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#2 (Z and T) (Megastat/Minitab) - Case Study Example

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Statistical tests like Z-test and Student’s t-test have been included for a reliability check in this regard. While Z-test deals with…
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Case Study #2 (Z and T) (Megastat/Minitab)
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Download file to see previous pages The feature being tested in each case is the presence of any significant difference between the sample and the population means. A significant difference would suggest that the sample is not a reliable representative of the population, while the situation is reversed if there is no significant difference. However, Z-tests are more suitable for larger samples viz., n ≥ 30 and t-tests are used when the sample size is less than 30.
From the data on the number of enrollments in elementary school in USA in the year 2004, 32 observations are chosen at random (details included in the appendix) and the sample mean is being calculated. The steps that confirm that the sample is drawn from the concerned population are described as follows.
In this case, 20 random observations are being considered (shown in the appendix). The sample mean, M = 863.1675. The population mean and standard deviations have been found to be 670.2 and 800.98 respectively, implying that the standard error, σ / √n = ...Download file to see next pagesRead More
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