statistics

Statistics and Probability TEST STATISTICS on POPULATION MEAN and PROPORTION ACTIVITIES I. Solve the given problem using the stepby-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 103cm with a standard deviation 20cm. She takes a random sample of 200 students and finds that the average height of her sample is 100cm. Using 95% confidence level. are 11"I graders new smaller than those 11\"1 graders before? b. The heart rates of 50 patients in an ICU have a mean of 95.3 beatsfmin and standard deviation 16.9 beatsr'min. Are heart rates from iCU patients faster than usual? Given normal heart rate mean of 3'2 beatsrmin 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 rninute'iI d. It has been claimed that 30% of students in a particular SHS dislike Mathematics. When a surveyr was conducted by a researcher. it showed that 145 of 300 students dislike Mathematics. Test if the claim was different at o = 0.1 0 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 35 of 155 applicants passed the lob interview. Test if the claim was larger at o = 0.05 level