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please answer with the data provided The data you will be analyzing is on educational transitions for a sample of Irish schoolchildren aged 11 in

please answer with the data provided

The data you will be analyzing is on educational transitions for a sample of Irish schoolchildren aged 11 in 1967. Focus on the variable DVRT (Drumcondra Verbal Reasoning Test Score) only. Using the data provided, answer the following questions and provide the requested analysis.

1) Construct a dot plot depicting the distribution of DVRT scores in the sample.

2) Based on the dot plot constructed in part (1), is it reasonable to conclude the DVRT scores follow a Normal distribution? Justify your answer.

3) Assume the population variance is 200. Construct a 90% Confidence Interval for the mean DVRT score in the population.

4) Calculate the precision of the 90% Confidence Interval for the mean DVRT scores constructed in part (3).

5) Still assuming the population variance is 200. How many students would need to be sampled in order to achieve a precision of 1 at a level of confidence of 95%?

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