Exam 11: Inference for a Normal Population

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The t-test is very sensitive to deviations from normality in the population sampled, especially for large sample sizes.

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In tables of critical t-values, what value of t would correspond to the location with 99% of the distribution less and 1% of the distribution greater when there are 13 degrees of freedom?

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Consider an experiment in which Shireen measures 20 Arabidopsis plants in a pasture that an agricultural company claims have an average height of exactly 23 cm. Her plants have a mean of 24.53 cm with a standard deviation of 2.33 cm, however. Based on her t-test statistic, which of the following best describes her conclusion?

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For a sample of 13 values that has a mean of 5.6 with a standard deviation of 0.7, what would the 99% confidence interval be?

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We must use the t-distribution instead of the Z-distribution to calculate probabilities for real- world data sets because of what reason?

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Consider a situation in which Rosa measures the diameter of 15 trees from a population that she thinks (based on published reports) has an average diameter of 240 cm. Her sample has a mean of 253.1 cm with a standard deviation of 25.21 cm. Based on her t-test statistic, which of the following best describes her conclusion?

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