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### The distribution of exam scores (ranging from 0 – 100%) where the mean score is 75%, the standard deviation is 12%, and the median is 78% is most likely

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### The midrange is defined as the average of the maximum and the minimum. True or False: This statistic is robust to outliers.

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### Which of the below data sets has the highest standard deviation? You do not need to calculate the exact standard deviations to answer this question.

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### Professors regularly give two versions of an exam. The professor may also provide summary statistics for each version. Suppose the following summary is provided: A student who took Version A says that he should get an extra point because his exam was harder as evidenced by the lower mean score for Version A, as shown by the mean score. Does the student have a good argument? Pick the best answer below.

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### Two distributions (A and B) are shown on the box plot below. Which of the following statements is not supported by the plot?

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### In 1948, Austin Bradford Hill, designed a study to test a new treatment for tuberculosis that at the beginning of the study there was no evidence whether it would be any better or worse than bed rest. He randomly assigned some patients who volunteered to be a part of this study to receive the treatment Streptomycin, an antibiotic. The other patients received only bed rest as the control group. Hill then observed the patients’ outcomes: which patients died and which recovered. The results of the study are shown below. We use the following simulation test if there is a difference between the recovery rates under the two treatments: We write “died” on 18 index cards and “survived” on 89 index cards to indicate whether or not a patient died. Next, we shuffle the cards and deal them into two groups of 52 and 55, for control and treatment, respectively. We then calculate the simulated difference between the recovery rates in Streptomycin and control groups (p̂Streptomycin − p̂Control), and record this value. We repeat this simulation 100 times. The histogram below shows the distribution simulated difference between the recovery rates in these 100 simulations. Which of the following is correct? Choose all that apply (there are multiple correct answers).

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