6. A population has a mean of µ = 80 and a standarddeviation of o = 20.%3Da. Would a score of X = 70 be considered anа.extreme value (out in the tail) in this sample?b. If the standard deviation were o =5, would ascore of X = 70 be considered an extreme value?

We have given that, For part (a) Let X be random variable from normal distribution with mean (μ) =…

Answered: 6. A population has a mean of u = 80…

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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T1.Q3) A university class ckntained 60 female students. they were asked to report their hieghts (in cm), with the following results. n=60 mean=163.39 standard deviation=8.68 1) within what range would you expect 95% of the heights to lie? 2) Find the z-score of Jenny, a female student whose height is 155.22cm. Approximately how many students are shorter than Jenny? 3) Tina has a height of 195cm. what is her z- score? Approimately how many students in the class do you think would be taller than Tina?
Sketch the normal curve having the parameters a. µ = -1 and σ = 2.b. µ = 3 and σ = 2.c. µ = -1 and σ = 0.5.
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7.
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 sketchng the distribution, (d) and (e)
1) The speed of 100 cars was measured on a road with a speed limit of 90 km/h. The data was found to be approximately normal with a mean of 88 km/ h and standard deviation of 1.0km/h. a) How many cars were driving at a speed between 87km/h and 89km/h? b) How many vehicles were fined between 90km/h and 91km/h for exceeding the speed limit?
Kk.326.
Ex. 4. The mean and standard deviation of the marks obtained by 1000 students in an examination are respectively 34.5 and 16.5. Assuming the normality of the distribution, find the approxiamte number of students expected to obtain marks between 30 and 60.
A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters are listed. 3.8) 65.401 65.402 65.406 65.396 65.405 65.396 65.401 65.404 Calculate (a) the line's most probable length, (b) the standard deviation, and (c) the standard deviation of the mean for each set of results.
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

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6. A population has a mean of u = 80 and a standard %3D deviation ofo = 20. a. Would a score of X = 70 be considered an %3D extreme value (out in the tail) in this sample? b. If the standard deviation were o = 5, would a score of X = 70 be considered an extreme value? %3D