According to a recent reporting on a standardized test, the average math score for students in a particular state was 558. Assume the scores are Normally distributed with a standard deviation of 102. Answer parts (a) through (c) below including an appropriately labeled and shaded Normal curve for each part. The percentage that scored between 600 and 651 is 15.9%. (Round to one decimal place as needed.) c. Suppose students who scored in the top 5% of test takers in the state were eligible for a special scholarship program. What score would qualify students for this scholarship program? A score of would qualify them for this program. (Round to the nearest integer as needed.)
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We can use a z-table or calculator to find this value. The z-score corresponding to the top 5% is approximately 1.645. Now, we can use the z-score formula to find the corresponding test score: z = (X - Ī¼) / Ļ where z is the z-score, X is the test score, Ī¼ is Show moreā¦
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According to recent reporting on a standardized test, the average math score for students in a particular state was 558. Assume the scores are Normally distributed with a standard deviation of 102. Answer parts (a) through (c) below including an appropriately labeled and shaded Normal curve for each part. The percentage that scored between 600 and 651 is 15.9%. (Round to one decimal place as needed.) c. Suppose students who scored in the top 5% of test takers in the state were eligible for a special scholarship program. What score would qualify students for this scholarship program? A score of would qualify them for this program. (Round to the nearest integer as needed.)
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