Let X represent the full height of a certain species of tree. Assume that X has a normal probabilitydistribution with = 32.3 ft and σ = 73.6 ft.You intend to measure a random sample of n = 37 trees.What is the mean of the distribution of sample means?ftWhat is the standard deviation of the distribution of sample means (i.e., the standard error in estimatingthe mean)?(Report answer accurate to 2 decimal places.)4ftSubmit Questionhp

given data normal distribution μ = 32.3σ = 73.6n = 37

Answered: Let X represent the full height of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose we have a normal distribution N(2, 4), using the Empirical rule, what proportion of data is between the data values -2 and 6?
A population of values has a normal distribution with �=17 and �=56.9. You intend to draw a random sample of size �=227.What is the mean of the distribution of sample means?��¯= What is the standard deviation of the distribution of sample means?��¯= Round to 4 decimal places.
Leave all probabilities as percentages, define x on all problems with data. Simple random samples of high interest (8.9%) and low interest (6.3%) mortgages were obtained. For the 40 high interest mortgages, the borrowers had a mean FICO credit score of 594.8 and a standard deviation of 12.2. For the 40 low interest mortgages, borrowers had a mean FICO credit score of 785.2 and a standard deviation of 16.3. Use an alpha level of 0.01, and a two tailed test of hypothesis to test the claim that the mean FICO score borrowers with a high interest mortgage is the same as the mean FICO score of borrowers with the low interest mortgage.
When asked: "What is the distribution of X ? X ~ N(___,___)." This notation is referring to N, a normal distribution, with the mean given in the first space and the standard deviation in the second space. Remember that the standard deviation of the sample means is different from the population standard deviation. The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation 7 mm. Suppose that 11 individuals are randomly chosen. Round final answers to 4 decimal places. a. What is the distribution of x? x N( b. For the group of 11, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? Yes No
In the entire population of a certain type of tree, the mean height of the trees is μ = 168.8 ft and the standard deviation is σ = 43.6 ft. You collect a random sample of n=22 trees. The distribution of these sample means is shown below. Each tick mark on the horizontal axis is a distance of one more standard error. Complete the indicated boxes, correct to two decimal places. mean of distribution=168.8 standard error=9.30 Note: The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.
Please solve the attached
Suppose that the weight of seedless watermelons is normally distributed with mean 6.9kg and standard deviation 1.9kg. Let X be the weight of a randomly selected seedless watermelon. Round to 4 decimal places. What is the median seedless watermelon weight?
Suppose the ages of Internet shoppers have a mean of 32 years and a standard deviation of 5 years. If you select a random sample of 100 Internet shoppers, what is the probability that the average age of the sample is 30.9 years or more? (use the concept of sampling distribution of mean and central limit theorem)
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