5 Emily claims that the average number of runners per minute passing a shop during a long distance run is 8
Emily conducts a hypothesis test to investigate her claim.
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- State the hypotheses for Emily's test.
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- Emily counts the number of runners, \(X\), passing the shop in a randomly chosen minute.
The critical region for Emily's test is \(X \leq 2\) or \(X \geq 14\)
During a randomly chosen minute, Emily counts 3 runners passing the shop.
Determine the outcome of Emily's hypothesis test.
5 - The actual average number of runners per minute passing the shop is 7
Find the power of Emily's hypothesis test, giving your answer to three significant figures.