A study of women’s weights found that a randomly selected sample of 234 women had a mean weight of 157.3 lb. Assuming that the population

Question

A study of women’s weights found that a randomly selected sample of 234 women had a mean weight of 157.3 lb. Assuming that the population standard deviation is 15.6 lb., construct a 95% confidence interval estimate of the mean weight of all women.

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Vân Khánh 4 years 2021-08-03T11:30:44+00:00 1 Answers 6 views 0

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  1. ngocdiep
    0
    2021-08-03T11:32:20+00:00
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    Answer:

    (155.301 ; 159.299)

    Step-by-step explanation:

    Xbar = 157.3

    Sample size, n = 234

    Population standard deviation, σ = 15.6

    The confidence interval :

    Xbar ± standard Error

    Standard Error = Zcritical * σ/√n

    Zcritical at 95% = 1.96

    Standard Error = 1.96 * (15.6/√234) = 1.999

    Lower boundary : 157.3 – 1.999 = 155.301

    Upper boundary : 157.3 + 1.999 = 159.299

    (155.301 ; 159.299)

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