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6. The heights of men selected from a particular population have a normal distribution with mean...
Suppose the heights of adult males in a population have a normal distribution with mean µ...
Suppose the heights of adult males in a population have a normal distribution with mean µ = 71 inches and standard deviation σ = 3 inches. Two unrelated men will be randomly sampled. Let X = height of the first man and Y = height of the second man. (a) Consider D = X − Y , the difference between the heights of the two men. What type of distribution will the variable D have? (b) What is the mean...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard...
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...
The height of the galactic population of humans follows a normal distribution with mean µ =...
The height of the galactic population of humans follows a normal distribution with mean µ = 70 inches and standard deviation σ = 2.5 inches. In order to fit in their armor, stormtroopers must be between 72 inches and 74 inches tall. (a) What percentage of the population is eligible to be stormtroopers? (b) Luke is taller than 75% of the population. Find the difference in his height and the height of the shortest acceptable stormtrooper. Is he actually “a...
(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...
(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...
The distribution of heights of adult American women is approximately normal with a mean of 64...
The distribution of heights of adult American women is approximately normal with a mean of 64 inches and standard deviation of 2 inches. What percent of women is taller than 68 inches? a) 0.0014 b) 0.025 c) 0.01 d) 0.05
Suppose we conduct a study of heights of fathers and their sons in a particular population,...
Suppose we conduct a study of heights of fathers and their sons in a particular population, letting X be the father's height in inches and Y the son's. Further, suppose that the random pair (X,Y) is distributed as bivariate normal with EIX) = EY] 68, Var(X) = Var(y) = 4, Cov(X, y) = 06. In what follows, give explicit expressions and simplify them as much as possible. Show your work, not just the final answer. (a) What is the probability...
(1 point) The distribution of heights of adult men in the U.S. is approximately normal with...
(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 73 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 73 inches and standard deviation 6 inches. in USE SALT (a) What is the probability that an 18-year-old man selected at random is between 72 and 74 inches tall? (Round your answer to four decimal places.) 0.9928 X (b) If a random sample of twenty-nine 18-year-old men is selected, what is the probability that the mean height is between 72 and 74 inches? (Round your answer to four...
A large study of the heights of 1170 adult men found that the mean height was...
A large study of the heights of 1170 adult men found that the mean height was 71 inches tall. The standard deviation was 8 inches. If the distribution of data was normal, what is the probability that a randomly selected male from the study was between 63 and 87 inches tall? Use the 68-95-99.7 rule (sometimes called the Empirical rule or the Standard Deviation rule). For example, enter 0.68, NOT 68 or 68%. Round your answer to three decimal places....
The mean height of men is 69.7 inches. Assume that the heights of men are normally...
The mean height of men is 69.7 inches. Assume that the heights of men are normally distributed, with a standard deviation of 2.9 in. a. [2 pts] 10% of men are taller than which height? Round your answer to 1 decimal place. b. [2 pts] Find the percentage of men that are 6'0" or taller. Round your final answer to 2 decimal places. c. [1 pts]How does the approximate percentage for the height of men 6'0" or taller (from the...
(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 we conduct a study of heights of fathers and their sons in a particular population, letting X be the father's height in inches and Y the son's. Further, suppose that the random pair (X,Y) is distributed as bivariate normal with EIX) = EY] 68, Var(X) = Var(y) = 4, Cov(X, y) = 06. In what follows, give explicit expressions and simplify them as much as possible. Show your work, not just the final answer. (a) What is the probability...
(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 73 inches and standard deviation 6 inches. in USE SALT (a) What is the probability that an 18-year-old man selected at random is between 72 and 74 inches tall? (Round your answer to four decimal places.) 0.9928 X (b) If a random sample of twenty-nine 18-year-old men is selected, what is the probability that the mean height is between 72 and 74 inches? (Round your answer to four...
The mean height of men is 69.7 inches. Assume that the heights of men are normally distributed, with a standard deviation of 2.9 in. a. [2 pts] 10% of men are taller than which height? Round your answer to 1 decimal place. b. [2 pts] Find the percentage of men that are 6'0" or taller. Round your final answer to 2 decimal places. c. [1 pts]How does the approximate percentage for the height of men 6'0" or taller (from the...
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