Homework Answers
Option A
Standard deviation is measure of variation which gives amount of variation or dispersion of values from the mean. Low standard deviation means that values are close to the mean, high standard deviation indicates that values are away from the mean of data or they are spread in wider range.
More the standard deviation, more the values are dispersed, hence the normal curve would be more dispersed for a larger standard deviation. The values of N(75,8) will be more dispersed/spreaded around its mean 75 than the values of N(200,4) around its mean 200.
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Normal curve Ais represented by (200, 4) and normal curve B is represented by N(75, 8)....
Suppose you take two non-zero displacements represented by vectors A&B. The magnitude of Ais 4 m...
Suppose you take two non-zero displacements represented by vectors A&B. The magnitude of Ais 4 m and the magnitude of Bis 8 m. What is the magnitude of the largest displacement you can end up from the starting point?
QUESTION 5 Which statement concerning the t-distribution is false? O AT follows a standard normal distribution...
QUESTION 5 Which statement concerning the t-distribution is false? O AT follows a standard normal distribution OB. The smaller the degrees of freedom the flatter the curve. OC. The t-distribution has a larger standard deviation than the Standard Normal Curve. OD. T-distributions have a mean of 0. o E. The total area under the density curve depends on the degrees of freedom. QUESTION 6 The t-procedures are robust when A. sample size is 12 and the sample data is not...
(1 point) Consider a normal distribution curve where the middle 75 % of the area under...
(1 point) Consider a normal distribution curve where the middle 75 % of the area under the curve lies above the interval (6, 15). Use this information to find the mean, u , and the standard deviation, o , of the distribution. a) u = b) o = Here is a list of some cities' population: 74769000, 1500, 76162000, 78176000, 79748000 The mean of these cities' population is The median of these cities' population is Which number, mean or median,...
1. For a normal curve whose mean is 5 with a standard deviation of 1.1 find...
1. For a normal curve whose mean is 5 with a standard deviation of 1.1 find the x-value with 73% of the data to the left of it. 5 %.67 b) 0.61 C) 0.73 d) answer not here 2. The marks on a statistic test are normally distributed with a mean of 62 and a standard deviation of 15. If the instructor wishes to assign B's or higher to the top 30% of the students in the class, what mark...
a) Sketch the area under the standard normal curve over the indicated interval and find the...
a) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the right of z = 1.51 is ____ b) The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 9.5 minutes and a standard deviation of 2.1 minutes. What is...
4 One graph in the figure represents a normal distribution with mean = 11 and standard...
4
One graph in the figure represents a normal distribution with mean = 11 and standard deviation o=2. The other graph represents a normal distribution with mean u = 15 and standard deviation o =2. Determine which graph is which and explain how you know. OOR 11 15 Choose the correct answer below. O A. Graph A has a mean of u = 11 and graph B has a mean of u = 15 because a larger mean shifts the...
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...
Identify which of the following is not a property of the standard normal curve. Choose the...
Identify which of the following is not a property of the standard normal curve. Choose the correct answer below. O A. The mean, median, and mode are all equal to zero. O B. It has inflection points at u 1 20. OC. It is symmetric about its mean of zero, and has standard deviation equal to 1. OD. As the value of z increases, the graph approaches, but never equals, zero.
8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade...
8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade the appropriate region. 1. The area to the left of z 1.04 2. The area between z =-34 and z-1.03 3. Find the area of zz0- 4. Dunlop Tires manufactures a tire with a lifetime that approximately follows a normal distribution with a mean of 70,000 miles and a standard deviation of 4400 miles. a. What proportion of the tires will last for a...
8. (5 points each). If a random variable X is normal with mean u = 95...
8. (5 points each). If a random variable X is normal with mean u = 95 and standard deviation o = 10, find: (“normal” means the shape of the curve, so you must use the table at the end of this exam to find the areas since we are not integrating ) (a) P(X S 110) (b) P(x > 102) (c) P(75 SX 598)
Suppose you take two non-zero displacements represented by vectors A&B. The magnitude of Ais 4 m and the magnitude of Bis 8 m. What is the magnitude of the largest displacement you can end up from the starting point?
QUESTION 5 Which statement concerning the t-distribution is false? O AT follows a standard normal distribution OB. The smaller the degrees of freedom the flatter the curve. OC. The t-distribution has a larger standard deviation than the Standard Normal Curve. OD. T-distributions have a mean of 0. o E. The total area under the density curve depends on the degrees of freedom. QUESTION 6 The t-procedures are robust when A. sample size is 12 and the sample data is not...
(1 point) Consider a normal distribution curve where the middle 75 % of the area under the curve lies above the interval (6, 15). Use this information to find the mean, u , and the standard deviation, o , of the distribution. a) u = b) o = Here is a list of some cities' population: 74769000, 1500, 76162000, 78176000, 79748000 The mean of these cities' population is The median of these cities' population is Which number, mean or median,...
4
One graph in the figure represents a normal distribution with mean = 11 and standard deviation o=2. The other graph represents a normal distribution with mean u = 15 and standard deviation o =2. Determine which graph is which and explain how you know. OOR 11 15 Choose the correct answer below. O A. Graph A has a mean of u = 11 and graph B has a mean of u = 15 because a larger mean shifts the...
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...
Identify which of the following is not a property of the standard normal curve. Choose the correct answer below. O A. The mean, median, and mode are all equal to zero. O B. It has inflection points at u 1 20. OC. It is symmetric about its mean of zero, and has standard deviation equal to 1. OD. As the value of z increases, the graph approaches, but never equals, zero.
8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade the appropriate region. 1. The area to the left of z 1.04 2. The area between z =-34 and z-1.03 3. Find the area of zz0- 4. Dunlop Tires manufactures a tire with a lifetime that approximately follows a normal distribution with a mean of 70,000 miles and a standard deviation of 4400 miles. a. What proportion of the tires will last for a...
8. (5 points each). If a random variable X is normal with mean u = 95 and standard deviation o = 10, find: (“normal” means the shape of the curve, so you must use the table at the end of this exam to find the areas since we are not integrating ) (a) P(X S 110) (b) P(x > 102) (c) P(75 SX 598)
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