Illustration 77A normal distribution is known to have the following parameters:Mean==2.5 and n = 1000.25, S.D.Determine the heights of the(iii) 26.5 and (iv) 32.Fordinates of the curve at (i) 19.5, (ii) 21.5

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Answered: Illustration 77 A normal distribution…

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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Find the indicated IQ score. 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. x 0.2525 A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate x, which is to the right of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded and labeled 0.2525. Question content area bottom Part 1 The indicated IQ score is enter your response here. (Round to the nearest whole number as needed.)
Suppose the birth weights of full-term babies are normally distributed with mean 3250 grams and standard deviation o= 500 grams. Complete parts (a) through (c) below. (a) Draw a normal curve with the parameters labeled. Choose the correct graph below. OA. B. A A 2750 3750 2250 3250 3250 4250 G Q Q OC. 2250 3250 4250 X Q 01 O D. A 3250 2750 3750
You are not expected to plot the points from the table. Fitting normal curve for: (i) 1 8. (i) p e 227 -2) (iii) –(x– 2)? (iv) p=2 2m
ats 2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with a mean of 67 inches and standard deviation of 2.5 inches. (a) Graph this normal distribution and label the x-axis. (b) What proportion of these men were between 66 and 68 inches tall? belool vin (c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean height? [Use the normal distribution function in Excel, not the Empirical Rule] (d) What height corresponds to the 95th percentile in the Galton study?
Question 22
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 66 samples is 7.7 ppm with a standard deviation of 1.0 Does the data support the claim at the 0.025 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places. Specify if the test is one-tailed or two-tailed. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Make the decision to reject or fail to reject the null hypothesis.
Only #21
Illustration 19.29. Standard deviations In two samples of size 100 each were found to be 13.9 and 17.6. If population standard deviation is 15, is there any significant difference between two standard devia- tions?
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. i need help with (c), sketching the distribution, (d) and (e)
14:45. (a) For a normal distribution with mean u and standard deviation o, obtain the first and third quärtiles and also the quartile deviation. (b) For a normal distribution with mean 50 and s.d. 15, find Q, and Q3. dial. ao
Based on the computed descriptive statistics, compare the two distributions in terms of their measures of location and measures of dispersions. On the average, which group of students perform better academically in the previous term? Which group varies more? 1st image are the male students and the 2nd image are the female students.

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Illustration 77 A normal distribution is known to have the following parameters: Mean = 25, S.D. = 2.5 and n = 1000. Determine the heights of the (ii) 26.5 and (iv) 32. ordinates of the curve at (i) 19.5, (ii) 21.5