When testing a hypothesis about a single mean,sample size of 200 is selected from a normally distributed population.If the population standard deviation is known,the correct test statistic to use is ___________.
A)$\chi$
B)Z
C)t
D)p-value

Question

Quizplus · Accepted Answer

When the population standard deviation is known and the sample size is greater than 30, the appropriate test statistic to use is the z-test. Hence, choice B is correct. Choices A, C, and D are incorrect because they are not applicable in this situation. The F-test and the chi-square test are used for testing hypotheses about variances or standard deviations, not means. The t-test is used when either the population standard deviation is unknown or the sample size is small (less than 30).

When Testing a Hypothesis About a Single Mean,sample Size of 200