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Two Means - Sigma Known Hypothesis Test - Excel quiz
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When are you required to use a z-test instead of a t-test for comparing two means?
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When are you required to use a z-test instead of a t-test for comparing two means?
You use a z-test when the population standard deviations (sigma1 and sigma2) are known.
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Termini in questo insieme (15)
Nascondere definizioni
When are you required to use a z-test instead of a t-test for comparing two means?
You use a z-test when the population standard deviations (sigma1 and sigma2) are known.
What is the null hypothesis (H0) when testing two population means?
The null hypothesis is that the two means are equal, or μ1 = μ2.
How do you express the alternative hypothesis if you suspect mean 1 is less than mean 2?
The alternative hypothesis is μ1 < μ2.
What Excel function is used to calculate the sample mean from a data set?
The AVERAGE function is used to calculate the sample mean.
What is the formula for the z-score in a two means, sigma known hypothesis test?
The formula is z = (x̄1 − x̄2) / sqrt(σ1²/n1 + σ2²/n2).
How do you calculate the numerator for the z-score formula in Excel?
Subtract the second sample mean from the first: =x̄1 - x̄2.
How do you calculate σ1²/n1 in Excel?
Square sigma1, then divide by n1: =(sigma1^2)/n1.
Which Excel function is used to find the cumulative left-tail probability for a z-score?
The NORM.S.DIST function with TRUE as the second argument is used.
What does it mean if your p-value is less than your significance level alpha?
It means you reject the null hypothesis in favor of the alternative hypothesis.
In the example, what were the sample sizes for both groups?
Both sample sizes were 30.
If the alternative hypothesis uses a less than symbol, which tail probability do you use?
You use the left-tail probability.
What conclusion do you draw if the p-value is 0.04 and alpha is 0.05?
You reject the null hypothesis because 0.04 < 0.05.
Why is it helpful to break the z-score formula into parts when using Excel?
It reduces the chance of making calculation errors and makes the process easier.
What does rejecting the null hypothesis indicate in the context of the manufacturing example?
It indicates there is enough evidence to conclude that machine A produces less on average than machine B.
What should you do if you want to practice more hypothesis tests for two means in Excel?
You should check out additional examples provided in the lesson or course materials.