In the introduction to the scenario, it states “Your boss wants to solve the problem at hand and has asked you to investigate.” Your job for this assignment is to submit a formal investigative report to your boss with all the findings. Therefore, you need to have an introduction to the report, the findings, and then a conclusion. In the introduction, you need to discuss the problem at hand and what you did to investigate the claims made by the customers. Make sure the introduction is clear, coherent, and understandable. For the findings part of this assignment, please follow these instructions carefully: I. Calculate the mean, median, and standard deviation for ounces of bottles. (28 Points) Use technology to calculate the mean, median, and standard deviation for the data. PLEASE DOUBLE-CHECK YOUR DATA TO MAKE SURE IT WAS INPUTTED CORRECTLY! One error will spoil the whole bunch! Make sure you specify in words and symbols what each value represents. The sample mean is represented by x-bar…. The median is represented by MD (your textbook uses this symbol so use this one) The sample standard deviation is represented by the letter s. Round all solutions to 3-decimal places. II. Construct a 95% confidence interval for the ounces in the bottles. (38 Points) Since the instructions state to construct a 95% confidence interval, you must complete that by hand, showing ALL your work and steps. You are more than welcome to check your solution using technology but you need to show all your work on this part of the assignment. Once you complete the actual confidence interval, you must interpret the confidence interval in the context of the problem. Remember when you interpret statistics, you use simple language that can be understood by the general public. Again, round all decimals to 3-decimal places. Lastly, make sure to explain the logic behind using a z-interval or t-interval. Read the week #7 announcement for details. III. Conduct a hypothesis test to verify if the claim that a bottle contains less than 16 ounces is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test. (46 Points) Regarding the hypothesis test, please make sure to include the following: Use a significance level (α-level) of 0.05. It does not state this in the problem. State the hypothesis statements using the appropriate notation. The null hypothesis is notated as H0: The alternative hypothesis is notated as H1: OR HA: Calculate the value of the test statistic (by hand) The test statistic is either a z-statistic or a t-statistic.. Again, round the test-statistic to 3-decimal places.You must determine which test statistic (z or t) is the appropriate one for the given situation. Make sure to explain the logic behind using a z-test or t-test. Read the week #8 announcement for details. Find the p-value (or critical value) for the hypothesis test. State and explain your conclusions based on the p-value (as compared to the α-level) or the critical value (as compared to the test statistic). State your statistical conclusion…Reject the Null Hypothesis OR Fail to Reject the Null Hypothesis State your simple conclusion so that it is understood by the general public. Interpreting the results of a statistical hypothesis test is very important. IV. For the conclusion, there is nothing “fancy” or “statistical” about this part of the assignment. Make your speculations and strategies clear, coherent, and understandable. (21 Points) V. Make sure to read the formatting requirements carefully and follow them exactly as instructed. Complete a spelling/grammar check BEFORE submitting your assignment. (7 Points)