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11 September, 20:55

The area of a parking lot is calculated to be 5,474 ft2 with an estimated standard deviation of 2 ft2. What is the Maximum Anticipated Error? There is a 90% chance that the error range will be what?

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  1. 11 September, 21:58
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    Answer: There is a 90% chance that the error range will be with in 3.29 ft².

    Step-by-step explanation:

    Given : The area of a parking lot is calculated to be 5,474 ft².

    Estimated standard deviation = 2 ft²

    The critical z-value for 90% confidence interval is 1.645 (from z-table)

    Then, the Maximum Anticipated Error = (critical z-value) x (standard deviation)

    = 1.645 (2) = 3.29 ft²

    i. e. Maximum Anticipated Error = 3.29 ft²

    Hence, there is a 90% chance that the error range will be with in 3.29 ft².
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