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12 March, 22:58

An article in an educational journal discussing a non-conventional high school reading program reports a 95% confidence interval of (520, 560) for the average score on the reading portion of the SAT. The study was based on a random sample of 20 students and it was assumed that SAT scores would be approximately normally distributed. Determine the margin of error associated with this confidence interval.

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  1. 13 March, 02:04
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    The margin of error associated with this confidence interval is 20

    Step-by-step explanation:

    A confidence interval has two bounds, a lower bound and an upper bound. The interval is symmetric, which means that the margin of error is the difference between these two bounds (upper - lower), divided by 2.

    In this problem, we have that:

    Lower bound: 520

    Upper bound: 560

    Determine the margin of error associated with this confidence interval.

    (560 - 520) / 2 = 20

    The margin of error associated with this confidence interval is 20
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