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1. The average teacher salary in a certain state is $54,101. The standard deviation is $10,190. Find the standard score for each of the following

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1. The average teacher salary in a certain state is $54,101. The standard deviation is $10,190. Find the standard score for each of the following teacher salaries. Show all of your work. Teacher A: $56,236 Teacher B: $36,875 2. Samuel took the SAT and scored a 710 on the verbal section. SAT verbal scores have a mean of 500 and a standard deviation of 100. Ryan took the ACT and scored a 27 on the verbal part. ACT scores are normally distributed with a mean of 18 and a standard deviation of 6. Assuming the two tests measure the same ability, who did better? Justify your answer and show all of your work. 3. Given the following scenario, label the following normal curve with all percentages and values and answer the question below. The mean score of a competency tests is 76 with a standard deviation of 4. What percentage of students scored below an 84%

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