Researchers wish to investigate whether the number of goldfish gill movement in 25°C differs from 70 per minute. Using a random sample of 15 independent goldfish they observe sample mean $\bar{x} = 71.46$ and sample standard deviation $s = 2.8$. Assume the number of goldfish gill movement is normally distributed. Is this sample evidence likely or unlikely to occur, if in fact $H_0: \mu = 70$ is true?
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Step 1: We need to calculate the t-statistic using the formula: t = (x - μ) / (s / √n) where x is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size. Show more…
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