The amount of time taken by students to finish an online test was measured and the lecturer suspects the time follows a normal distribution. The time taken by 54 students to finish the exam was collected as shown in the numeric frequency table.intervalNUMBER OF STUDENTS below 701170-802480-9013above 906TOTAL54The mean was calculated to be 77.6 and standard deviation was 9.15.Use the chi-square goodness of fit test to test, at 1% level of significance that the finishing time follows a normal distribution with mean 77.6 and standard deviation of 9.15.

The chi-square goodness of fit test can be used to determine whether a sample distribution follows…

Answered: The amount of time taken by students to…

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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The amount of time taken by students to finish an online test was measured and the lecturer suspects the time follows a normal distribution. The time taken by 54 students to finish the exam was collected as shown in the numeric frequency table.

interval	NUMBER OF STUDENTS
below 70	11
70-80	24
80-90	13
above 90	6
TOTAL	54

The mean was calculated to be 77.6 and standard deviation was 9.15.

Use the chi-square goodness of fit test to test, at 1% level of significance that the finishing time follows a normal distribution with mean 77.6 and standard deviation of 9.15.

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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