It is believed that the normal level of testosterone in blood is normally distributed with mean \(25

Question

It is believed that the normal level of testosterone in blood is normally distributed with mean $25$ nmol/l and standard deviation $5.7$ nmol/l. Following a swimming competition, Joe Sueling gives five samples of blood with mean level of testosterone of $32$ nmol/l. Joe Sueling will be disqualified if his testosterone level is higher than the normal level.

Test at $7\%$ level of significance whether Joe Sueling will be disqualified.

Accepted Answer

$p$-value $=0.003$; Reject ${{H}_{0}}$, He is disqualified.

Classical Hypothesis and P-value Methods

Classical Hypothesis and P-value Methods

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