The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 64 inches and standard deviation of 3 inches. Use this information to answer the questions.
(a) What is the probability that a randomly selected woman from this university is 67 inches or taller? (Give the answer to two decimal places.)
(b) What is the probability that two randomly selected women from this university are both 67 inches or shorter? (Give the answer to four decimal places.)
(c) What is the probability that of two randomly selected women, one is 67 inches or shorter and the other is 67 inches or taller? (Give the answer to four decimal places.)
(d) What is the probability that two randomly selected women are both 64 inches or taller? (Give the answer to two decimal places.)
The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1...
The empirical rule states that, for data having a bell-shaped distribution, the percentage of data values being within one standard deviation of the mean is approximately t of Select one: a. 33%. b, 50% C. 68%. d. 95%.
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 5 inches. (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall? (Round your answer to four decimal places.) (b) If a random sample of thirteen 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 inches? (Round your answer to four decimal places.)
13. Using the Empirical Rule of a bell-shaped distribution, approximately what percent of data values lie within two standard deviations of the mean?
Assuming that the heights of college women are normally distributed with mean 68 inches and standard deviation 2.3 inches, answer the following questions. (Hint: Use the figure below with mean μ and standard deviation σ.) (a) What percentage of women are taller than 68 inches? % (b) What percentage of women are shorter than 68 inches? % (c) What percentage of women are between 65.7 inches and 70.3 inches? % (d) What percentage of women are between 63.4 and 72.6...
Assuming that the heights of college women are normally distributed with mean 67 inches and standard deviation 2.9 inches, answer the following questions. (Hint: Use the figure below with mean and standard deviation o.) Area Under a Normal Curve 19.5% 34% 3 - 30 -20 - + 95% 20% (a) What percentage of women are taller than 67 inches? (b) What percentage of women are shorter than 67 inches? (c) What percentage of women are between 64.1 inches and 69.9...
Suppose that the heights of adult women in the United States are normally distributed with a mean of 64.5 inches and a standard deviation of 2.3 inches. Jennifer is taller than 75 %of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Suppose that the heights of adult women in the United States are normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches. Jennifer is taller than 90% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. inches x 6
The blood platelet counts of a group of women have a bell shaped distribution with a mean of 249.7 and a standard deviation of 66 2. (Al units are 1000 cellsUsing the empirical rule, find each approximate percentage below a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 183.5 and 315 9? b. What is the approximate percentage of women with platelet counts between 1173 and 382.1? a. Approximately...
the blood platelet counts
platelet counts of a group of women have a bell shaped distibution with a mean of 263 1 and a standard deviation of 60.5. (All units are 1000 cells/pl) a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean or between 81.6 and 44467 b. What is the approximate percentage of women with platelet counts between 202 6 and 323 67 The blood Using the empirical rule, find...
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.38. Using the empirical rule, what percentage of the students have grade point averages that are at least 1-422 Please do not round your answer Suppose that grade point averages of undergraduate students at one university have a bell shaped distribution with a mean of 2.61 and a standard deviation of 0.4 using the empirical...