A normal distribution has a mean of 33 and a standard deviation of 4. Using the EmpiricalRule, find the approximate probability that a randomly selected x-value from the distributionis in the given interval+172125293337414549% (Give an exact answer based on the Empirical Rule.)+172125293337414549% (Give an exact answer based on the Empirical Rule.)Submit Questionis

We have given that Mean = 33 Standard deviation = 4

Answered: A normal distribution has a mean of 33…

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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A normal distribution has a mean of 37 and a standard deviation of 3. Find the probability that a randomly selected x-value from the distribution is in the given interval 25 28 31 34 37 40 43 46 49 25 28 31 34 37 40 43 46 49
A normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval 17 21 25 29 33 37 41 45 17 21 25 29 33 37 41 45 49
The GPA distribution of the 30 students in this subject is given below. X = 0, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0 # of students = 24 6 2 7 5 3 1 1. What is the expected value of X? 2. Choose the closest the number to the standard deviation of X?
A normal distribution has a mean of 37 and a standard deviation of 6. Find the probability that a randomly selected x-value from the distribution is in the given shaded region 13 19 25 31 37 43 49 55 61 13 19 25 31 37 43 49 55 61
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Assume that a sample is used to estimate a population mean u. Use the given confidence level and sample data to find the margin of error. Assume that the sample is a simple random sample and the population has a normal distribution. 95% confidence; n=12; x=46.1; s=5.7
Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 2.5%. A random sample of 10 bank stocks gave the following yields (in percents). 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 The sample mean is = 5.38%. Suppose that for the entire stock market, the mean dividend yield is ? = 4.9%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.9%? Use ? = 0.01. (c) Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.) ?Sketch the sampling distribution and show the area corresponding to the P-value. (Select the correct graph.)
Provide an appropriate response. 5) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores 5) are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). 60 65 70 75 80 85 90 95 100 105 110 115 120 125 130 135 140 Assume that X has a normal distribution, and find the indicated probability. 6) The mean is µ = 137.0 and the standard deviation is a = 5.3. Find the probability that X is between 134.4 and 140.1. 6) 1 7) 7) The mean is µ = 60.0 and the standard deviation is o = 4.0. Find the probability that X is less than 53.0. 8) 8) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week?
This C The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 grams. Use the empirical rule to determine the folowing (a) About 99.7% of organs will be between what weights? (b) What percentage of organs weighs between 230 grams and 390 grams? (c) What percentage of organs weighs less than 230 grams or more than 390 grams? (d) What percentage of organs weighs between 270 grams and 430 grams? (a) and grams (Use ascending order.) (b)% (Type an integer or a decimal.) (c) % (Type an integer or a decimal.) (d) % (Type an integer or decimal rounded to two decimal places as needed.) Enter your answer in each of the answer boxes. e Type here to search 近
Page > of 3 The Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested recently predicted a mean of 27.8 miles per gallon, with a standard deviation of 4.2 miles per gallon. Assume that a Normal model applies. Find the probability that a randomly selected automobile will average: 1. Less than 24 miles per gallon. 2. More than 19 miles per gallon. 3. Between 24 and 30 miles per gallon. 45°F Cloudy here to search (25
Test the claim that on average, heights (in feet) of oak trees in a forest are less than heights of pine trees. Use a = 0.01. It is known that tree heights follow a normal distribution, and the population standard deviation for both species is known to be 10.3 feet. The table below shows the results of two random samples. Туре 21 n Oaks 56.7 Pines 17 60.7 1. The fact that heights are known to be normally distributed is important in this test because: O this is a Z-test O both sample sizes are less than thirty O both standard deviations are less than thirty O this is a T-test The hypotheses are: O Ho:p1 2 P2; Ha:p1 µ2 O Ho:µ1 = µ2; Ha: µ1 + p2 O Ho:p = P2; Ha:p1 # P2 O Ho:pi p2 O Ho:µ1 2 H2; Ha:p < p2 2. This is a O leftO rightO two tailed test and the distribution used is Oz since both o values are known 13 MacBook Air esc F1 80 F3 F2 F4 FS F6 %23 & 2 3 5 6 tab R.
Let X1, X2, X3, be a r. s. from normal distribution with mean 0 and variance 1, let the prior distribution of 0 is normal with mean zeroand variance 1. Let L(6,0) = (ô - 0). Find the Bayes estimator of 0

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