Assume you have two normally distributed samples, each with a sample size of 70. The Mean (StDev) of samples 1 and 2, respectively, are 300 (15) and 210 (8). Every single score in the first sample is higher than every score in the second sample. Assume all scores are whole numbers. If the highest score in the second sample is moved to the first sample...

1- What happens to the value of the z score of the new mean of sample 1, compared to the value of the z score of the old mean of sample 1 (before the one score was moved from sample 2)? (Assume z scores are only calculated on sample 1, and that the ‘before’ and ‘after’ calculations were done separately, using only the appropriate data.)

2- What happens to the z score of a person in sample 2 with a raw score of 205, compared to their original z score? (Assume z scores are only calculated on sample 2, and that the ‘before’ and ‘after’ calculations were done separately, using only the appropriate data.)

3- What happens to the z score of a person who originally had the second-highest score in sample 2, compared to their original z score? (Assume z scores are only calculated on sample 2, and that the ‘before’ and ‘after’ calculations were done separately, using only the appropriate data.)

4- What happens to the standard deviation of all z scores for sample 1, compared to the original standard deviation of all z scores for sample 1? (Assume z scores are only calculated on sample 1, and that the ‘before’ and ‘after’ calculations were done separately, using only the appropriate data.)

5- What happens to the value of the z score of the person who was moved from sample 2 to sample 1? (Assume z scores are calculated on each sample separately (i.e., on sample 2 before and on sample 1 after the data point is moved), using only the appropriate data.)

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