8. Find the standard deviation using the following numbers: 36NumberMean40 45Number - mean6110. Draw a normal curve with μ = 110 and a = 5.Sum (E):Divide, then square root. The standard deviation (a) =9. In all the boys of the school, the height of the boys are normally distributed with a mean of 68 inches and astandard deviation of 2.5 inches. Using the empirical rule, determine the interval of heights that representsthe middle 95% of the male heights from the school.a) What percentage is between 110 and 115?b) What interval represents 95%?c) What interval represents 99.7%?

As per our guidelines we are suppose to answer only one question. Given data is 36, 40, 45, 51…

Answered: 3. Find the standard deviation using…

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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# 6- A set of data items is normally distributed with a mean of 90 and a standard deviation of 5. Convert 90 to a z-score.
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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1466 and the standard deviation was 315. The test scores of four students selected at random are 1890, 1210, 2200, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The Z-score for 1890 is. (Round to two decimal places as needed.).
Solve for C)
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Length of snowboards in a boardshop are normally distributed with a mean of 151.6 cm and a standard deviation of 0.7 cm. The figure below shows the distribution of the length of snowboards in a boardshop. Calculate the shaded area under the curve.Express your answer in decimal form accurate to at least two decimal places.
Please sketch the normal curve

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