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1. A. Find the z score for a score of 144 on a test with a mean of 128 and a standard deviation of
1. A. Find the z score for a score of 144 on a test with a mean of 128 and a standard deviation of 34. Round out two decimal places. 2. B. Find the z score for a score of 90 on a test with a mean of 86 and a standard deviation of 18. Round out two decimal places. 3. C. Find the z score for a score of 18 on a test with a mean of 15 and a standard deviation of 5. Round out two decimal places. 4. Of the three Z scores you just calculated, which is the biggest? (A, B, or C?) 5. Using the following population dataset, we will find the Z score for the two bolded numbers and describe what percentile they fall closest to. Step 1: What is the mean of this dataset? 11 13 9 9 10 12 9 10 8 9 6. Step 2: What is the sum of squares (the top part of the standard deviation formula fraction)? 7. Step 3: What is the standard deviation of this dataset? (round out two decimal places) 8. Step 4: What is the Z score for the data point 12? (round out two decimal places) 9. Step 5: Looking at the bell curve below, what percentile does the z score for 12 fall closest to? Normal, Bell-shaped Curve .13% 2.14% 13.59% 34.13% 34.13% 13.59% 2.14% .13% -40 -30 -20 -10 0 +10 +20 +30 +40 | 0.1% 2.3% 15.9% 50% 84.1% 97.7% 99.9% 10. Step 6: What is the Z score for the data point 10? (round out two decimal places) 11. Step 7: Looking at the bell curve below, what percentile does the z score for 10 fall closest to?
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