1. Can we conclude that the mean age at death of patients with homozygous sickle-cell disease is less than 30 years? A sample of 50 patients yielded the following ages in years: 15.5 2.0 45.1 1.7 0.8 1.1 18.2 9.7 28.1 18.2 27.6 45.0 1.0 66.4 2.0 67.4 2.5 61.7 16.2 31.7 6.9 13.5 1.9 31.2 9.0 2.6 29.7 13.5 2.6 14.4 20.7 30.9 36.6 1.1 23.6 0.9 7.6 23.5 6.3 40.2 23.7 4.8 33.2 27.1 36.7 3.2 38.0 3.5 21.8 2.4 Let = 0.05. 1. What assumptions are necessary for this question? 2. Find the mean of this sample. 3. Calculate the standard deviation of this sample. 4. Calculate the standard error. 5. Set up the hypotheses. 6. Is it two-sided or one-sided test? If it is a one-sided test, then is it left-sided or right-sided? 7. Is it z-test or t-test? And, why? 8. Find the critical value from the proper table. 9. Calculate the test statistic. 10. Make conclusion. Hint: use any program or a calculator to obtain the statistics