The average height of a skyscraper in London is µ = 190 meters and the standard deviation is σ = 36 meters. Building height is normally distributed.
3a. Draw a normal curve below and fill in the mean value and the values for +/- 1, 2, and 3 standard deviations above and below the mean. Show your work.
3b. What is the probability (list as a percentage) that a randomly selected skyscraper in London is taller than 190 meters? Show you work and/or briefly explain how you got your answer.
3c. What is the probability (list as a percentage) that a randomly selected skyscraper in London is between 154 meters and 226 meters? Show your work.
The average height of a skyscraper in London is µ = 190 meters and the standard...
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...
The height of women in the United States is normally distributed with a mean of 165 cm and standard deviation of 7 cm. Show all work for full credit! What is the probability that a randomly selected woman in the United States is taller than 167 cm? What is the probability that a randomly selected sample of 50 women in the United States has an average height greater than 167 cm? bove
Assume that women’s heights are normally distributed with a mean given by µ = 63.5 in, and a standard deviation given by σ = 2.9 in. If 1 woman is randomly selected, find the probability that her height is less than 61 in. Round to four decimal places and leave as a decimal If 70 women are randomly selected, find the probability that they have a mean height less than 64 in. Round to four decimal places and leave as...
studies indicate that the mean height of women is 63.7 with a standard deviations of 2.7 in.if a women is selected at random, what is the probability that she is 69 inches tall or taller
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 that the monthly return of stock A is approximately normally distributed with mean µ and standard deviation σ, where µ and σ are two unknown parameters. We want to learn more about the population mean µ, so we collect the monthly returns of stock A in nine randomly selected months. The returns are given (in percentage) as follows: 0.3, 1.3, 1.5, −0.6, −0.2, 0.8, 0.8, 0.9, −1.2 Answer the following questions about the confidence intervals for µ. (a) Construct...
I need the calculation of a female with a height of 5'1. The average height for all males is 69.3 inches with a standard deviation of 2.8 inches. For females, the average height is 64 inches and the standard deviation is 2.8. These are population values. For this week’s discussion, you will calculate a z-score based on your own height and determine whether your score is within the 95% normal range or if it is out of that range and...
A species of bird is approximately normally distributed with mean height of 80cm and standard dev. of 5cm. A. What proportion of these birds are taller than 86.5 cm? B. In a random sample of 6 birds, what is the probability that the average height is greater than 86 cm? C. What is the minimum height for the top 15% of birds? Show your work please!
Average height of men is normally distributed with mean height of 160 cm and standard deviation of 5 cm. If a man is randomly selected from this population, find the probability that he is between 150 cm and 162 cm. Question 12 options: 0.0228 0.3422 0.6554 0.6326 0.850
1. The heights of kindergarten children are approximately normally distributed with a mean height of 39 inches and a standard deviation of 2 inches. A classroom of 20 of these children is used as a sample. What is the probability that the average height , for the class is greater than 40 inches? Illustrate with a graph. ANSWER: 0.0127 2. The heights of kindergarten children are approximately normally distributed with a mean height of 39 inches and a standard deviation...