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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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Question

Answer the following problems with random samples taken from the normal population.

(The choices are attached)

1. The national average percentage score of Grade 6 in National Achievement Test (NAT) recently for Math subject is 36.66 with a standard deviation of 3.57. If a random sample of 200 scores were selected, what is the probability that the sample average percentage score is higher than 45%?

2. Kyle has a collection of more than 300 songs in his phone that has a mean duration of 2.75 minutes and a standard deviation of 0.6 minutes. Suppose that every week he makes a playlast by taking random sample of 36 of these songs, calculate the sample mean duration of the songs and the standard error of the sampling distribution of the sample means.

3. Suppose that students who finished JHS in a public school get an average of 5.6 hours of sleep each night with a standard deviation of 1.7 hours. What is the probability that a random selected group of 35 public school students get more than 6 hours of sleep, on the average each night?

Kindly answer please. I'll give rate. Thanks.

3,600
4,000
25.36%
0%
2.75; 0.10
Not among the choices
3.78; 0.15
33.40%

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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