A biologist takes a random sample of 41 adult pack rats in the desert area surrounding a large preserve and measures the tails of each pack rat. The results (in inches) were used to conduct a t-test using the following hypotheses: H₁ : μ = 2.75 Ha : μ > 2.75 where is the mean tail length in inches for adult pack rats in the area where the sample was taken. The conditions for conducting the test were checked and found to be satisfied. Which of the following is a true statement? (Select all that apply.) t distributions probabilities are easier to calculate so that's why the researchers should use a t-test rather than a z-test Since the population standard deviation was estimated using the sample standard deviation, that's why the researcher should use a t-test. The sample size is large enough to satisfy the Central Limit Theorem. A plot of the sample data is probably reasonably symmetric with no outliers. A type 2 error would be when the sample results led researchers to falsely believe that the population mean tail length is greater than 2.75 inches. S 41 adequate estimate of the standard deviation of the sampling distribution of . is an There are probably more than 410 pack rats in this area, so

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