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4.) ACT composite scores are normally distributed with a u = 21. Asample of 25 students is randomly selected from a local high school with an X = 23 ands = 5.2. Do the data support the claim that the average ACT composite score of students from this high school isdifferent than 21 on the ACT composite score, using. a =.05?5.) Nationwide, the average total amount of student loan debt in 2012 is normally distributed with a p= \$29,400. Assume that a sample of 36 students is randomly selected from a public university. Their student loans have X = \$27,400 and s=\$9,000. Conduct a proper statistical procedure to test whether the average student loan in this public university is different from \$29,400, using a =.10.6.) SAT verbal scores are normally distributed with a u = 500. A local high school has instituted a new program to engage students in reading. A sample of nine students from this high school is randomly selected following their participation in this reading program and their SAT verbal scores were reported:600760550505660540480535455Is the sample mean significantly different from the population mean?MathStatistics and Probability

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