Question: 5. A data set has the following five number summary: Minimum = 0 Q1 = 8 median = 14 Q3 = 20 maximum =39 Is

5. A data set has the following five number summary:

Minimum = 0 Q1 = 8 median = 14 Q3 = 20 maximum =39

Is the maximum value (x = 39) an outlier? To get full credit, you must show the test for the number being an outlier.

6. A hospital screens all newborn infants for a treatable disease. The probability that an infant will test positive is 0.02, and the probability that an infant both tests positive and also has the disease is 0.001. Given that an infant tests positive, what is the probability that the infant actually has the disease?

7. In a certain year, the population mean score for high school students taking the SAT exam is normally distributed with population mean = 490 and population standard deviation = 100. What proportion of the students score between 190 to 790?

8. Use the following data for problem 8:

23 15 27 15 20 19 15 21 32 31 24

8.a Calculate the mean.

8.b Calculate the median.

8.c Find the mode.

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