[Solution Library] A researcher has done a series of experiments to determine whether there is any significant difference between two treatments. The data
Question: A researcher has done a series of experiments to determine whether there is any significant difference between two treatments. The data from these two experiments are as follows:
EXPERIMENT 1 EXPERIMENT 2
TREATMENT A TREATMENT B TREATMENT A TREATMENT B
n 8 8 16 16
-
X 40 37 40 37
S ₂ 12 14 12 14
- For the first experiment, the researcher conducts a two tailed t-test and reports the results as t(obt) (14) = 1.66, p≥.05 . What should the researcher conclude about these two types of treatments based on this result?
- Based on the results from the first experiment, should the researcher be concerned about Type 1 error or Type 2 error?
- For the second experiment, the researcher conducts a two-tailed independent two sample t-test and obtained a t value of 2.35. Report the results of this test formally
- Although the mean scores obtained from the two experiments are the same (40 and 37) the results of experiment 1 and 2 lead to different conclusions. Which experiment allows for a more powerful testing of the difference between these two treatments? Briefly describe
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