METHODS OF DATA ANALYSIS
PARAMETRIC AND NON PARAMETRIC TESTS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Reject at both 5% and 10% level of significance
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Reject at 5% but not at 10%
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Reject 10% but not at 5%
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None of the above
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Detailed explanation-1: -A z-test is a statistical test to determine whether two population means are different when the variances are known and the sample size is large. A z-test is a hypothesis test in which the z-statistic follows a normal distribution. A z-statistic, or z-score, is a number representing the result from the z-test.
Detailed explanation-2: -A z-test is used to test a Null Hypothesis if the population variance is known, or if the sample size is larger than 30, for an unknown population variance. A t-test is used when the sample size is less than 30 and the population variance is unknown.
Detailed explanation-3: -The z statistic is calculated by taking the sample mean minus the population mean (defined in the null hypothesis), divided by the standard deviation, as shown in equation 2. Then, from the calculations, we obtain that z = 1 . Finally, we must make the decision, which we will do in the next step.