The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation of 6. Find the percentage of students that scored below 70 percent. O 18.4% O 15.9% O 24.3% O 19.7%
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- The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 46 ounces and a standard deviation of 9 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 37 and 73 ounces? c) What percentage of the widget weights lie above 28? 0.15% -3s 2.35% -25 13.5% -1s 34% 34% 1s 13.5% 2s 2.35% 3s and 0.15% % %The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 58 ounces and a standard deviation of 6 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 52 and 76 ounces? % c) What percentage of the widget weights lie above 46 ? 34% 34% 2.35%, 13.5% 13.5% 2.35% 0.15% „0.15% -3s -2s -1s 1s 3s2. 60 matches were played in a football tournament. The table to the right shows the number of goals scored in all matches. Number of Goals 1 3 4 5 Number of Matches 18 20 3 a. Find the median number of goals scored per match. b. Find the mean number of goals scored per match. c. Calculate the standard deviation of the goals scored per match.
- A distance is measured six times. The observed values are 572.182 m, 572.140 m, 572.103 m, 572.160 m, 572.125 m, and 572.155 m. All measurements are uncorrelated and their standard deviations are 0.030 m, 0.030 m, 0.030 m, 0.020 m, 0.020 m, and 0.010 m, respectively. Find the least squares estimate for the distance. Use matrices and R in the solution. Write the R commands involved.Calculate the standard deviation of the data shown. Use technology x 27.6 2.6 13.2 8.3 8.9 3.3 Round to 2 placesThe Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 ounces and a standard deviation of 3 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 57 and 69 ounces? c) What percentage of the widget weights lie above 54 ? 0.15% -3s 2.35% -25 13.5% -1s 34% 34% 1s 13.5% 2s 2.35% 3s and 0.15% % %
- find the actual percentage in the data set, sort the DRIVE variable and count how many of the data points are less than 25 out of the total 35 data points. That is the actual percentage. How does this compare with your prediction? Mean: 57.457 Standard deviation: 26.539 Predicted percentage: 0.110 Drive: 44 20 88 6 71 42 76 63 61 63 84 28 55 33 88 80 86 83 5 85 25 25 54 54 81 73 29 76 78 77 42 65 71 94 6Find the sample standard deviation, coefficient of variation, and range. (Round your standard deviation to four decimal places and your coefficient of variation to two decimal places.) Given the following: 1.9, 2.4, 5.7, 4.5, 1.9, 8.5, 3.9, s CV % rangeProvide an appropriate response.The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to find the percentage of students with scores between 70 and 130. Group of answer choices 95% 68% 99.7% 100%
- z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?The incomes of trainees at a local mill are normally distributed with a mean of $1,100 and a standard deviation of $150. What percentage of trainees earn more than $1,300 a month? Group of answer choices 9.18% 40.82% 90.82% 35.31%