a. Name: Ashley L-M Date: 2/10/23 Period: 5 1. Intro to Statistics B Lesson 6.2 Independent...
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a. Name: Ashley L-M Date: 2/10/23 Period: 5 1. Intro to Statistics B Lesson 6.2 Independent Practice To investigate if the sample median is an unbiased estimator of the population median (22.96), 1000 SRSs of size n = 10 were selected from the population described. The sample median for each of these samples was recorded on the dotplot. The mean of the simulated sampling distribution is indicated by an orange line segment. 10 20 30 40 Sample median 50 60 70 a. Does the sample median appear to be an unbiased estimator of the population median? Explain your reasoning. b. What would happen to the sampling distribution of the sample median if the sample size were n = 50 instead? 2. To investigate if the sample minimum is an unbiased estimator of the population minimum (0.2), 1000 SRSs of size n = 10 were selected from the population described. The sample minimum for each of these samples was recorded on the dotplot. The mean of the simulated sampling distribution is indicated by an orange line segment. .... 15 20 25 5 10 Sample minimum Does the sample minimum appear to be an unbiased estimator of the population minimum? Explain your reasoning. b. What would happen to the sampling distribution of the sample minimum if the sample size were n = 5 instead? a. Name: Ashley L-M Date: 2/10/23 Period: 5 1. Intro to Statistics B Lesson 6.2 Independent Practice To investigate if the sample median is an unbiased estimator of the population median (22.96), 1000 SRSs of size n = 10 were selected from the population described. The sample median for each of these samples was recorded on the dotplot. The mean of the simulated sampling distribution is indicated by an orange line segment. 10 20 30 40 Sample median 50 60 70 a. Does the sample median appear to be an unbiased estimator of the population median? Explain your reasoning. b. What would happen to the sampling distribution of the sample median if the sample size were n = 50 instead? 2. To investigate if the sample minimum is an unbiased estimator of the population minimum (0.2), 1000 SRSs of size n = 10 were selected from the population described. The sample minimum for each of these samples was recorded on the dotplot. The mean of the simulated sampling distribution is indicated by an orange line segment. .... 15 20 25 5 10 Sample minimum Does the sample minimum appear to be an unbiased estimator of the population minimum? Explain your reasoning. b. What would happen to the sampling distribution of the sample minimum if the sample size were n = 5 instead?
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