It has been hypothesized that students who exercised at least 3 days per week do better in school than student who exercise less than that. To test this, Dr. ney separated her students into 2 groups—those who exercised 3 or more days per week (Group A) and those who exercised less than that (Group B). She gave them all a 10 point quiz covering hypothesis testing. The data are listed below. Do these data indicate a significant difference between the scores at the .05 level of significance? Group A Group B 7 3 6 9 10 7 8 6 4 8 Group A Group B Total na= nb= Xa = Xb = Ma= Mb = SSa = SSb = dfa= dfb= State the hypotheses in symbols and words Find the critical value of t. First find appropriate df. For this test it is df1 + df2 = ___________ The critical value of t = _ Calculate t The Calculated value of t = Which t- is larger? Do not consider the + or = signs. ______ If the critical value of t is smaller than the calculated value, you will DECIDE to reject the Null hypothesis and CONCLUDE that there is a difference between the means and the treatment made a difference. Make decision State conclusion

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Description: It has been hypothesized that students who exercised at least 3 days per week do better in school than student who exercise less than that. To test this, Dr. ney separated her students into 2 groups—those who exercised 3 or more days per week (Group

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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It has been hypothesized that students who exercised at least 3 days per week do better in school than student who exercise less than that. To test this, Dr. ney separated her students into 2 groups—those who exercised 3 or more days per week (Group A) and those who exercised less than that (Group B). She gave them all a 10 point quiz covering hypothesis testing. The data are listed below. Do these data indicate a significant difference between the scores at the .05 level of significance?

Group A	Group B
7	3
6	9
10	7
8	6
4	8

Group A	Group B	Total
n_a=	n_b=
X_a =	X_b =
M_a=	M_b =
SS_a =	SS_b =
df_a=	df_b=

State the hypotheses in symbols and words

Find the critical value of t. First find appropriate df.

For this test it is df1 + df2 = _____________________

The critical value of t = ___________________

Calculate t

The Calculated value of t = ____________________

Which t- is larger? Do not consider the + or = signs. __________________

If the critical value of t is smaller than the calculated value, you will DECIDE to reject the Null hypothesis and CONCLUDE that there is a difference between the means and the treatment made a difference.

Make decision

State conclusion

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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