Statistics > EXAM > Summary Handbook Statistics Final Exam (CIS) Questions and Answers 2023 (All)
The distribution of the scores on a certain exam is N(40,10), which means that the exam scores are Normally distributed with a mean of 40 and standard deviation of 10. a. Sketch the curve and label... , on the x-axis, the position of the mean, the mean plus or minus one standard deviation, the mean plus or minus two standard deviations, and the mean plus or minus three standard deviations. b. Find the probability that a randomly selected score will be lessless than 30. Shade the region under the Normal curve whose area corresponds to this probability. - -A. se picture B. Using the Empirical Rule, the probability that a randomly selected score will be lessless than 30 is about 16%. -A biologist is studying the effects that applying insecticide to a fruit farm has on the local bat population. She collects 23 bats and finds the mean weight of this sample to be 503.4 grams. Assuming the selected bats are a random sample, she concludes that because the sample mean is an unbiased estimator of the population mean, the mean weight of bats in the population is also 503.4 grams. Explain why this is an incorrect interpretation of an unbiased estimator. - -Having an "unbiased" estimator means that the mean of the means of all possible samples of the same size would be the same as the population mean. [Show More]
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