Fill in the space.1. What percentage of the values in a normal distribution are greater than the mean but lessthan two standard deviations above the mean?2. You can completely describe a normal distribution by two numbers, theand the3. A normal curve is symmetric about the mean, which tells us that the value of the meanequals the value of theand equals the value of the4. What is the area under the curve of a normal distribution between one and threestandard deviations below the mean?5. What is the probability of a z value between -2.81 and -1.14?6. What is the probability of a z value greater than -0.81?.7. What is the probability of a z value less than -2.39 or greater than 1.26?Circle the best answer for each of the following:8. Suppose that a Normal model described student scores in a history class. Johnson has astandardized score (z-score) of +2.5. This means that JohnsonA. is 2.5 points above average for the classB. is 2.5 standard deviations above average for the classC. has a standard deviation of 2.5D. has a score that is 2.5 times the average for the classE. None of the above9. Let X represent a random variable whose distribution is Normal with a mean of 100 and astandard deviation of 10. Which of the following is equivalent to P(X > 115)?A. P(X < 115) B. P(X < 115)с. Р(Х < 85)D. P(85 < X < 115)E. 1- P(X < 85)10. The weights of professional football players are approximately normally distributed with amean of 245 lbs. with a standard deviation of 20 lbs. If Parker is at the 80th percentile inweight for football players, which of the following is closest to his weight in pounds?А. 265В. 255с. 252D. 270E. 262

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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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espectively 42 and 36. Find the Coefficient of Variation. 7.10. Pearson's measure of skewness of a distribution is 0:5. Its median and mode ar noltule? defi retre ...(
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…
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?
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about ? = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 32 25 42 34 32 39 31 I need help with sketching the distribution (d) and (e)
The Z-score tells you the number of standard deviations away from the mean (and X-μ can be used to find the in what direction) a data value is. The formula: Z Z-score for a single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. σ The formula X = μ+Z. can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A…
II. Solving, Show your solution. 9-10. IQ scores are normally distributed with a mean of 135 and a standard deviation of 15 w Z-score corresponds to an IQ score of 100? For numbers 11-14. Find the area of the following under the normal curve then graph. 11-12. To the right of z = -0.52 13-14. Betweenz = 0.41 and z = 1.25 ERA
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Answer the question. Show all the steps, not only the final answer. if possible, sketch a little diagram to clearly see the area under the normal curve. 1. A major research study concluded that the mean number of times that adolescents had engaged in vandalism during the previous 12 months was 3.5 times. We believe the true population mean to be less than this. After collecting our own sample of 36 adolescents, we find that the mean number of times they have vandalized property during a l-year period wasX̅ = 2.9 with a standard deviation equal to .7. Perform all ofthe procedures necessary for conducting a hypothesis test based on our assumption. What do you conclude? Set your alpha level at .05.
please answer all subparts
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 relative to the standard deviation. 2. An observation is generally considered an outlier if its Z-score is more than 3 or less than -3. 3. The Z-score measures where the observations in a data set are scattered around. 4. A Z-score of -1 tells us that the average value of the data set is one standard deviations below the mean.

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