Problem 6 The lowest pulse rate is 40 beats per minute, the mean of the listed pulse rates is x 75.5 beats per minute, and their standard deviation is s 12.5 beats per minute. Find a. What is the difference between the pulse rate of 40 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 40 beats per minutes using z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 40 beats per minute significant? Problem 7 A teacher asked 10 of her students how many books have they read during the past year. Their answers were: 12, 23, 36, 4, 9, 10, 7, 21, 12, 15. Construct the stem and leaf plot. Problem 8 For a data set of shoe sizes (inches) and weights (pounds) of twelve sportsmen that were measured, the linear correlation coefficient is r = 0.589. a. Use the table available below to find the critical values of r. b. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? Number of Pairs of Data n Critical Value of r 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 Problem 9 For the table given below a. Is it a frequency table? b. Find the percent relative frequency. c. Construct the frequency polygon. d. Find the mean (extra credit +5pt) Time (sec) Frequency 65-114 13 115-164 22 165-214 7 215-264 13 265-314 3 Problem 10 Determine whether the study is an experiment or an observational study, and then identify a major problem with the study. The Physicians' Health Study involved 22,071 male physicians. Based on random selections, 11,037 of them were treated with aspirin and the other 11,034 were given placebos. The study was stopped early because it became clear that aspirin reduced the risk of myocardial infarctions by a substantial amount. This is an (1). because the researchers (2) the individuals. What is a major problem with the study? A. The results apply only to male physicians. B. There is no blinding or replication, which has a high chance of leading to bias. C. The results apply only to individuals with heart disease. D. This is a convenience sample with voluntary response, which has a high chance of leading to bias. (1) O experiment observational study (2) O do not attempt to modify apply a treatment to