Reference no: EM131251591
Consider the following.
(a) For the same data and null hypothesis, is the P-value of a one-tailed test (right or left) larger or smaller than that of a two-tailed test? Choose one
1.The P-value for a one-tailed test is smaller because the two-tailed test includes the area in only one tail.2.The P-value for a one-tailed test is larger because the two-tailed test includes the area in both tails.3.The P-value for a one-tailed test is smaller because the two-tailed test includes the area in both tails.4.The P-value for a one-tailed test is larger because the two-tailed test includes the area in only one tail.
(b) For the same data, null hypothesis, and level of significance, is it possible that a one-tailed test results in the conclusion to reject H0 while a two-tailed test results in the conclusion to fail to reject H0? choose one
1.Yes. The P-value for a one-tailed test might be smaller than α, while the P-value for a two-tailed test could be larger than α.2.No. The P-value for a one-tailed test might be smaller than α, while the P-value for a two-tailed test could be larger than α.3.Yes. When the P-value for a one-tailed test is smaller than α, the P-value for a two-tailed test will also be smaller than α.4.No. When the P-value for a one-tailed test is smaller than α, the P-value for a two-tailed test will also be smaller than α.
(c) For the same data, null hypothesis, and level of significance, if the conclusion is to reject H0 based on a two-tailed test, do you also reject H0 based on a one-tailed test? choose one
1.Yes. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.2.No. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.3.Yes. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.4.No. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.
(d) If a report states that certain data were used to reject a given hypothesis, would it be a good idea to know what type of test (one-tailed or two-tailed) was used? choose one
1.Yes. The conclusions will be the same.2.Yes. The conclusions can be different.3.No. The conclusions will be the same.4.No. The conclusions can be different.
Analyse the data and draw conclusions
: The optimum conditions occur at one of the actual test combinations because all four design factors were treated as qualitative. With continuous factors, the optimal conditions are usually not at one of the experimental runs.
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