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A random sample of 10 observations is selected from the first normal population and 8 from the second normal population. For a one-tailed test of hypothesis at the .01 significance level to determine if there is a difference in the population means, the degree of freedom isQuestion 4Select one:a.17b.18c.None of the aboved.16

Question

A random sample of 10 observations is selected from the first normal population and 8 from the second normal population. For a one-tailed test of hypothesis at the .01 significance level to determine if there is a difference in the population means, the degree of freedom isQuestion 4Select one:a.17b.18c.None of the aboved.16

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Solution

The degrees of freedom for a two-sample t-test can be calculated using the formula: df = n1 + n2 - 2, where n1 and n2 are the sizes of the two samples.

In this case, n1 = 10 (from the first normal population) and n2 = 8 (from the second normal population).

So, the degrees of freedom would be: df = 10 + 8 - 2 = 16.

Therefore, the correct answer is d. 16.

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