(1 point) Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches...
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.)
2. Suppose the probability density function for American male height is roughly (in inches x) h(x)e-a-69)2/5.6 2.8V2 a) Write a code to estimate the probability that an American male is between 65 and 70 inches tall using the following integration methods i. multiple application of Trapezoidal rule with 2 and 4 ii, multiple application of Simpson's 1 /3 rule with n = 2 and n = 4 iii. single application of Simpson's 3/8 rule b) Write a code to estimate...
4. Suppose the heights of American men are approximately normally distributed with mean of 68 and standard deviation of 2.5. find the percentage of American men who are between 63 to 73 in tall. Given that the percentage of area under the standardized normal curve and hence also under any normal distribution X is as follows: 68.2% for -Iszsl and for u-Osxsu+0, 95.4% for - 2 szs2 and for u-20 sxs u +20, 99.7% for - 3szs3 and for u-30...
(1 point) The distribution of heights of adult men in the U.S. is approximately normal with mean 69 inches and standard deviation 2.5 inches Use what you know about a normal distribution and the 68-95-99.7 rule to answer the following NOTE: If your answer is a percent, such as 25 percent, enter: "25 PERCENT" (without the quotes). If your answer is in inches, such as 10 inches, enter: "10 INCHES" (without the quotes and with a space between the number...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 1 inch. If a random sample of thirty 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.)
(1 point) The distribution of heights of adult men in the U.S. is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use what you know about a normal distribution and the 68-95-99.7 rule to answer the following. NOTE: If your answer is a percent, such as 25 percent, enter: "25 PERCENT" (without the quotes). If your answer is in inches, such as 10 inches, enter 10 INCHES" (without the quotes and with a space between the number...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 3 inches. (a) Find the percentage of 18 year old men with height between 67 and 69 inches. (b) Find the percentage of 18 year old men taller than 6 foot. (c) if a random sample of nine 18 year old men is selected, what is the probability that their mean height is between 68 and 72 inches? (d) if a random sample...
1. The distribution of heights of adult men is Normal, with a mean of 69 inches and a standard deviation of 2 inches. Gary’s height has a z-score of 0.5 when compared to all adult men. Interpret what this z-score tells about how Gary’s height. A. Gary is one standard deviation above the mean. B. 68% of adult men are shorter than Gary. C. Gary is 70 inches tall. D. All of the above are correct answers. 2. The mean...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 4 inches. (a) What is the probability that an 18-year-old man selected at random is between 66 and 68 inches tall? (Round your answer to four decimal places.) 0.2611 (b) If a random sample of twenty-seven 18-year-old men is selected, what is the probability that the mean height x is between 66 and 68 inches? (Round your answer to four decimal places.) (c)...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 3 inches. (a) What is the probability that an 18-year-old man selected at random is between 66 and 68 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty-five 18-year-old men is selected, what is the probability that the mean height x is between 66 and 68 inches? (Round your answer to four decimal places.) (c) Compare...