Given the following values: $\mu$= 10,M = 8, $\sigma$_M = 0.5,conduct a one-sample z test at a .05 level of significance.What is the decision for a two-tailed test? A) to reject the null hypothesis B) to retain the null hypothesis C) There is not enough information since the sample size is not given.

Question

Quizplus · Accepted Answer

Since the significance level is .05, we need to find the critical values for a two-tailed test. Using a z-table, we find the critical values to be -1.96 and 1.96. We calculate the test statistic as:

z = (10 - 8) / (0.5 / sqrt(10)) = 4

Since the absolute value of the test statistic (|4|) is greater than the critical value of 1.96, we reject the null hypothesis. Therefore, the decision for a two-tailed test is to reject the null hypothesis.

Given the Following Values μ\muμ = 10,M = 8 σ\sigmaσ M = 0

Given the Following Values $\mu$ = 10,M = 8 $\sigma$ _M = 0