Please solve these questions and why we choose the answers. Thanks! 20. A random
ID: 3354434 • Letter: P
Question
Please solve these questions and why we choose the answers. Thanks!
20. A random experiment was conducted to see if a newly formulated drug produceda different effect on the mean time to recovery than that achieved using the standard drug. It is known that the mean time to recovery for the standard drug is 26 days. Following an extensive random experiment involving 65 patients, the data gathered were used to construct a 95% confidence interval estimate for the mean recovery time (in days) for patients on the new drug. The 95% confidence interval was found to be (24.6, 27.8). What conclusion can be reached in this case concerning the new drug relative to the standard drug? A) There is evidence at the 0.05 level of significance that the new drug is better than B) The experimenter should reject the claim that the new drug is the same as the C) There is insufficient evidence to reject the claim that there is no difference between D) The confidence interval contains the hypothesized value for and hence it is E) There is reason to believe that the standard drug is better than the new drug and the standard drug. standard drug with respect to mean recovery time. the new drug and the standard drug with respect to mean recovery time. significant at the 0.05 level. hence the new drug should not be prescribed.
Explanation / Answer
20. Since the confidence interval contains 26 which is the mean for standard drug, we have insufficient evidence to reject the claim that there is no difference between the mean recovery time of both of these drugs.
Option C is correct.
5. Since graph 2 is covering more area shaded, p - value for graph 2 will be high.
Option B is correct.