IGNOU MTE 3 2018 - Four groups of students were subjected to different teaching technique

Question

Four groups of students were subjected to different teaching techniques and tested at the end of a specified period of time. As a result of dropouts from the experimental groups the number of students varied from group to group. Do the data shown below present sufficient

evidence to indicate a difference in the mean achievement for the four teaching techniques at 0.01 level of significance? What is the conclusion if you fix the level of significance at 0.05?

Group 1	Group 2	Group 3	Group 4
65	75	59	94
87	69	78	89
73	83	67	80
79	81	62	88
81	72	83
69	79	76
	90

02 Feb 2018

Answer :

Word Count : 528

First, we organize the data and note the group sizes: * Group 1: 65, 87, 73, 79, 81, 69 → n₁ = 6 * Group 2: 75, 69, 83, 81, 72, 79, 90 → n₂ = 7 * Group 3: 59, 78, 67, 62, 83, 76 → n₃ = 6 * Group 4: 94, 89, 80, 88 → n₄ = 4 Step 1: Compute the group means $$ \bar{X}_1 = \frac{65 + 87 + 73 + 79 + 81 + 69}{6} = \frac{454}{6} = 75.67 $$ $$ \bar{X}_2 = \frac{75 + 69 + 83 + 81 + 72 + 79 + 90}{7} = \frac{549}{7} \approx 78.43 $$ $$ \bar{X}_3 = \frac{59 + 78 + 67 + 62 + 83 + 76}{6} = \frac{425}{6} \approx 70.83 $$ $$ \bar{X}_4 = \frac{94 + 89 + 80 + 88}{4} = \frac{351}{4} = 87.75 $$ Step 2: Compute the overall mean Total sum = 454 + 549 + 425 + 351 = 1779 Total n = 6 + 7 + 6 + 4 = 23 $$ \bar{X} = \frac{1779}{23} \approx 77.35 $$ Step 3: Compute the sum of squares between groups (SSB) $$ SSB = \sum n_i (\bar{X}_i - \bar{X})^2 $$ * Group 1: $6

_______ _________ ____ ______ _______ _______.
____ ____ ______ ________ ______ ____ _______ __________ ____.
_______ ___ ________ ________ ______ ___ ______ _________ ___ _______ ___.
______ ___ _____ ___ _______ _____ ______ _________ _________ ________ ______.
_________ ___ ____ _______ _________ _________ ______ ___ ______ _________.
__________ _______ ____ ___ __________ _________ ___.
_____ ___ _________ _________ ___ ______ __________ __________ __________ _________ __________ ______.
________ ______ _____ _____ ____ __________ _________ ______ __________ _____ ________ _________.
_______ _________ ________ _________ ________ ________ ________ _________ ________ ________ _________ _________.
_________ ___ _______ ______ _________ ________ ______ __________ _________ __________ ______.
______ _________ _______ ______ __________ ___.
____ ____ _____ __________ ____ ________ ____ ____ ________ ____.
_________ ____ ____ ______ ___ _________ _________ _________ _______ __________ ________ ______.
_________ _____ __________ _____ _____ ___ ______ _________ ___ __________.
_________ _______ ___ __________ ___.
____ ___ _____ _____ ______.
_____ ______ __________ ______ ______.
_____ ________ ___ ________ ________ _________ ________ ________.
___ _________ _____ ____ ______ ____ ______.
______ _______ ______ ________ ______ _____ _________ _______ ______ ______ _________ ___.
_________ _______ _________ _____ _______.
_____ ____ _______ _______ ______ ______ _____ _______ ____ _________ _____ ______.
_______ __________ _________ ______ _______ __________ ____ __________ ___ ____ ____ ___.
_____ ______ ________ _______ ____ ________ _______ ___ ____.
__________ _________ ____ ___ ________ __________ ______ __________.
______ __________ __________ _____ ___ ________ __________ ________ _____.
_______ ________ ________ __________ _______ ___ __________ _______.
_______ _________ _________ ________ _______.
___ ______ ________ _________ _______ ________ ______ _______ ____ ________ _________ ___.
______ _____ __________ __________ __________.
_____ _____ ______ ______ _____ ______ ______ ___ __________ _____ _________ _____.
_________ __________ __________ _________ _________ __________ ___ __________ _________ ___ ______.
_____ _________ _____ _____ ____ ______ _________ __________.
____ _______ _________ ____ ________ ___ ____ __________ ________.
_____ _____ __________ __________ ____ ____ __________ _________ _________ ____ ___.
__________ __________ ___ __________ ___ ____ ________ _____.
_________ __________.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10

Resistance	48 28 33 40 36 39 46 40 30 42 44 48 39 34 47
Failure time	45 25 39 45 36 35 36 45 34 39 51 41 38 32 45

Annual income (thousands of Rs.)	12	13	14	15	16	17	18	19	20
Annual saving (thousands of Rs.)	0.0	0.1	0.2	0.2	0.5	0.5	0.6	0.7	0.8