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28 October, 23:30

In a random sample of 34 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 55 months, with a standard deviation of 15 months. Construct and interpret a 95 % confidence interval for the mean length of sentencing for this crime.

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  1. 29 October, 01:31
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    Answer: 49.96 to 60.04

    Step-by-step explanation:

    Since 1 - = 0.95, / 2 = 0.025, and 0.025 = 1.96, the large sample 95% confidence interval

    (55 - 1.96 * 15√34; 55 + 1.96 * 15√34) = (49.96; 60.04).
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