I dont get this question2 because it is asking \"assume the equal variance\"....

Question

I dont get this question2 because it is asking "assume the equal variance".... can a expert also explain what this mean as equal variance?

Thank you!!

(12 marks 2+2+3+2+2+1) This question is a continuation of Question 1 Regardless of your conclusion to the hypothesis test in Question 1, in this question assume the equal variances of reading comprehension scores for the two teaching methods Test for equality of the two means, by answering the questions that follow. Put only final answers in the chart. Use the space below the chart for rough work. State the null and alternative hypotheses. Question 1 What is the pooled estimated of standard deviation, sp. 1. (10 marks 2+2+2+1+3) Two methods of teaching reading were applied to two randomly selected groups of children and then compared on the basis of a reading comprehension test given at the end of the period of instruction. Summary statistics are shown in the table below What is the test statistic? Name the reference distribution. Include degrees of freedom, if necessary Method A 64 52 What is an approximate p-value (this may be a range of possible values) MethodB69 71 Test Ho :o,-o, against Ha :o,

Explanation / Answer

Statistical tests, such as analysis of variance (ANOVA), assume that although different samples can come from populations with different means, they have the same variance. Equal variances(homoscedasticity) is when the variances are approximately the same across the samples.

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