Which of the following is True about the Z-score of an observation?A. The Z-score of an observation is defined as the number of standard deviations from the mean.B. If the observation is twice as large as the mean, its Z-score is 1.C. The Z-score of an observation is a number between 0 and 1.D. If the observation is right at the mean, its Z-score is 1.

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Answered: Which of the following is True about…

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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Previous Question Researchers measured the data speeds for a particular smartphone carier at 50 airports. The highest speed measured was T76 Mbps. The complete list of 50 data speeds has a mean of x 17.47 Mbps and a standard deviation of s 32.99 Mbps. a. What is the dilference between camer's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that (the difference found in part (a)? c Convert the camer's highest data speed to az score. d. If we consider data speeds that convert to z scores between-2 and 2 to be neither significantly low nor significantly high, is the camier's highest data speed significant? a. The difference is Mbps (Type an integer or a decimal Do not round) b. The dilference is standard deviations (Round to two decimal places as needed.) c The z score is z (Round to two decimal places as needed.) d. The camer's highest data speed is
The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
One of the z-score formulas will help on this question. Scores on the SAT test are normally distributed with a mean of 500 and standard deviation of 100 points. Pretend someone scored 400 on the math portion of the SAT test. What would be the z-score cut off for this score? A. 1.0 B. -1.0 C. 0 D. 2.0
How many of the sample of families would fall above 2 standard deviations from the mean?A. 0B. 1C. 2D. 3
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
Which of the following statements is not true? There is only one median for each variable. One definition of the median states that, for an odd number of observations, the median is the middle score when scores are placed in order of magnitude. Another term for the median is 50th percentile. The median is generally more sensitive to (i.e., affected by) the presence of a few extreme observations than is the mean.
A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.63 lb, the mean of all of the weights is x = 2.316 lb, and the standard deviation of the weights is s = 1.087 lb. a. What is the difference between the weight of 5.63 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.63 lb to a z score. d. If we consider weights that convert to z scores between 2 and 2 to be neither significantly low nor significantly high, is the weight of 5.63 lb significant? a. The difference is lb. (Type an integer or a decimal. Do not round.) Clear all Check awer
Suppose the scores on an exam have a mean of 70 with a standard deviation of 10. If one student hasa test result with a z-score of -0.8 and a second student has a test result with a Z-score of 1.8, how many points higher was the second student's score than that of the first? O a. 10 O b. 20 O c. 2.6 O d. 13 O e. 26
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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