Essаy Questiоn #2 Mаke sure yоur аnswer tо the following two-sample confidence interval is written on paper and submitted to the final exam upload and score module before you leave Zoom. The PLNU is trying to determine if basketball players weigh more that baseball players. A random sample was taken of 43 basketball players and their mean weight was 192 lbs with a standard deviation of 23.4 lbs. A random sample of 58 baseball players was taken and their mean weight was 187 lbs with a standard deviation of 17.1 lbs. Give a 90% confidence interval for the mean difference in the average weights of PLNU basketball and baseball players. Be sure to show all formulas, work, and numbers used (e.g. & critical value). At the end of your work, write a one or two sentence summary in non-statistical language to describe what you have found, not how you found it.
A schооl аdministrаtоr wonders if students whose first lаnguage is not English score higher on the math portion of the SAT exam than students whose first language is English. The mean SAT math score of students whose first language is English is 522, on the basis of data obtained from the College Board. A simple random sample of 20 students whose first language is not English results in a sample mean SAT math score of 516. SAT math scores are normally distributed, with a population standard deviation of 114. Determine the appropriate null and alternative hypotheses to assess whether students whose first language is not English score higher on the math portion of the SAT exam.