hypothses test for the population Mean

MAT-098/181C Week 12 Page 4 of $ How to Test a Population Mean it (a unknown) Step 1: Determine the hypotheses. State the Ho, He and level of significance a Step 2: Check conditions. n 2 30 *Step 3: Compute the sample test statistic. Draw a sketch and use the 1-table distribution and the type of test, one-tailed or two-tailed, to find the probability (P-value) corresponding to the test statistics. Use degree of freedom: d.f. = n - 1 X - H Vn Step 4: State a conclusion. . If the P-value a, we fail to reject the null hypothesis. Step 5: Interpret the conclusion. Example 2: Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. 200 randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test. Step 1: Determine the hypotheses. State the Ho, Ha and level of significance a Step 2: Check conditions. n 2 30 *Step 3: Compute the sample test statistic. Draw a sketch and use the t-table distribution and the type of test, one-tailed or two-tailed, to find the probability (P-value) corresponding to the test statistics. Use degree of freedom: d.f. = n - 1 = t = _ X - M P-value = "Estimating a Population Proportion" by Open Leaming Initiative