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Independent Random Sample Students t Test

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A random sample of 10 observations from one population revealed a sample mean of 23 and a sample deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the .05 significance level, is there a difference between the population means.

(a) Compute the pooled estimate of the population variance.

(b) Compute the test statistic.

(c) State the decision about the null hypothesis.

(d) Estimate the p-value.

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The answer contains detailed description of independent sample Students t. Null hypothesis, alternative hypothesis, critical value, p value, pooled population variance are given in the solution.

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A random sample of 10 observations from one population revealed a sample mean of 23 and a sample deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the ...

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