Historically, Olympic officials have reported testosterone levels, in general, should be µ = 538 ng/dL, with σ = 189, with x being normally distributed. Summer Olympic sprinters (n = 8) from the U.S. were tested for testosterone levels the morning after the opening ceremonies. Their sample mean was x̄=688 ng/dL. Do these data indicate that the sprinters had an overall average testosterone level greater than 538? Use α = .05. State α, Ho, H1, p-value, rejection, or non-rejection, and be certain to interpret your results.

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Historically, Olympic officials have reported testosterone levels, in general, should be µ = 538 ng/dL, with σ = 189, with x being normally distributed. Summer Olympic sprinters (n = 8) from the U.S. were tested for testosterone levels the morning after the opening ceremonies. Their sample mean was x̄=688 ng/dL. Do these data indicate that the sprinters had an overall average testosterone level greater than 538? Use α = .05.

State α, Ho, H1, p-value, rejection, or non-rejection, and be certain to interpret your results.

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