How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains gave the following weights (pounds): 65 102 134 127 60 64   Assume that the population of x values has an approximately normal distribution. (a) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s. (Round your answers to four decimal places.) x = _____ lb s = _____ lb (b) Find a 75% confidence interval for the population average weight ? of all adult mountain lions in the specified region. (Round your answers to one decimal place.) lower limit      ______lb upper limit     ______lb

Consider the following sample data.  Sample A: 5, 8, 11 Sample B: 64, 67, 70 Sample C: 1,015; 1,018; 1,021  (a) Find the mean and standard deviation for each sample.      (b) What does this exercise show about the standard deviation? multiple choice The idea is to illustrate that the standard deviation is not a function of the value of the mean. The idea is to illustrate that the standard deviation is a function of the value of the mean.

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 71 miles per​ hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 61 miles per hour and 81 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.)   Approximately ________ ​% of vehicles travel between 61 miles per hour and 81 miles per hour.

3565 6781 11366 5656 10024 9101 9286 10376 7290 15558 6657 20795 4027 19100 16223 14502 2830 5785 9070 7560 D) Calculate the mean and standard deviation of your data set. You may use technology such as Google Sheets, Excel, or a TI-83/TI-84. Round to the nearest hundredth. Mean 9777.6 Standard Deviation 5090.73 E) Using a significance level a = 0.05, find the critical value using the following steps. 1. What are the degrees of freedom? n D20 d. f.= n- 1=19 = 19 2. Will this be a one-tailed or two tailed test? two-tailed 3. Using table 5 from the back of your textbook (page A18 in Appendix B), what is the critical value? 1.729