Interpret the 95% confidence interval for average BMI. What do the lower and upper bounds of the confidence interval tell us?

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Interpret the 95% confidence interval for average BMI. What do the lower and upper bounds of the confidence interval tell us?

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Diễm Kiều 5 months 2021-08-14T01:05:45+00:00 1 Answers 72 views 0

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  1. thienthanh
    0
    2021-08-14T01:07:12+00:00
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    Answer:

    (26.2252 ; 27.3748)

    Step-by-step explanation:

    The confidence interval is given by :

    x ± Margin of error

    The margin of error = Zcritical * (σ/√(n))

    σ = 7.5 ; n = 654

    Zcritical = Zα/2 = 1.96

    The margin of error = 1.96 * (7.5/√654) = 0.5748

    The confidence interval :

    Upper boundary = 26.8 + 0.5748 = 27.3748

    Lower boundary = 26.8 – 0.5748 = 26.2252

    (26.2252 ; 27.3748)

    We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)

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