Question

One group of accounting students took a distance learning class, while another group took the same course in a traditional classroom. At α = .10, is there a significant difference in the mean scores listed below?

Statistic	Distance		Classroom
Mean scores	x⎯⎯1x¯1	= 9.7	x⎯⎯2x¯2	= 10.9
Sample std. dev.	s1	= 2.7	s2	= 2.5
Number of students	n1	= 21	n2	= 21

(a) consider following hypotheses. Assume μ₁ is the mean score of distance learning and μ₂ is the mean score of classroom learning.

b. H₀: μ₁ – μ₂ = 0 vs. H₁: μ₁ – μ₂ ≠ 0


(b) Specify the decision rule. (Round your answers to 3 decimal places. A negative value should be indicated by a minus sign.)

Reject the null hypothesis if t_calc <  or t_calc >  .

(c) Find the test statistic t_calc. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.)

t_calc          



(e-1) Use Excel to find the p-value. (Round your answer to 3 decimal places.)

p-value          

Answer 1

Two tailed test

Degrees of Freedom:

Critical value:

   …………………..….using t table

Reject the Null Hypothesis, If tcal < -1.685 or tcal > 1.685

C)

Test statistic:

Conclusion:

So, Here Test statistic is lies in the Acceptance region, i.e. -1.685 < -1.4945 < 1.685, That is Fail to Reject Ho at 10% level of significance.

Using P-value Method:

P-value = 0.143        ..............Using t table

P-value > 0.10, That is Fail to Reject Ho at 10% level of significance.

Therefore, there is No Significant difference in the mean score listed.

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ta/2,df = t0.10/2,39 +1.685

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