1.

A study examined the characteristics of cheek teeth (e.g., molars) in an extinct primate species. The data on dentary depth of molars (in millimeters) for 18 cheek teeth extracted from skulls are reproduced in the accompanying table below. Complete parts a through c below. if Click the icon to view the table. a. Find and interpret the mean of the data set. If the largest depth measurement in the sample were doubled, how would the mean change? Would it increase or decrease? A. The mean is 16.5. (Round to one decimal place as needed.) O B. The data set does not contain a mean. Data on Dentary Depth (mm) of Molars Data on Dentary Depth (mm) of Molars 18.15 16.58 19.44 15.73 19.31 17.84 15.95 13.27 15.81 16.13 19.72 18.16 15.79 14.06 17.04 14.08 13.95 16.27 b. Find and interpret the median of the data set. If the largest depth measurement in the sample were doubled, how would the median change? Would it increase or decrease? O A. The median is]. (Type an integer or a decimal. Do not round.) O B. The data set does not contain a median.Calculate the range, variance, and standard deviation for the following samples. a.35,47,41, 40,43 b.110,5,4,92,70,2,3, 20,1 . 110,5,4, 40,70, 40, 56,1 = a. The rangeis 12. {Type an integer or a decimal. Do not round. ) The variance is 19.2 . (Round to two decimal places as needed.) The standard deviation is 4.4 . (Round to one decimal place as needed.) b. The range is 109 . (Type an integer or a decimal. Do not round.) The variance is | . (Round fo two decimal places as needed.) Calculate the variance. While either technology or the following formula can be used to calculate the sample variance, for the purposes of this explanation, use technology. The sample variance, & fora sample of n measurements is equal to the sum of the squared deviations from the mean divided by (n=1). The formula for calculating s is shown below, whare %, i5 an individual measurement, x is the sample mean, and n is the total number of measurements. n o T (x-9? g _ =1 n=1 Researchers developed a method for ranking the total driving performance of golfers. The mathod requires knowing a golfer's average driving distance (yards) and driving accuracy (percent of drives that land in the fairway). The values of these two variables are used to compute a driving performance index. Twenty driving performance index observations are listed in the table below. Use this information to complete parts a through , 1.38 2.88 143 211 1.26 141 1.67 267 2.38 141 o 3.56 241 37 141 183 1.39 2.44 215 1.98 1.32 Ty a. Find the mean, median, and mode for the 20 driving performance index values. What is the mean? x= 2014 (Round to three decimal places as neaded.) What is the madian? median= 1.905 (Round to three decimal places as needed.) What is the mode? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. 4 mode= 1.41 (Type an integer or a decimal. Use a comma to separate answers as needed.) , There is no mode. . Use the results from part a to make a statement about the type of skewness in the distribution of driving performance indexes. Support your statement with a graph. Choose the cormect answer below. Note that the class interval size is 0.4. O A OB oc 5 5 4 T 2 & 4 $ A R 3 3 i o) 3 Q 0 4 o 0 4 o Index Index Index The data set Is skewed to the right. The data set is symmetrical, The data set Is skewed to the left. Calculate the range, variance, and standard deviation for the following samples. a.54,3,0,3 o .7.-36613368 o d.0.4,0,0,-2,2 -420, -22 -20 -5 -4 -202 o a. The rangeis 5. {Type an integer or a decimal. Do not round.) The variance is L (Round to two decimal places as needed.) [f(Ctr) Calculate the variance. While either technology or the following formula can be used to calculate the sample variance, for the purposes of this explanation, use technology. The sample variance, s fora sample of n measurements is equal to the sum of the squared deviations from the mean divided by (n=1). The formula for calculating 2 is shown below, where ; is an individual measurement, x is the sample mean, and n is the total number of measurements. 2 (59" RS n-1 A study was done of honey as a remedy for coughing. The coughing improvement scores (as determined by the children's parents) for the patients in the over-the-counter cough medicine dosage (DM) group, honey dosage group, and control group are reproduced in the accompanying table. Complete parts a through d below. EH Click the icon to view the table of coughing improvement scores. a. Find the standard deviation of the improvement scores for the honey dosage group. The standard deviation of the improvement scores for the honey dosage group is | ] {Round o three decimal places as needed.) Table of coughing improvement scores Full data set: = 6 10 8 T for calculating s? is shown below. The sample standard deviation is the positive square root of the sample variance, or 5= Jsz - While technology or the formula below can be used to calculate the sample standard deviation, in this problem, technology will be used, Use technology fo calculate the sample standard deviation for the improvement scores for the honey dosaoe oroun. rounding to thres decimal olaces