Activity 4 Directions: In one coherent sentence, answer the following questions: 1. Differentiate between t-test and z-test _________________________________
The t-test is any statistical hypothesis test in which the test statistic follows a Student's t-distribution under the null hypothesis. A t-test is the most commonly applied when the test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known. A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution. Z-tests test the mean of a distribution.
in short, t-test follow a normal distribution under null hypothesis. while z-test statistical test under normal distribution can be approximated by a normal distribution.
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Answer:
The t-test is any statistical hypothesis test in which the test statistic follows a Student's t-distribution under the null hypothesis. A t-test is the most commonly applied when the test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known. A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution. Z-tests test the mean of a distribution.
in short, t-test follow a normal distribution under null hypothesis. while z-test statistical test under normal distribution can be approximated by a normal distribution.