Problem

3.3 - Normal Distributions Score: 0/33 0/11 answered Question 2 According to National Testing data, college math class testing times are Normally distributed with a mean of 55 minutes and standard deviation 5 minutes. The bell curve below represents the probability distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the three indicated boxes. Note that the leftmost and right-most boxes are the values that are two standard deviations from the mean. Question Help: Message instructor $D$ Post to forum

Solution

Step 1 :The question is asking for the values that are two standard deviations from the mean. Given that the mean is 55 minutes and the standard deviation is 5 minutes, we can calculate these values by adding and subtracting two standard deviations from the mean.

Step 2 :The leftmost box will be the mean minus two standard deviations and the rightmost box will be the mean plus two standard deviations.

Step 3 :Let's calculate these values.

Step 4 :mean = 55

Step 5 :std_dev = 5

Step 6 :leftmost_box = mean - 2*std_dev = 55 - 2*5 = 45

Step 7 :rightmost_box = mean + 2*std_dev = 55 + 2*5 = 65

Step 8 :Final Answer: The leftmost box value is \( \boxed{45} \) and the rightmost box value is \( \boxed{65} \).

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