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16 July, 07:18

If, on average, each person fishing in your local lake catches 3.5 fish per fishing trip, with a standard deviation of 1.2, what are the mean and standard error for a sampling distribution of 30 fishing trips

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  1. 16 July, 10:55
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    Mean of sampling distribution=3.5

    Standard error of sampling distribution=0.219

    Explanation:

    We know that

    The average of catching fish per fishing trip=μ=3.5

    and

    The standard deviation of catching fish per fishing trip = σ=1.2.

    We have to find the mean and standard error of sampling distribution of 30 fishing trips i. e. μxbar=? and σxbar=?

    Mean of sampling distribution=μxbar=μ=3.5

    Standard error of sampling distribution=σxbar=σ/√n

    Standard error of sampling distribution=σxbar=1.2/√30

    Standard error of sampling distribution=σxbar=1.2/5.4772

    Standard error of sampling distribution=σxbar=0.219

    Thus, the mean and standard error for a sampling distribution of 30 fishing trips are 3.5 and 0.219.
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