• 2022-06-07
    To compute an interval estimate for the difference between the means of two populations, the t distribution is restricted to small sample situations.
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    • 0

      When testing for a difference in two population means from small samples, a pooled variance must be computed when ___________.

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      The difference between the sample mean and the population mean is called the sampling error.

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      The difference between the sample size and the population size is called the sampling error.

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      There is a slight difference in meaning between the two words.

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      A researcher is interested in testing to determine if the mean of population one is greater than the mean of population two. The null hypothesis is that there is no difference in the population means (i.e. the difference is zero). The alternative hypothesis is that there is a difference (i.e. the difference is not equal to zero). He randomly selects a sample of 9 items from population one resulting in a mean of 14.3 and a standard deviation of 3.4. He randomly selects a sample of 14 items from population two resulting in a mean of 11.8 and a standard deviation 2.9. He is using an alpha value of .10 to conduct this test. Assuming that the populations are normally distributed, the critical t-value from the table is _______.