A phlebotomist draws the blood of a random sample of 50 patients and determines

Question

A phlebotomist draws the blood of a random sample of 50 patients and determines their blood types as shown: AB AB AA B AB O A AB O AB AAO 0 Answer the following problems13-19 13. Construct a frequency distribution. 14. Construct a relative frequency distribution (%). 15. According to the data, which blood type is most common? 16. According to the data, which blood type is least common? 17. What percentage of the sample that has type O blood? 18. Draw a frequency bar graph 19. Draw a frequency bar graph The author's Generac generator produces voltage with a mean of 78.03 volts and standard deviation of 0.09 volt, and the voltages have a bell-shaped distribution. Using the empirical rule answer the following problems 20- 22 20. What is the approximate percentage of voltage amounts between 77.85 volts and 78.12 volts? 21. What is the approximation percentage of voltage amounts is less than 77.76 volts? 22. What is the approximation percentage of voltage amounts is more than 78.12 volts? 23. The average 20-to 29-years-old man is 79.9 inches tall, with a standard deviation of 3.1 inches, while the average 20- to 29-years-old woman is 64.1 inches tall, with a standard deviation of 3.8 inches. Who is relatively taller, a 70-inch man or a 74-inch woman?

Explanation / Answer

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20) mean = 78.03, sigma = 0.09

Between 77.85 and 78.12

These are within 2 SDs from mean. So, rule is:

For the normal distribution, the values within one standard deviation of the mean account for 68.27% of the set; while within two standard deviations account for 95.45%; and within three standard deviations account for 99.73%.

So, 95.45%

b) Less than 77.76 means less than 3 standard deviations

So, % = (100 - 99.73)/2 = 0.135%

c) More than 78.12 = More than 1 SD

% = 50% - (68.27/2) = 15.865%

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