III. State the null and alternative hypotheses for each situation then tell whether it calls for two-tailed or one-tailed test.1. A sample of 100 clients of ABC is taken, and brokerage charges are calculated with the new rates of XYZ broker. If the mean of the sample is P1,500.00 and the sample standard deviation is P300.00, can any inference be made about the difference in the average brokerage bill between ABC and XYZ broker?Ho:Ha:Type of test: two-tailed test_____________________2. The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250 ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then finds the mean capacity to be 248 mL. The standard deviation s is 5 mL.Ho:Ha:Type of test: one-tailed test___________________3. A researcher used a developed problem solving test to randomly select 50 Grade 6 pupils. In this sample, X = 80 and s = 10. The u and standard .8 deviation of the population used in the standardization of the test were 75 and 15, respectively.Ho: Ha:Type of test:_______________________NEED HELP PO DI KO KAYA TO ?

4. Apply the steps in hypothesis testing to test the validity of the claim in the situation below. Bryan administered a mathematics achievement test to a random sample of 50 graduating pupils. In this sample, X = 90 and s = 10. The population parameters, u = 83 and o = 15. Is the performance of the sample above average? Steps Solution 1. Formulate the hypotheses: the Ho: null hypothesis and the alternative hypothesis Ha: In symbols: Ho: Ha: 2. Set the significance level of a a = 0.05 Type of test Type of test: Critical values of z Zcritical = 3. Compute the z-statistics Given: Solution: X = Z - X-H n = 4. Decision: Compare the computed value of z with the critical value. 5. Conclusion Interpretation