Two groups of students are tested after two types of instruction. Student Group 1 receives traditional instruction and Student Group 2 receives modified instruction. Below are the t-test results: t-Test: Two-Sample Assuming Equal Variances Students 1 Students 2 Mean 15.3 16.9 Variance 4.9 2.766666667 Observations 10 10 Pooled Variance 3.833333333 Hypothesized Mean Difference 0 df 18 t Stat -2.82732877 P(T<=t) one-tail 0.042139087 t Critical one-tail 1.734063607 P(T<=t) two-tail 0.034278174 t Critical two-tail 2.10092204 What is the null hypothesis? Use the two-tail probability. Is there a difference between the group of students in group 1 and students in group 2? In a sentence or two, describe the results in terms of the statistics as you would for an academic article.

Two groups of students are tested after two types of instruction. Student Group 1 receives traditional instruction and Student Group 2 receives modified instruction. Below are the t-test results: t-Test: Two-Sample Assuming Equal Variances Students 1 Students 2 Mean 15.3 16.9 Variance 4.9 2.766666667 Observations 10 10 Pooled Variance 3.833333333 Hypothesized Mean Difference 0 df 18 t Stat -2.82732877 P(T<=t) one-tail 0.042139087 t Critical one-tail 1.734063607 P(T<=t) two-tail 0.034278174 t Critical two-tail 2.10092204 What is the null hypothesis? Use the two-tail probability. Is there a difference between the group of students in group 1 and students in group 2? In a sentence or two, describe the results in terms of the statistics as you would for an academic article.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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What is meant by the sample space of an experiment?
Two groups of students are tested after two types of instruction. Student Group 1 receives traditional instruction and Student Group 2 receives modified instruction. Below are the t-test results: t-Test: Two-Sample Assuming Equal Variances Students 1 Students 2 Mean 15.3 16.9 Variance 4.9 2.766666667 Observations 10 10 Pooled Variance 3.833333333 Hypothesized Mean Difference 0 df 18 t Stat -2.82732877 P(T<=t) one-tail 0.042139087 t Critical one-tail 1.734063607 P(T<=t) two-tail 0.034278174 t Critical two-tail 2.10092204 What is the null hypothesis? Use the two-tail probability. Is there a difference between the group of students in group 1 and students in group 2? In a few sentences, describe the results in terms of the statistics as you would for an academic article.
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t-Test: Two-Sample Assuming Equal Variances

	Students 1	Students 2
Mean	15.3	16.9
Variance	4.9	2.766666667
Observations	10	10
Pooled Variance	3.833333333
Hypothesized Mean Difference	0
df	18
t Stat	-2.82732877
P(T<=t) one-tail	0.042139087
t Critical one-tail	1.734063607
P(T<=t) two-tail	0.034278174
t Critical two-tail	2.10092204