Hypothesis Testing

3. Assume that the school's sports coordinator claims that the mean weight of all student-athletes is 52 kilograms with a standard deviation of 8 kilograms. Accomplish the following on sheets of long bond papers. Use appropriate formulas and present complete solutions as necessary. Write legibly. Avoid erasures. a. Determine the sample mean weight of the seven randomly selected student-athletes. (5points) b. Test the claim of the sports coordinator at 5% level of significance. Present the complete outcomes of each procedure in hypothesis testing: i. Formulate the null and alternative hypotheses. (3points) ii. Specify the level of significance and choose the appropriate statistical test. (3points) iii. Compute for the test statistic. (3points) iv. Establish the critical region. (3points) v. Make a decision and a conclusion. (3points)Ill. On a separate sheet of paper, write a word problem on the applications of the estimation of parameters to reallife situations that makes use of the following data: 11 = 400, x = 250; a = 0.05. Inclusion of other data may be done as well if deemed necessary. Write legibly. Avoid erasures. Avoid plagiarism. (10 points - to be recorded as part of the Performance Task) We: Upon accomplishing the EXERCISES, renal! the concepts given above and during the discussions bewe proceeding on the next module. Keep mmmmbmimmmiumweexcmsm