Typically, only very brave students are willing to speak out in a college classroom. Student participation may be especially difficult if the individual is from a different culture or country. The article “An Assessment of Class Participation by International Graduate Students” (Journal of College Student Development) considered a numerical “speaking-up” scale, with possible values from 3 to 15 (a low value means that a student rarely speaks). For a random sample of 64 males from Asian countries where English is not the official language, the sample mean and standard deviation were 8.75 and 2.57, respectively. Suppose that the mean for the population of all males having English as their native language is 10 (suggested by data in the article). We want to find whether the population mean for males from non-English speaking Asian countries is smaller than 10. A) State the sign of the alternative hypothesis. _________ (type one of these 3 choices: greater than, less than, or not equal) B) Calculate the test statistic for the test above. (round test statistic to 2 decimal places) _ C) What is the cutoff for the rejection region for this test? Use significance level 0.05 (round to 2 decimal places) _ D) What's your decision on the hypothesis test above? Use significance level 0.05. (type Reject for Reject Ho, type FTR for Fail to Reject Ho) _________

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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Typically, only very brave students are willing to speak out in a college classroom. Student participation may be especially difficult if the individual is from a different culture or country. The article “An Assessment of Class Participation by International Graduate Students” (Journal of College Student Development) considered a numerical “speaking-up” scale, with possible values from 3 to 15 (a low value means that a student rarely speaks). For a random sample of 64 males from Asian countries where English is not the official language, the sample mean and standard deviation were 8.75 and 2.57, respectively. Suppose that the mean for the population of all males having English as their native language is 10 (suggested by data in the article). We want to find whether the population mean for males from non-English speaking Asian countries is smaller than 10.

A) State the sign of the alternative hypothesis. _________________
(type one of these 3 choices: greater than, less than, or not equal)

B) Calculate the test statistic for the test above. (round test statistic to 2 decimal places) _________________

C) What is the cutoff for the rejection region for this test? Use significance level 0.05 (round to 2 decimal places) _______________

D) What's your decision on the hypothesis test above? Use significance level 0.05.
(type Reject for Reject Ho, type FTR for Fail to Reject Ho) _______________

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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