statisticss

Statistics and Probability TEST STATISTICS on POPULATION MEAN and PROPORTION ACTIVITIES I. Solve the given problem using the step-by-step procedure of solving TEST STATISTICS. a. The school nurse thinks the average height of 11" graders has decreased. The average height of a 11" grader five years ago was 163cm with a standard deviation 20cm. She takes a random sample of 200 students and finds that the average height of her sample is 160cm. Using 95% confidence level, are 11" graders now smaller than those 11" graders before? b. The heart rates of 50 patients in an ICU have a mean of 95.3 beats/min and standard deviation 16.9 beats/min. Are heart rates from ICU patients faster than usual? Given normal heart rate mean of 72 beats/min with a significance of 0.05. c. An English teacher wanted to test the mean reading speed of students of 550 words per minute. A sample of 25 students revealed a sample mean of 542 words per minute with a standard deviation of 25 words per minute. At 0.10 significance level, is the reading speed different from 550 words per minute? d. It has been claimed that 30% of students in a particular SHS dislike Mathematics. When a survey was conducted by a researcher, it showed that 145 of 800 students dislike Mathematics. Test if the claim was different at a = 0.10 level. e. It has been claimed that 50% of qualified applicants passed in a particular job interview. When a survey was conducted by a researcher of a certain company, it showed that 85 of 155 applicants passed the job interview. Test if the claim was larger at a = 0.05 level. ESSAY Kindly just explain the purpose or goal of each step in solving test statistics. Also give your thoughts about the importance of this lesson