Show that for +-distribution with n'dof., about meath 13 given by: √n [[(1-1)/2] / √5564/2 mean deviation
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![Show that for & -distribution with n'dif.,
about meath 13 given by:
√n r[(1-1)/2] / √55/4/2
mean deviation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0135de79-7311-4e3f-ae98-034619e1876b%2F05fd0e8a-9eae-41b3-8f73-186c46888a17%2F7kv9v7e_processed.jpeg&w=3840&q=75)
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.6.21. For two observations 'a' and 'b', show that standard deviation is half the distor between them.2. Suppose that X is normally distributed with u = -7 and o? P(X 2x) = 0.84. = 14. Find the value of x for which
- Suppose that f (x) = (3/2)x2 for −1< x < 1. Determine the mean and standard deviation of X.Suppose that X1, X2,... Xn are n values of a variable X and X is the arithmetic mean. Can we obtain a measure of dispersion of X by taking the arithmetic mean of the deviations (X; - X)? If not, suggest how we can use these deviations to obtain a measure of dispersion of X.Calculate the standard deviation and mean deviation from mean if the frequency function fix) has the form : (3+2x fix) ={ 18 Azd = for 2 51Ss4 %3D otherwise
- 5.11. A point is chosen at random on a line segment of length L Interpret thisstatement, and find the probability that the ratio of the shorter to the longersegment is less than 1/4.Suppose the mean of Z is 2. What is the mean of Y if a = 1.22 and Y=aZ? (Use two decimal places, ex: 12.34)Find the mean value of x³+x²+x y = Over the range - 1Ex6: Assume X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the following: a/ P(X 0) b/ P(3x) = 90%4 Let f(x) = (1/10)(x-3)^2 for x = 1, 2, 3, 4, 5 %3D Find the standard deviation of X. For the instructor, this was question 11. / 1.8 X 3.1 X 3.4 X 3.5 X 9.4 X 12.45.11. A point is chosen at random on a line segment of length Interpret thisstatement, and find the probability that the ratio of the shorter to the longersegment is less than 1/4.SEE MORE QUESTIONS
