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If Two Random Samples of Sizes 30 and 45 Are Xˉ1Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 }

question 17

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If two random samples of sizes 30 and 45 are selected independently from two non-normal populations with means of 53 and 57, then the mean of the sampling distribution of the sample mean difference, Xˉ1Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 } , equals -4.


Definitions:

Confidence Interval

A selection of values, taken from data sampling, that is presumed to hold the value of a hidden population attribute.

Sample Size

The number of observations or data points collected or selected from a population for the purpose of statistical analysis.

Degrees of Freedom

The number of independent pieces of information in a dataset that are available for estimating another piece of information or parameter.

Confidence Interval

A band of values, derived from the statistical examination of samples, presumed to include the value of an unascertained population parameter.

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