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10 June, 05:17

In monitoring lead in the air after the explosion at the battery factory, it is found that the amounts of lead over a 6 day period had a standard error of 1.93. Find the margin of error that corresponds to a 95% confidence interval. (Round to 2 decimal places) 4.56

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  1. 10 June, 05:23
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    1.54

    Margin of error M. E = 1.54

    Step-by-step explanation:

    Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

    The confidence interval of a statistical data can be written as.

    x+/-zr/√n

    x+/-M. E

    Where M. E = margin of error

    M. E = zr/√n

    Given that

    Standard deviation r = 1.93

    Number of samples n = 6

    Confidence interval = 95%

    z (at 95% confidence) = 1.96

    Substituting the values we have;

    M. E = (1.96*1.93/√6) = 1.544321633166

    M. E = 1.54 (to 2 decimal place)

    Margin of error M. E = 1.54
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