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Assignment #7: AB. The height at the shoulder) of adult African bush elephants has a normal...
AC. Suppose the weight of a 1-year-old perch is normally distributed with mean 8.4 ounces and...
AC. Suppose the weight of a 1-year-old perch is normally distributed with mean 8.4 ounces and standard deviation 2 ounces (i) What proportion of 1-year-old perch weigh less than 9 ounces? (ii) Find the 43rd percentile of the weights of 1-year-old perch. AD. Cerebral blood flow (CBF) in the brains of healthy people is normally distributed with mean 74 and standard deviation 16. What proportion of healthy people will have a CBF reading above 110? (ii) Find the 27th percentile...
Heights of 13 year old males in the USA are normally distributed with a mean of...
Heights of 13 year old males in the USA are normally distributed with a mean of 60 inches and a standard deviation of 2 inches. Find the probability that a randomly selected 13 year old male in the USA has a height more than 58 inches. (Write your answer as a decimal number, rounded to the nearest hundredth) Heights of 13 year old males in the USA are normally distributed with a mean of 60 inches and a standard deviation...
Math 1600 Laboratory Assignment #11 Page 2 Calculating Percentiles for Normal Random Variables Example: The speed...
Math 1600 Laboratory Assignment #11 Page 2 Calculating Percentiles for Normal Random Variables Example: The speed of cars on a certain stretch of freeway is normally distributed with mean 65 mph and standard deviation 5 mph. Find the 98 percentile of the speeds. Solution Let X - 98 percentile of speeds. Then X = - +Z0-65+Z(5), where is the 98 percentile for Z. We find Z by looking for the probability 9800 in Table 3. It is not there, so...
Heights for a certain group of people are normally distributed with mean-64 inches and standard deviation-2.9...
Heights for a certain group of people are normally distributed with mean-64 inches and standard deviation-2.9 inches. Find the proportion of people in the group whose heights fall into the following ranges. (Round your answers to four decimal places.) (a) Between 61 inches and 64 inches (b) Between 57 Inches and 71 inches. (c) Less than 71 inches. (d) Greater than 57 inches (e) Either less than 57 Inches or greater than 71 inches You may need to use the...
1. Use Table A to find the proportion of observations from a standard Normal distribution that...
1. Use Table A to find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. In each case, sketch a standard Normal curve and shade the area under the curve that is the answer to each question. a. z<-1.83 b.z > 2.18 c. Z>-0.51 d. z <0.33 e. 1.42<z <2.68 f.-2 <2<1.53 X is a normally distributed variable with mean u = 30 and standard deviation o = 4. Find the following: a....
41. Find the area under the standard normal curve to the left of a, z= 1.18...
41. Find the area under the standard normal curve to the left of a, z= 1.18 b. z--1.85 c. 2-2.48 d. z-0.08 e, z=-1.25 g. z 0.05 h.-0.92 i. z- 0,00 j. z 3.24 4 Aert machn rodcas compoets havientinetes A of measuring samples of these components, it is found that the standard deviation is 0.2 centimeters. A test is carried out on a sample to check whether the data on the lengths of components is normally distributed and it...
In Country A, the population mean height for 3-year-old boys is 39 inches. Suppose a random...
In Country A, the population mean height for 3-year-old boys is 39 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 38.4 inches with a standard deviation of 4 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. Find the p-value. p equals____? (Type an integer or decimal rounded to three decimal places as needed.
A normal population has mean = 9 and standard deviation -5. (a) What proportion of the...
A normal population has mean = 9 and standard deviation -5. (a) What proportion of the population is less than 19? (b) What is the probability that a randomly chosen value will be greater than 4? Round the answers to four decimal places. Part 1 of 2 The proportion of the population less than 19 is Part 2 of 2 The probability that a randomly chosen value will be greater than 4 is : A normal population has mean =...
1. The amount of soda in a 12 ounce bottle is supposed to be 12 ounces,...
1. The amount of soda in a 12 ounce bottle is supposed to be 12 ounces, right? There is some variability in the amount that the machines dispense into the bottles. Let the real amount of soda in each bottle follow a Normal distribution with mean 12.2 and standard deviation 0.3. a. If the bottle can only hold 13 ounces, what is the probability the bottle will overflow? In other words, what is the probability that the machine dispenses more...
a. Ms. Newell gave her class a 10-question multiple-choice quiz with 4 choices. Let X =...
a. Ms. Newell gave her class a 10-question multiple-choice quiz with 4 choices. Let X = the number of questions that a randomly selected student in the class answered correctly. The mean and standard deviation of X are 7.6 and 1.32 respectively. To determine each student’s grade on the quiz, Ms. Newell will multiply his or her number of correct answers by 10. Let RV ‘G’ be the grade of a randomly chosen student in the class. i. Calculate the...
AC. Suppose the weight of a 1-year-old perch is normally distributed with mean 8.4 ounces and standard deviation 2 ounces (i) What proportion of 1-year-old perch weigh less than 9 ounces? (ii) Find the 43rd percentile of the weights of 1-year-old perch. AD. Cerebral blood flow (CBF) in the brains of healthy people is normally distributed with mean 74 and standard deviation 16. What proportion of healthy people will have a CBF reading above 110? (ii) Find the 27th percentile...
Math 1600 Laboratory Assignment #11 Page 2 Calculating Percentiles for Normal Random Variables Example: The speed of cars on a certain stretch of freeway is normally distributed with mean 65 mph and standard deviation 5 mph. Find the 98 percentile of the speeds. Solution Let X - 98 percentile of speeds. Then X = - +Z0-65+Z(5), where is the 98 percentile for Z. We find Z by looking for the probability 9800 in Table 3. It is not there, so...
Heights for a certain group of people are normally distributed with mean-64 inches and standard deviation-2.9 inches. Find the proportion of people in the group whose heights fall into the following ranges. (Round your answers to four decimal places.) (a) Between 61 inches and 64 inches (b) Between 57 Inches and 71 inches. (c) Less than 71 inches. (d) Greater than 57 inches (e) Either less than 57 Inches or greater than 71 inches You may need to use the...
1. Use Table A to find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. In each case, sketch a standard Normal curve and shade the area under the curve that is the answer to each question. a. z<-1.83 b.z > 2.18 c. Z>-0.51 d. z <0.33 e. 1.42<z <2.68 f.-2 <2<1.53 X is a normally distributed variable with mean u = 30 and standard deviation o = 4. Find the following: a....
41. Find the area under the standard normal curve to the left of a, z= 1.18 b. z--1.85 c. 2-2.48 d. z-0.08 e, z=-1.25 g. z 0.05 h.-0.92 i. z- 0,00 j. z 3.24 4 Aert machn rodcas compoets havientinetes A of measuring samples of these components, it is found that the standard deviation is 0.2 centimeters. A test is carried out on a sample to check whether the data on the lengths of components is normally distributed and it...
A normal population has mean = 9 and standard deviation -5. (a) What proportion of the population is less than 19? (b) What is the probability that a randomly chosen value will be greater than 4? Round the answers to four decimal places. Part 1 of 2 The proportion of the population less than 19 is Part 2 of 2 The probability that a randomly chosen value will be greater than 4 is : A normal population has mean =...
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