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- https://stats.libretexts.org/Workbench/Statistics_for_Behavioral_Science_Majors/06%3A_Confidence_Intervals_for_One_Population/6.04%3A_Z-Interval_for_a_MeanIf the sample size is “large” (n ≥ 30) the Central Limit Theorem guarantees that the sampling distribution of the mean will be normally distributed no matter how the population distribution is distrib...If the sample size is “large” (n ≥ 30) the Central Limit Theorem guarantees that the sampling distribution of the mean will be normally distributed no matter how the population distribution is distributed. It is easier to deal with the positive z-score so use the z to the right of the mean which would have 1 – \(\alpha\)/2 = 0.975 area.
- https://stats.libretexts.org/Workbench/Introduction_to_Statistical_Methods_(Yuba_College)/08%3A_Confidence_Intervals_for_One_Population/8.04%3A_Z-Interval_for_a_MeanIf the sample size is “large” (n ≥ 30) the Central Limit Theorem guarantees that the sampling distribution of the mean will be normally distributed no matter how the population distribution is distrib...If the sample size is “large” (n ≥ 30) the Central Limit Theorem guarantees that the sampling distribution of the mean will be normally distributed no matter how the population distribution is distributed. It is easier to deal with the positive z-score so use the z to the right of the mean which would have 1 – \(\alpha\)/2 = 0.975 area.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Mostly_Harmless_Statistics_(Webb)/07%3A_Confidence_Intervals_for_One_Population/7.04%3A_Z-Interval_for_a_MeanIf the sample size is “large” (n ≥ 30) the Central Limit Theorem guarantees that the sampling distribution of the mean will be normally distributed no matter how the population distribution is distrib...If the sample size is “large” (n ≥ 30) the Central Limit Theorem guarantees that the sampling distribution of the mean will be normally distributed no matter how the population distribution is distributed. It is easier to deal with the positive z-score so use the z to the right of the mean which would have 1 – \(\alpha\)/2 = 0.975 area.