Answered: Pick the correct answer and give some…

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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Pick the correct answer and give some explaination, i make it as one question becase its have simple asnwer

A bank manager claims that there has been a change in the waiting time to be served by customer services. Previously, the average waiting time was 15 minutes. Someone wants to prove and test the manager's statement with a significance level of α. The critical areas for such testing are:

Z ≤-Z alpha/2 and Z ≥ Z alpha/2
Z > -Z alpha and Z <Z alpha
Z > -Z alpha/2 and Z < Z alpha/2
Z < -Z alpha and Z > Z alpha

Suppose that a bag of cement has weight that are normally distributed with a mean of 50 kg and a standard deviation of 1 kg. If a random sample of ten bags of cement is taken, the sample mean of the bag weight:

Will be equal to 50.
Is equally likely to be smaller or larger than 50
Is more likely to be larger than 50 than smaller than 50
Is less likely to be larger than 50 than smaller than 50

In testing a hypothesis of two population means, if the t distribution is used, which of the following assumptions is required?

The standard deviations are not the same.
The sample sizes are equal.
Both population means are the same.
Both populations are normally distributed

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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