A researcher was interested in the effects of verbal praise on the ability of preschool children to copy geometric forms. So, she randomly selected thirty children from two preschools and randomly assigned them into two groups, experimental (n=15) and control (n=15). The children were asked to reproduce 10 equally complex forms. The overall accuracy of each child’s reproductions was judged on a scale from 0 to 10, with 10 considered very accurate. During the task the children in the experimental group received encouraging words such as “good”, “excellent”, “beautiful”, and so on, throughout the test period. The children in the control group did not receive any encouraging words or praise. The average accuracy rating for the experimental group was 7.5 (variance of .5). The control group had an average accuracy rating of 3.5 (variance of 1). (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the two means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A researcher was interested in the effects of verbal praise on the ability of preschool children to copy geometric forms. So, she randomly selected thirty children from two preschools and randomly assigned them into two groups, experimental (n=15) and control (n=15). The children were asked to reproduce 10 equally complex forms. The overall accuracy of each child’s reproductions was judged on a scale from 0 to 10, with 10 considered very accurate. During the task the children in the experimental group received encouraging words such as “good”, “excellent”, “beautiful”, and so on, throughout the test period. The children in the control group did not receive any encouraging words or praise. The average accuracy rating for the experimental group was 7.5 (variance of .5). The control group had an average accuracy rating of 3.5 (variance of 1). (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the two means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?
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