Refer to the results of #1 as needed. A) Determine the month…

Refer to the results of #1 as needed. A) Determine the monthly milk production values that correspond to z = -3, -2, -1, 0, 1, 2, and 3.  Copy and paste this table into the answer field and then enter your responses. Monthly Milk Production Z-score -3 -2 -1 0 1 2 3   B) Copy and paste the chart provided below into the answer field below. Refer to the your results in part A) to complete the chart. Insert the milk production values that are boundaries for the indicated classes based on the z-scores. Complete the frequency column by referring to the milk production values given at the start of the Case Study. Class Boundaries Class Z-scores Frequency –  to -3 -3 to -2 -2 to -1 -1 to 0 0 to 1 1 to 2 2 to 3 3 to C) Copy and paste the provided chart into the answer field below. Use the results of part B) to determine the percentage of values within 1, 2, and 3 standard deviations of the mean. Interval of Milk Production Interval of z scores Percentage within 1 standard deviation of the mean  – 1 to 1  within 2 standard deviations of the mean -2 to 2  within 3 standard deviation of the mean -3 to 3 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) Let x represent a randomly selected number between the mi…

A) Let x represent a randomly selected number between the minimum and maximum values in #1; a and b represent the same values selected for #3.  Explain why x represents a continuous random variable. Copy and paste the provided chart into the answer field below. Verbal Statement Symbolic Statement using z-scores (Part B) Probability (Part C) the probability x is no more than a the probability x is at least b the probability x is between a and b B) Assume that the monthly milk production of Holstein cows is normally distributed, with the mean and standard deviation as determined ini #1A). Translate each verbal statement into symbolic form using z-scores. Enter your response into the copied chart using correct mathematical notation. C) Use the tool of your choice to determine the probabilities in the statements in part B). If using StatCrunch, select Stat CalculatorsNormal.  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. D) It is very unlikely that the probability found in #4C) are exactly the same as those found in #3. Explain why these differences exist.

A) Use the available tools to create the Summary statistics…

A) Use the available tools to create the Summary statistics for the monthly milk production values in the chart. Copy and paste the provided chart into the answer field and then insert the values generated in Excel OR StatCrunch. Summary statistics: Column n Mean Variance Std. dev. Median Range Min Max Q1 Q3 Monthly Milk Production B) 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. Download the histogram and save the image to your device. Embed the image into the answer field below. C) Based on the shape of the histogram 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 cart empty. Class Boundaries Frequency