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20 March, 13:44

A certain type of hummingbird is known to have an average weight of 4.55 grams. A researcher believes that hummingbirds (of this same type) living in the Grand Canyon differ in weight from the population as a whole. The researcher finds a sample of 30 such hummingbirds from the Grand Canyon and calculates their average weight to be 3.75 grams.

A. H0:?<4.55, HA:?=4.55

B. H0:x=4.55, HA:x<4.55

C. H0:?=4.55, HA:?4.55

D. H0:?=3.75, HA:?3.75

E. H0:?=4.55, HA:?<4.55

F. H0:x=3.75, HA:x>3.75

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Answers (1)
  1. 20 March, 13:58
    0
    Null Hypothesis; H0 : μ = 4.55

    Alternative Hypothesis; HA:μ ≠ 4.55

    Step-by-step explanation:

    Let μ be the population mean weight of hummingbirds who live in the Grand Canyon.

    We are told that A certain type of hummingbird is known to have an average weight of 4.55 grams.

    The 3.75 grams is just a sample mean of 30 humming birds and not the entire population, therefore, it has no relation with establishment for the null hypothesis and alternative hypothesis.

    Thus;

    μ = 4.55.

    So the hypotheses will be;

    Null Hypothesis; H0 : μ = 4.55

    Alternative Hypothesis; HA:μ ≠ 4.55
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