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 Sample mean n = 26 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. H₁: = Ho:

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