AutoSave . ,rrr Home Insert Draw D r) E) Outline Print Web Layout Layout Page i of Z )3 Draft 664 Words Gll'9VC/EJBBM Design Layo t References E0 Focus Immerslve Swltch Reader Modes English (United States) Gridlines v2: M9 Case Study Mailings Review View ; Tellme B One Page *iij E i ):l v L:l V l ' El] Multiple Pages i Zoom Zoom New Arrange 5pm Switch Macros Navigation Pane to 100% m Page Wid'h Window All Windows The USDA's National Agricultural Statistics Services collects, summarizes, and distributes statistics on many elements of the agricultural industry. Annual reports are published nationally and by state. A dairy farmer provided this data set for the monthly mild production (in pounds) for 50 Holstein dairy cows. Refer to this chart to answe; 9 questions which follow the chart. Monthly Milk Production 2825 2072 2733 2069 2484 4285 2862 3353 1449 2029 1258 2982 2045 1677 1619 2597 3512 2444 1773 2284 1884 2359 2046 2364 2669 3109 2804 1658 2207 2159 2207 2882 1647 2051 2202 3223 2383 1732 2230 1147 271 1 1874 1979 1319 2923 2281 1230 1665 1294 2936 Use www.5tatcrunch.com to execute the following tasks and submit the results in Canvas. The data in the chart is also available as an Excel file to import. 1. A) Use the Stat tool to create the Summary statistics for the chart data. Add the values to the chart provided in Canvas. 5) Create a histogram to display the data in the chart. Set the starting bin value as 1100 and enter a bin width that will generate between 5 and 10 classes. C) Based on the shape alone, do you think it is appropriate to apply the Empirical Rule? Explain your answer. D Use the results of the histogram in part B) to create a frequency distribution for the given data set. Copy and paste this provided chart to enter your results. If you have fewer than ten classes, just leave the lower lines of the chart empty. . A) Determine the monthly milk production values that correspond to 1 = -3. -2. -1, 0, 1, 2, 3. 5) Complete the distribution in Canvas by inserting the values from part A) as class boundaries and determine the number of values within each interval C) Use the results of part B) to determine the percentages of values within 1, 2. and 3 standard deviations of the mean. D) Based on the results of part C) and the Empirical Rule, do you think the data is approximately normally distributed? Explain your answer. . A) Select two values from the provided chart: one below the meania) and one above the mean (b). The selected values should NOT be one of the values entered into the chart in 2A). Let x represent a randomly selected value from the data chart. Explain why the random variable is a discrete random variable. B) Translate each verbal Statement into symbolic form the empirical probability that the randomly selected value. x, is no more a. El Focus i5" Share Q g? Q Comments AutoSave OFF A A ? CG90 ... w M9 Case Study Q Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Ex Outline Ruler Q One Page Gridlines 100 Multiple Pages Print Web Draft Focus Immersive Switch Zoom Zoom New Arrange Split Switch Macros Layout Layout Reader Modes Navigation Pane 0 100% _ Page Width Window All Windows 3. A) Select two values from the provided chart: one below the mean(a) and one above the mean (b). The selected values should NOT be one of the values entered into the chart in 2A). Let x represent a randomly selected value from the data chart. Explain why the random variable is a discrete random variable. B) Translate each verbal statement into symbolic form the empirical probability that the randomly selected value, x, is no more a. - the empirical probability that the randomly selected value, x, is at least b. the empirical probability that the randomly selected value, x, is between a and b. C) Explain the general process for finding an empirical probability. Determine the empirical probabilities described in part B) based on the chart provided at the start of the case study. Enter the probability, correct to two decimal places, into the chart in Canvas. 4. A) Let x represent a randomly selected number between the minimum and maximum values in #1; a and b represent the same values selected in #3. Explain why x represents a continuous random variable in this part of the case study. ) Assume that the monthly milk production of Holstein cows is normally distributed, with the mean and standard deviation as determined in #1A). State the probabilities described in #3 in terms of z- scores and determine the probabilities. ) Select Stat - Calculators - Normal. Then, setting the mean to 0 and standard deviation to 1, determine the probabilities for the statements in part B). Enter the probability, correct to four decimal places, into the copied chart. Download the result and save as an image to your device. Embed the images as support for the submitted probabilities. ) It is very unlikely that the probabilities found in #4B) are exactly the same as those found in #3. Explain why the probabilities are different. Page 1 of 2 664 words X English (United States) Focus E 100%