The distribution of scores on a test for a particular class is skewed to the left The professor wants to predict the maximum

Question

The distribution of scores on a test for a particular class is skewed to the left The professor wants to predict the maximum score and understand the distribution of the sample maximum She simulates the distribution of the maximum of the test for 36 different tests with n 5 The histogram to the right shows a simulated sampling distribution of the sample maximum from these tests Complete parts a and b below a Would a Normal model be a useful model for this sampling distribution Explain OA Yes The sampling distribution of the maximum is skewed to the left so a Normal model would be useful for this sampling distribution O B Yes The sampling distribution of the maximum is symmetric and unimodal so a Normal model would be useful for this sampling distribution OC No The sampling distribution of the maximum is symmetric and unimodal so a Normal model would not be useful for this sampling distribution O D No The sampling distribution of the maximum is skewed to the left so a Normal model would not be useful for this sampling distribution b The mean of this distribution is 46 3 and the SD is 3 5 Would you expect about 95 of the samples to have their maximums within 7 of 46 3 Why or why not OA Yes The values show too little variation to apply the 68 95 99 7 Rule OB Yes The 68 95 99 7 Rule is based on the Normal distribution OC No The 68 95 99 7 Rule is based on the Normal distribution OD No The values show too much variation to apply the 68 95 99 7 Rule Frequency 20 10 35 40 45 50 Max Score G G

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