Each of two comparable classes of 15 students responded to two different methods of

Chapter 9, Problem 9.2-3

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QUESTION:

Each of two comparable classes of 15 students responded to two different methods of instructions, giving the following scores on a standardized test: Class U: 91 42 39 62 55 82 67 44 51 77 61 52 76 41 59 Class V: 80 71 55 67 61 93 49 78 57 88 79 81 63 51 75 Use a chi-square test with = 0.05 to test the equality of the distributions of test scores by dividing the combined sample into three equal parts (low, middle, high)

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QUESTION:

Each of two comparable classes of 15 students responded to two different methods of instructions, giving the following scores on a standardized test: Class U: 91 42 39 62 55 82 67 44 51 77 61 52 76 41 59 Class V: 80 71 55 67 61 93 49 78 57 88 79 81 63 51 75 Use a chi-square test with = 0.05 to test the equality of the distributions of test scores by dividing the combined sample into three equal parts (low, middle, high)

ANSWER:

Step 1 of 4

If we use  and  as dividing mark we note that exactly one-third of the 30 students fall into each of the resulting three sets.

Thus the data can be summarized as follows.

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