3. Which of the following statements is true about the normal distribution curve?A. The normal distribution curve has a fixed standard deviation of 1.B. The area under the curve is always equal to 1.C. The normal distribution curve is always symmetric about Y axis.D. The area under the curve is always negative.E. The mean of the normal distribution is always greater than the median.F. The mode of the normal distribution is always greater than its median.

We know that a normal distribution is a continuous random variable. 1. For any probability…

Answered: 3. Which of the following statements is…

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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8. Find the z-score corresponding to a score of X = 45 for each of the following distributions. a. µ = 40 and o = 20 b. µ = 40 and o = 10 C. p = 40 and o = 5 d. µ = 40 and o = 2
Decide which of the following statements are True. A.For any normal distribution, the mean, median, and mode are equal.B. The x-axis is a horizontal asymptote for all normal distributions.C. The line of symmetry for a standard normal distribution is x=μ where μ>0.D. The inflection points for any normal distribution are three standard deviations on either side of the mean.
4. Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. z 0.2514 0 A symmetric bell-shaped curve is plotted over a horizontal scale with two labeled coordinates. One coordinate is labeled "0" and is located at the center and peak of the curve. The other coordinate is labeled "z," and is to the left of 0. A vertical line extends from the scale to the curve at z. The area under the curve to the left of z is shaded and labeled “0.2514.” The indicated z score is nothing. (Round to two decimal places as needed.)
Suppose that the average life of a refrigerator before replacement is μ = 15 years with a (68%of data) range from 13 to 17 years. Let x = age at which a refrigerator is replaced. Assumethat x has a distribution that is approximately normal. Find a good approximation for thestandard deviation of x values. Group of answer choices 5 years 2 years 6 years 1 year 3 years
Decide which of the following statements are true. Answer O Normal distributions are symmetric, but they do not have to be bell-shaped. The total area under a normal distribution curve equals 1. The line of symmetry for all normal distributions is x = 0. For any normal distribution, the mean, median, and mode are equal.
prove the theorem
Label the 7 points on the x-axis graph of each of the following curves that correspond to the values -3, -2,–1,0,1, 2,3 on the z-axis: a normal distribution curve with µ=0, o = 4
2. Let X have a standard normal distribution. Find P(X ≧ -0.25)
Which of the following is True about the standard normal distribution? A. The standard normal distribution is a normal distribution with mean of 0 and standard deviation of 1. B. The standard normal distribution is a normal distribution with mean of 1 and standard deviation of 0. C. Only some normal distributions can be standardized to the standard normal distribution. D. The standard normal distribution has a standard error of 0.
Find the z-score location of a vertical line that separates a normal distribution as described in each of the following. 5% in the tail on the left 30% in the tail on the right 65% in the body on the left 80% in the body on the right A normal distribution has a mean of μ = 70 and a standard deviation of σ = 8. For each of the following scores, indicate whether the tail is to the right or left of the score and find the proportion of the distribution located in the tail. X = 72 X = 76 X = 66 X = 60 For a normal distribution with a mean of μ = 60 and a standard deviation of σ = 10, find the proportion of the population corresponding to each of the following. Scores greater than 65. Scores less than 68. Scores between 50 and 70. IQ test scores are standardized to produce a normal distribution with a mean of μ = 100 and a standard deviation of σ =15. Find the proportion of the population in each of the following IQ categories. Genius or near genius: IQ over 140 Very superior…
Determine if the girls’ average score in an exam is higher than 600. The standard deviation of girls’ score is 100. Let α value to be 0.05. The mean score and the population mean is 641 and 600 respectively. The following are the girls’ collected sample score. 650 640 730 510 670 480 780 800 690 530 590 650 620 710 670 490 700 600 510 800
4. Use the t-distribution to find t. values such that following statements are true. a. = 0.95, where df= 16 b. = 0.90, where df= 16 с. = 0.99, where df= 12 d.

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