1) Measuring lung function: One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called the forced expiratory volume in one second and is abbreviated FEV1. Assume the mean FEV1 for 10-year-old boys is 2.1 liters and that the population standard deviation is =0.4. A random sample of 65 10-year-old boys who live in a community with high levels of ozone pollution are found to have a sample mean FEV1 of 2.05 liters. Can you conclude that the mean FEV1 in the high-pollution community differs from 2.1 liters? Use the =0.05 level of significance and the P-value method with the table. a) State the null and alternate hypotheses This hypothesis test is a right-tailed test, left tailed, or two tailed? b) Compute the value of the test statistic. Round the answer to at least two decimal places. z= c) Find the P-value. Round the answer to at least four decimal places. P-value= d) Determine whether to reject H0 Does it reject or do not reject the null hypothesis H0? e) State a conclusion. There is not enough or there is evidence to conclude that the mean FEV1 in high-pollution community is different from 2.1 liters? 2) Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 75 people had a mean FICO score of 725 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the =0.01 level of significance and the P-value method with the TI-84 Plus calculator. a) State the null and alternate hypotheses This hypothesis test is a right-tailed test, left tailed, or two tailed? b) Compute the value of the test statistic. Round the answer to at least two decimal places. z= c) Find the P-value. Round the answer to at least four decimal places. P-value= d) Determine whether to reject H0 Does it reject or do not reject the null hypothesis H0? e) State a conclusion. There is not or there is enough evidence to conclude that the mean FICO score is more than the cutoff of 720? 3) Interpreting calculator display: The following TI-84 Plus display presents the results of a hypothesis test. Z-Test <46 level