Question
(can someone please explain this to me in the simplest and easiest way, with step-by-step calculations. I'm having a hard time with some of the
(can someone please explain this to me in the simplest and easiest way, with step-by-step calculations. I'm having a hard time with some of the questions). everybody seems to be getting different answers and I'm not sure who to compare mine with.
- When reporting numerical figures, please use one decimal place of accuracy.
Scenario:
All children in the province of Ontario are tested for general intelligence (IQ) in Grade 3 using the current Wechsler Intelligence Scale for Children (WISC-IV). It has been found that the average child in an Ontario school has an IQ of 100.0 ( = 15.0).
A new educational technique is developed which is supposed to aid in the early development of cognitive skills. A program designed to be implemented into the Grade 2 curriculum was developed using the new education technique, and 10 Ontario schools were selected at random to test out this new program. It was theorized that students who participated in this program would score higher than normal on the WISC-IV when they wrote the test the following year.
After completing grade two, a total of 226 children from the test program moved on to grade 3 and were tested for IQ in the standardized Provincial tests. The average intelligence quotient (IQ) of these students was 102.4 (s= 10.0).
Should this study find favorable differences in IQ, the province plans to implement this new educational program in all its schools in the following year.
Questions:
- For this experiment, would you recommend a one-tailed hypothesis, or a two-tailed hypothesis. Explain why? [1]
- State the null and alternate hypotheses (using a full sentence for each). [2]
- Using only the information given in the scenario, which level would you recommend for this study? Explain why you have made this choice. [1]
- What is the critical value of z that should be used for this study? [1]
- Using the information given in the scenario, calculate the z-test statistic. [2]
- Based on the results of your z-test, draw a reasonable conclusion for this study. Report this in both words and the appropriate apa-formatted statistic. (i.e. z(#)= #.#, p (> or <) ) [2]
- Calculate Cohen's d and explain what this statistic tells us about the conclusion you have drawn. [2]
- Based on your responses to questions 6 & 7, what recommendations would you make to the government regarding this new educational program? Should they implement this new program? Are there any other considerations that you feel are important to point out? [2]
Final Question:
Research a phenomenon known as "The Flynn Effect". What would you estimate the average annual increase in intelligence to be based on your research? How could this information be used to modify the null hypothesis you had originally set forth in question 2? Would this change the overall findings in question #6? Please be sure to cite and provide a reference of any sources used.
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