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Matched Pairs Hypothesis Test - Excel quiz
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Define:
What is the main purpose of a pooled t test?
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What is the main purpose of a pooled t test?
A pooled t test assesses whether two population means are equal when the population variances are unknown but assumed to be equal.
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Terms in this set (15)
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What is the main purpose of a pooled t test?
A pooled t test assesses whether two population means are equal when the population variances are unknown but assumed to be equal.
When should you use a pooled t test instead of another t test?
You should use a pooled t test when you do not know the population variances but can assume they are equal.
What is the null hypothesis in a pooled t test for two means?
The null hypothesis states that the two population means are equal (μ1 = μ2).
What does the alternative hypothesis represent in a pooled t test?
The alternative hypothesis suggests that the two population means are not equal (μ1 ≠ μ2).
Which Excel function is used to perform a pooled t test?
The T.TEST function in Excel is used to perform a pooled t test.
What value should you enter for the 'type' argument in Excel's T.TEST function to perform a pooled t test?
You should enter '2' for the 'type' argument to indicate a pooled t test.
How do you specify a two-tailed test in Excel's T.TEST function?
You specify a two-tailed test by entering '2' for the tails argument in the T.TEST function.
What does a two-tailed test check for in hypothesis testing?
A two-tailed test checks for any difference between the two means, not just if one is greater or less than the other.
What is the significance level (alpha) commonly used in hypothesis testing?
A common significance level (alpha) used is 0.05.
How do you decide whether to reject the null hypothesis in a pooled t test?
You reject the null hypothesis if the p-value is less than the alpha level.
What does it mean if the p-value is smaller than alpha in a pooled t test?
It means there is enough evidence to reject the null hypothesis and conclude the means are different.
In the example, what were μ1 and μ2 representing?
μ1 represented the average number of cookies in the new packaging, and μ2 represented the average in the old packaging.
What conclusion is drawn if the p-value is 0.003 and alpha is 0.05?
Since 0.003 is less than 0.05, you reject the null hypothesis and conclude the means are not equal.
Why is it important to check the assumption about variances before using a pooled t test?
The pooled t test assumes equal variances; if this is not true, the test results may not be valid.
What is the general process for performing a pooled t test in Excel?
Write the hypotheses, use the T.TEST function with appropriate arguments, and compare the p-value to alpha to draw a conclusion.