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. EEH 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 3.267. (Round to three decimal places as needed.) b. Find the standard deviation of the improvement scores for the DM dosage group. The standard deviation of the improvement scores for the DM dosage group is |2.262|. (Round to three decimal places as needed.) Table of coughing improvement scores Full data set: = Honey 8 " 12 12 5 T 6 13 o Dosage: 5 1 9 12 13 15 8 14 10 10 12 15 12 5 6 8 DM Dosage: 7T 12 10 6 10 4 5 9 6 9 8 8 10 N 10 71" 9 4 No Dosage 1 2 12 5 T 3 6 9 4 (Control): 2 8 7 6 9 5 6 Standard deviation value 2.262 incorrect. @ That's incorrect. Use technology or the formula below to calculate the sample standard deviation. The sample variance for a sample of n measurements is equal to the sum of the squared distances from the mean divided by (n - 1). The symbol sz is used to represent the sample variance, A variance formula for calculating s? is shown below. The sample standard deviation is the positive square root of the sample variance, or s = + s i 2. 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 c. 110, 5, 4, 40, 70, 40, 55, 1 . . . a. The range is 12 . (Type an integer or a decimal. Do not round.) The variance is (Round to two decimal places as needed.) 3. Calculate the range, variance, and standard deviation for the following samples. a. 5, 4, 3, 0, 3 b. 3, 6, 1, 1, 5, 0, 5 c. 7, - 3, 6, 8, 1, 3, 3, 6, 8 d. 0, 4, 0, 0, - 2, 2, - 4, 2, 0, - 2, 2, -2, 0, -5, -4, -2, 0,2 5 a. The range is 5. (Type an integer or a decimal. Do not round.) The variance is . (Round to two decimal places as needed.)Biologists at a university are studying the patterns of extinction in the bird population of a certain country. Data on flight capability, habitat, nesting site, nest density, diet, body mass (grams), egg length (millimeters), and extinct status were collected for a sample of 10 bird species. The data on egg length is shown below. Complete parts a and b below. 55 27 52 116 70 o 42 64 25 74 51 a. Find the mean and standard deviation of the egg lengths. b. Use the empirical rule to form an interval that approximates 95% of the egg lengths of a bird species found in this country. a. The mean of the egg lengths is 57.6 mm. (Round to one decimal place as needed.) The standard deviation of the egg lengths is D mm. (Round to one decimal place as needed.) The following is a sample of 20 measurements. 12 8 4 8 12 12 12 13 11 13 8 9 10 6 14 13 7 8 9 & a. Compute X, 32, s for this sample. x= 9.90 (Round to two decimal places as needed.) 24 (Round to two decimal places as needed.) The sample variance for a sample of n measurements is equal to the sum of the squared deviations from the mean divided by (n - 1). Use the formula given below to find the sample variance, 2. n T (v7) sts n=A Formula for standard deviation. The sample variance for a sample of n measurements is equal to the sum of the squared deviations from the mean divided by (n - 1). Use the formula given below to find the sample variance, s2. The standard deviation, s, is equal to the square root of 2. The following is a sample of sanitation scores for 20 cruise ships. 85 93 83 90 88 95 94 89 95 96 86 80 98 a. Find the mean and standard deviation of the sanitation scores. x= 90.95 (Round to two decimal places as needed.) s=[ ] (Round to two decimal places as needed.) 92 95 90 97 8 94 93