A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 150 students in evening classes and finds that they have a mean test score of 88.8. He knows the population standard deviation for the evening classes to be 8.4 points. A random sample of 250 students from morning classes results in a mean test score of 89.9. He knows the population standard deviation for the morning classes to be 5.4 points. Test his claim with a 99 % level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2. Step 3 of 3: Draw a conclusion and interpret the decision. Answer Tables Keypad Keyboard Shortcuts We reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. O We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. O We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes.

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

A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 150 students in evening classes and finds that they have a mean test score of 88.8. He knows the population standard deviation for the evening classes to be 8.4 points. A random sample of 250 students from morning classes results in a mean test score of 89.9. He knows the population standard deviation for the morning classes to be 5.4 points. Test his claim with a 99% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2.

Step 3 of 3 :

Draw a conclusion and interpret the decision.

A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score
of students in the morning classes. He collects data from a random sample of 150 students in evening classes and finds that they have a mean test score of 88.8. He
knows the population standard deviation for the evening classes to be 8.4 points. A random sample of 250 students from morning classes results in a mean test score of
89.9. He knows the population standard deviation for the morning classes to be 5.4 points. Test his claim with a 99 % level of confidence. Let students in the evening
classes be Population 1 and let students in the morning classes be Population 2.
Step 3 of 3: Draw a conclusion and interpret the decision.
Answer
Tables
Keypad
Keyboard Shortcuts
We reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of
students in the evening classes is lower than the mean test score of students in the morning classes.
We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score
of students in the evening classes is lower than the mean test score of students in the morning classes.
We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of
students in the evening classes is lower than the mean test score of students in the morning classes.
We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test
score of students in the evening classes is lower than the mean test score of students in the morning classes.

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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