025 7.21 5.71 4.81 6.42 6.06 5.80 5.61 5.47 5.35 5.26 4.96 2.06 10.56 8.02 6.99 2.24 2.20 2.17 2.16 2.13 2.11 2.09 2.46 2.41 2.38 2.35 2.32 2.77 2.73 2.70 2.66 2.62 2.59 2.54 3.29 2.92 2.73 2.61 2.52 3.22 3.14 3.07 3.02 2.98 2.85 3.42 3.26 3.20 10 4.10 3.71 3.33 3.35 3.31 3,15 3,09 4.96 3.48 4.47 4.24 4.07 3.95 3.85 3.78 3.72 3.52 4.56 4.41 4.31 4.25 4.17 4.08 4.01 3.92 025 6.94 5.46 4.83 5.99 5.64 5.39 5.20 5.06 4.94 4.85 10.04 7.56 6.55\f\f
