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Mathematics, 23.04.2021 21:00 Lingz

Select all studies or experiments in which the results might have been skewed by a bias or improper sampling. a survey of science fiction film fans found approximately 95% of fans had a z-score between -2 and 2 a national survey conducted by polling 100 users at a popular website a statewide study on highway maintenance that resulted in a large standard deviation around the mean a study on fish length correlated to size of living environment, where 30% of the sample had a z-score greater than 2 a survey of a high school's graduating class of 428 students conducted on 100 randomly selected seniors a study of the freezing temperature of a new compound found a small standard deviation around the mean To determine which of the options might have been skewed by bias or improper sampling, evaluate each situation. If a statewide study on highway maintenance that resulted in a large standard deviation around the mean, this indicates a large variation in the sample data which could be caused by an error in sample size. Consider a national survey conducted by polling 100 users at a popular website. This would clearly cause a skew in the data as the population of the United States is millions of times larger than the sample size. Also, having the survey base be determined by users of a specific website will skew the data in favor of users. In a properly distributed sample, only 2.5% of a sample is anticipated to have a z-score greater than 2. This implies an issue with a study on fish length correlated to size of living environment, where 30% of the sample had a z-score greater than 2.

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