Sample mean vs pop mean
[DOCX File]Probability
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Suppose the mean lifetime of 25 bulbs was only 672.6 hours. You might think, “Gosh, if the population mean were 5000, then most of the bulbs in the sample would have lasted around 5000 hours, so the sample mean would be pretty close to 5000. The probably of getting a sample mean …
[DOC File]Probability
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Point estimate of Pop mean is sample mean. Point estimate of Population variance is SN-12. Interval Estimate. An interval which has a prespecified probability of surrounding the unknown parameter. Typically centered around the point estimate. Sample statistic: Sample mean, Difference between two sample means, Sample Pearson r
[DOC File]Statistics Cheat Sheet
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Given as mean of SRS of size n, from pop with μ and σ. Mean of sampling distribution of is μ and standard deviation is . If individual observations have normal distribution N(μ,σ) – then of n has N(μ,) Central Limit Theorem: Given SRS of b from a population with μ and σ. When n is large, the sample mean is approx normal. 10.
[DOC File]1 - Statistics Department
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Mean Sample Height. Mean 67.74000 Std Dev 1.50569 Std Err Mean 0.47614 upper 95% Mean 68.81712 lower 95% Mean 66.66288 N 10.00000 As expected by the law of the large numbers, the distribution of the sample mean is less varied than the distribution for the population of heights. 2. The result is not trustworthy.
[DOC File]AP Statistics Exam Review
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A sample mean, , approaches the population mean, . A sample proportion, , approaches the population proportion, . A sample standard deviation, , approaches the population standard deviation, . Multiplying and/or adding CONSTANT values: For CONSTANTS a and b, and for random variable x, and . Combining random VARIABLES: For random variables x and y,
[DOC File]Test of a hypothesis about µ when value of sigma is unknown I
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Two-tailed vs. One-tailed alternative hypotheses. Module 17. If the null is false, there are actually three possible alternative hypotheses . . . 1: Population mean does not equal the hypothesized value (e.g. Pop mean ≠ 5000) 2: Population mean is only less than the hypothesized value (e.g., Pop mean < 5000)
[DOC File]Statistical Inference
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Take a sample of light bulbs. Compute the mean of the sample. From our study of sampling distributions, we know that the sample mean will not exactly equal the population mean. But we also know that it’ll be close to the population mean. If the population mean is 5000, then the sample mean should be close to 5000. So . . .
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