A. As a student taking Biostatistics, you are confronted with an exam problem wh
ID: 3151874 • Letter: A
Question
A. As a student taking Biostatistics, you are confronted with an exam problem where you are given two sample means, two sample standard deviations, and two sample sizes. You are informed (without evidence) that the data are normally distributed, that the observations were independently collected, and that the samples were taken from large populations. You are asked if there is evidence that the mean of one population is larger than the other.
The most appropriate test to perform to answer this question (of the choices given) is
two-sample t-test
paired t-test
Wilcoxon-Mann-Whitney test
Wilcoxon Signed Rank test
Sign test
Randomization test
B.
As a student taking Biostatistics, you are confronted with an exam problem where you are given two sets of data with equal numbers of observations. You are also presented with a single normal probability plot that shows a fairly linear trend in the scatter. You are informed that normal probability plot is for the differences in corresponding values between the two sets of data. You are asked if there is evidence for a cause-effect relationship, as the two sets of data correspond to a dose-response experiment for the same subjects.
The most appropriate test to perform to answer this question (of the choices given) is
two-sample t-test
paired t-test
Wilcoxon-Mann-Whitney test
Wilcoxon Signed Rank test
Sign test
Randomization test
C.
As a student taking Biostatistics, you are confronted with an exam problem where you are given two sample means, two sample standard deviations, and two sample sizes. You are informed that the observations were independently collected, and that the samples were taken from large populations. You are also provided with two normal probability plots that show the scatter of points to form a fairly linear trend in each case. You are asked if there is evidence that the mean of one population is larger than the other.
The most appropriate test to perform to answer this question (of the choices given) is
two-sample t-test
paired t-test
Wilcoxon-Mann-Whitney test
Wilcoxon Signed Rank test
Sign test
Randomization test
two-sample t-test
paired t-test
Wilcoxon-Mann-Whitney test
Wilcoxon Signed Rank test
Sign test
Randomization test
Explanation / Answer
1) The above information is related to two sample t-test for difference of means, because the assumptions of t-test for difference of means are (i) the sample are independent (ii) the samples are drawan from normal popultion. For this reasons the above information is suitable for two sample t-test and if the data is available to give a conclusion of this statement if there is evidence that the mean of one population is larger than the other.
2) The above information is related to paired sample t-test for difference of means, because the assumptions for paired t-test for difference of means are (i) two sample are dependent (ii) tywo sample sizes are equal. For this reasons the above information is suitable for pair t-test for difference of means and if the data is available to give a conclusion of this statement if there is evidence for a cause-effect relationship, as the two sets of data correspond to a dose-response experiment for the same subjects.
3) The above information is related to two sample t-test for difference of means, because the assumptions of two sample t-test for difference of means (i) the sample are independent (ii) the samples are drawan from normal popultion. For this reasons the above information is suitable for two sample t-test and if the data is available to give a conclusion of this statement if there is evidence that the mean of one population is larger than the other.
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