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An extensive study in Antarctica concluded that the mean height of adult emperor penguins in...

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An extensive study in Antarctica concluded that the mean height of adult emperor penguins in the wild is 44 5 in Cassandra believes that captive emperor penguins have a greater mean height due to better nutrition To test this idea she decides to conduct a one sample t test to see if the mean height of captive emperor penguins is greater than 44 5 in She selects a simple random sample of 26 penguins from different zoos around the country and has each penguin measured The summary statistics of the sample are given below Sample size n 26 Sample mean x 45 6 in Sample standard deviation S 4 3 in The heights of emperor penguins are normally distributed and there are no outliers in the sample Construct the null and alternative hypothesis for the appropriate one sample t test for the mean height of captive emperor penguins Ho H

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