Task 9. Hypothesis tests - continued 1. Claim: A researcher reports that the average salary of assistant teachers is more than $ 42,000. A sample of 30 auxiliary teachers has an average salary of $ 43,260. At 0.05, prove the claim that assistant teachers earn more than $ 42,000 per year. The standard deviation of the population is $ 5230. Use the sample data, with a significance level of 0.05. 1. Identify: Null hypothesis Alternative hypothesis Queue type 2. Take the z test for a mean to calculate the z statistic. 3. Obtain the P value (remember to take into account the type of tail) using Table 3 as a reference. 4. Make a conclusion based on the test results. II. Claim: A doctor states that the absorption of oxygen by maximum volume of the runners is greater than the average of all adults. A sample of 15 runners has an average of 40.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg. If the average of all adults (population) is 36.7 ml/kg, is there sufficient evidence to support the doctor's claim of 0.05? 1. Identify: Null hypothesis Alternative hypothesis Queue type 2. Take the t-test for a mean to calculate the t-statistic, 3. Obtain the critical value in Table 4 (remember to consider the type of queue). 4. Make a conclusion based on the test results and critical value.