The mean height for a normal distribution of heights is 65 inches and the standard deviation...
The mean height for a normal distribution of heights is 65 inches and the standard deviation is 3 inches. Let x represent height. a) P(62< x < 68) b) P(x >70) c) P(x<65)
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The mean height for a normal distribution of heights is 65
inches and the standard deviation...
Consider the approximately normal population of heights of male college students with mean μ = 65...
Consider the approximately normal population of heights of male college students with mean μ = 65 inches and standard deviation of σ = 3.9 inches. A random sample of 12 heights is obtained. (a) Describe the distribution of x, height of male college students. 1) skewed right 2) approximately normal 3) skewed left 4) chi-square (b) Find the proportion of male college students whose height is greater than 70 inches. (Give your answer correct to four decimal places.) (c) Describe...
(2)Heights of adult males are normal distributed with a mean of 65 inches and a standard...
(2)Heights of adult males are normal distributed with a mean of 65 inches and a standard deviation of 2 inches: a) Find the probability that randomly chosen male will have a height between 61 and 68 inches. b) Suppose you are the curator of James Madison's house where the height of the door jams are 70 inches. What is the chance that a randomly selected male will have to duck through the doorway? c) You are designing a new building...
Heights of young women shows a normal distribution with an average of 65 (inches) and standard...
Heights of young women shows a normal distribution with an average of 65 (inches) and standard deviation of 2.5 (inches). - Question: What is the probability that a young woman has a height between 60 (inches) and 67.5 (inches)?
the heights of women aged 18-24 are normally distributed with mean 64.5 inches and a standard...
the heights of women aged 18-24 are normally distributed with mean 64.5 inches and a standard deviation of 2.5 inches. Let X denote the height of a woman. Based on the empirical rule (68-95-99.7rule) answer the following a) P(X<62 or X>69.5)=?
The heights for 5-year-old boys follow the normal distribution with a mean height of 43 inches...
The heights for 5-year-old boys follow the normal distribution with a mean height of 43 inches and a standard deviation of 5.3 inches. A sample of 60 boys is randomly selected.If possible, find the probability that the mean height of boys in the sample is higher than 42 inches. If not, explain.
1. The distribution of heights of adult men is Normal, with a mean of 69 inches...
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 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...
451 In the United States, the mean and standard deviation of adult women's heights are 65...
451 In the United States, the mean and standard deviation of adult women's heights are 65 inches (5 feet 5 inches) and 3.5 inches, respectively. Suppose the American adult women's heights have a normal distribution. a. If a woman is selected at random in the United States, find the probability that she is taller than 5 feet 8 inches. b. Find the 72nd percentile of the distribution of heights of American women. c. If 100 women are selected at random...
It is known that the mean of height of the population of women is 65 inches....
It is known that the mean of height of the population of women is 65 inches. A random sample of 18 supermodels was selected, and they had a mean height of 69.9 inches and a standard deviation of 1.2 inches. Use a 0.05 significance level to test the claim that mean heights of female supermodels are larger than the mean heights of women in general. a.) Write the claim using an appropriate math expression b.) Define the Null and Alternate...
1.Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55...
1.Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. What is the probability that a randomly chosen 10 year old is shorter than 48 inches? 2. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. What is the probability that a randomly chosen 10 year old is between 60 and 65 inches? 3.Heights of...
(2)Heights of adult males are normal distributed with a mean of 65 inches and a standard deviation of 2 inches: a) Find the probability that randomly chosen male will have a height between 61 and 68 inches. b) Suppose you are the curator of James Madison's house where the height of the door jams are 70 inches. What is the chance that a randomly selected male will have to duck through the doorway? c) You are designing a new building...
451 In the United States, the mean and standard deviation of adult women's heights are 65 inches (5 feet 5 inches) and 3.5 inches, respectively. Suppose the American adult women's heights have a normal distribution. a. If a woman is selected at random in the United States, find the probability that she is taller than 5 feet 8 inches. b. Find the 72nd percentile of the distribution of heights of American women. c. If 100 women are selected at random...
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