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:

a. 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?

b. Based on the results from the first experiment, should the researcher be concerned about Type \(1\) error or Type 2 error?

c. 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

d. 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