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Z Test:
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Goal(s): Gain greater familiarity with the formulas, and the information going into them, for the standard error of the mean and the Z test. Increase accuracy at evaluating whether the setup of the formulas will lead to a correct result.
How: For each scenario presented, evaluate whether the two formulas (for standard error and the Z test) are using the correct values. Involves referring to both the null hypothesis and the sample information. Make 12 decisions, with immediate feedback.
Site: P2L.io
About
About
As part of this activity, you are given the characteristics of the Null Hypothesis Distribution. For example, Ho: N(21, 23), informs us that the distribution is normally distributed, with a mean of 21 and a standard deviation of 23. The "N" indicates that the null hypothesis distribution is normally distributed. Within the parentheses, first the mean is presented and then the standard deviation.
To Calculate the Z Test, we must first know the standard error of the mean.
The formula for the Standard Error of the mean equals the standard deviation divided by the square root of the sample size. In the example, the standard error is being calculated as 23 divided by the square root of 21. For this activity, we check whether the values were "plugged in" correctly. Is the standard deviation 23? Yes, that turns out to be true. Is the sample size 21? No - the sample size is 16. The values were not plugged in correctly into the standard error formula. At this point, we'd decide to send the scenario back for revision.
The Z test equals the sample mean minus the Ho specified population mean, quantity divided by the standard error. So, again, check that the correct numbers are being "plugged in." The Z test for this example is calculated as (30 - 16), quantity divided by 5.0. Check that the sample mean is 30, which it is. Check that the Ho Mean is 16, which is not the case. The population mean is 21 rather than 16. So, once again, here is a reason to send the scenario back for revision.
Since all the numbers were not "plugged in" correctly , we will be sending the scenario back for revision.
Had there been no errors in how the numbers had been "plugged in" for either the standard error or the Z test formula, then we would click on the card to the right (showing the scenario), indicating that everything checks out.
Game
Optional: Earning Class Credit
To earn credit for this activity:
Click the 'Accommodations' button on the game menu.
Using the number pad (in the Accommodation dialog box), type the passcode provided by your instructor.
Click the 'Continue' button. Doing so will return you back to the game menu.
Then click 'Start' to begin the game.
When you complete the task with a score of 85% or greater, you will be given a completion code. To view this completion code, click on the 'Completion Code' button.
To get credit for having completed the activity, provide the completion code as your answer (e.g., to a quiz question). If the completion code is not yet available (e.g., performance was less than 85%), then click the 'Continue' button to re-do the activity.
Accommodations include:
Screen Reader (click the 'Screen Reader' button)
Unlimited decision time (e.g., Click the 'Accommodations' button, then type #17 by itself or at the end of a passcode. Click 'Continue').
Please notify your instructor if requesting these accommodations.
Instructors can modify games and set up quizzes rather easily. Check out game modifications.
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