A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of pounds. Assume that the population of weight

Question

A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is less than pounds. Do the data provide convincing evidence that the pediatrician’s claim is true

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Neala 4 years 2021-08-11T18:27:06+00:00 1 Answers 54 views 0

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    2021-08-11T18:28:59+00:00

    Answer:

    Paedtricians claim isn’t true.

    Step-by-step explanation:

    The hypothesis :

    H0 : σ = 7

    H0 : σ > 7

    The test statistic ; χ² :

    χ² = [(n – 1) * s²] ÷ σ²

    n = 25 ; s = 4.3, σ = 7

    χ² = [(25 – 1) * 4.3²] ÷ 7²

    χ² = [(24 * 4.3²] ÷ 49

    χ² = 443.76 / 49

    χ² = 9.056

    At α = 0.01 ; critical value = 42.980

    Since critical value > test statistic, we fail to reject the null, H0.

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