Which of the following is always true of a normal distribution?I. It extends exactly three standard deviations in each direction from themean.II. The mean equals the median, which equals the mode.II. An interval one standard deviation wide centered at the mean has morearea under the curve than an interval one standard deviation wide centered ata value to the right of the mean.O A. Il and III onlyB. I, II, IIO C. I and II onlyD. I onlyO E. II only

The normal distribution is a continuous distribution, which is symmetric about the mean.

Answered: Which of the following is always true…

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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Cameron had a score of 41 on a physics test. Originally, the mean score was 36 and standard deviation was 2. The professor decides to curve the test so that the new mean is 80 and the new standard deviation is 5. What is Cameron’s new score? Hint: See the last few Z-score lecture slides
Im confused on #1.) Letter C. I already found the 68% range and the 95% range by using the empirical rule. Now it is asking " What percentage of this sample fall bellow 90? With the mean of 78 and standard deviation of 6.
Use the standard normal distribution to compare two other normal distributions. 25. Blood pressure is described by two numbers: systolic pressure and diastolic pressure (measured in mmHg, or millimeters of mercury). For example, a blood pressure of 120/80 denotes a systolic pressure of 120 mmHg and a diastolic pressure of 80 mmHg. A study of 625 persons ages 26 to 45 finds that their blood pressures are normally distributed. Their systolic pressure had a mean of 122 and a standard deviation of 14, and their diastolic pressure had a mean of 83 and a standard deviation of 9. Two study participants are randomly selected and their blood pressures are measured again. The first participant had a systolic reading of 99 mmHg, while the second had a diastolic reading of 70 mmHg. Which participant had the lower reading with regard to the study population? 26. Health experts often consider blood pressure to be elevated if systolic pressure is 140 or greater or the diastolic pressure is 90 or…
Determine whether the graph shown could represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation. 32 35 38 41 44 47 50 53 56 E. The graph could represent a variable with a normal distribution because the curve is symmetric and bell-shaped. Its mean is approximately 44, and its standard deviation is approximately 32. (Round to one decimal place as needed.) Q right. O C. The graph could not represent a variable with a normal distribution because the curve has two modes. O D. The graph could not represent a variable with a normal distribution because the curve crosses the x-axis. O F. The graph could not represent a variable with a normal distribution because the graph is skewed to the left. 4
One graph in the figure represents a normal distribution with mean u= 15 and standard deviation o = 2. The other graph represents a normal distribution with mean u=11 and standard deviation o = 2. Determine which graph is which and explain how you know. A B 11 15 ... Choose the correct answer below. O A. Graph A has a mean of u = 15 and graph B has a mean of u = 11 because a larger mean shifts the graph to the right. O B. Graph A has a mean of u = 11 and graph B has a mean of u= 15 because a larger mean shifts the graph to the left. O C. Graph A has a mean of u = 11 and graph B has a mean of u = 15 because a larger mean shifts the graph to the right. O D. Graph A has a mean of u = 15 and graph B has a mean of u = 11 because a larger mean shifts the graph to the left.
Which of the following are true about the Z-score? Two answers correct. All or nothing credit. 1. It provides a sense of how far an observation is from the mean in terms of the magnitude of the standard deviation. 2. If an observation in a data set has a Z-score of 1.5, the observation is 1.5 standard deviation greater than the mean of the data set. 3. A Z-score of -1 tells us that the average value of the data set is one standard deviation below the mean. 4. The Z-score measures where the observations in a data set are scattered around.
1. Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... 75 A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the left half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 75. 2. Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 83 A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled…
Which of the following are properties of the normal curve? Select all that apply. A. The area under the normal curve to the right of the mean is 0.5 B. The graph of a normal curve is symmetric. 1C. The high point is located at the value of the mean. D. The graph of a normal curve is skewed right. E. The area under the normal curve to the right of the mean is 1. OF. The high point is located at the value of the standard deviation. □□□0口□
Answer number 3
ssume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). Find the following: The Z-value that separates the bottom 18% from the others. The Z-Value for the 95 percentile. What is the IQ score that separates the bottom 18% from the others? The 95 percentile is? A. 113.725 B. -.92 C. 75.325 D. -.915 E. 1.645 F. 86.275 G. 124.675 H. .915
4. Which proportion of a normal distribution is located between the mean and z = +1.40? 5. A vertical line drawn through a normal distribution at z = +2.11 separates the distribution into two sections, the body and the tail. Which proportion of the distribution is in the tail?
The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?

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