Hypothesis Tests of Mean with Changing Sample Mean
Move the slider for μ to change the population mean.[br]Move the slider for s to change the sample standard deviation.[br]Move the slider for size to change the sample size.[br]Move the slider for α to change the level of significance/confidence.[br]Move the type slider to select the test type: left-tailed, right-tailed, two-tailed.[br]Move the P-value/Critical Value slider to change from the P-value[br]approach to the critical value approach, or visa versa.[br][br]Move the slider for xbar to see how the conclusion changes [br]as the sample mean changes.
Hypothesis Tests of Mean with Changing Sample Mean
The P-value is the probability of obtaining a test statistic as [br]extreme as the one for the current sample under the assumption [br]that the null hypothesis is true.[br][br]For a one-tailed test, the critical value is the standard score such [br]that the area in the tail on the opposite side of the critical value [br]from zero equals the corresponding significance level, α . For a [br]two-tailed test, there is a negative critical value and a positive [br]critical value. The negative critical value is such that the area in[br]the tail below it is equal to α divided by two. The positive critical[br]value is the opposite of the negative critical value.