please solve the 4 questions below by following the rubrics.

McDonald's Time Line Case Study McDonald's is an American fast food company. founded in [940 as a restaurant operated by Richard and Maurice McDonald. in San Bernardino. California. United States. They rechristened their business as a hamburger stand. and later turned the company into a franchise, with the Golden Arches logo being introduced in 1953 at a location in Phoenix. Arizona. The manager is interested in identifying the correct way to measure important variables describing McDonald's operations. When we assign this case. the manager is primarily evaluated on his effort in identifying factors that are important for the organization to determine. This is an easy case to do quickly. but can easily become challenging. The manager should not only be required to identify what is to be measured. but also hover it is measure. potential sources of bias and also identify the level of measurement. To accomplish this mission. the manager selected a simple random sample of customers and asked them about the time they received their orders. The collected data are expressed in the following frequency table: Customer waiting #of Hmegseeondsl customers [1 - 3t] 2 31 - t] 19 E1 - ED 4? Q1 - 120 54 121 - 150 E1 151 - 130 45 1B1 - 21D 51 211 - 240 42 241 - 2m 40 For the homework assignment. we look for a wellorganized and neatly presented written report including narrative that explains the graphs along with conclusions reached from analyzing the data. The central issue of this case involves the use of graphical descriptive statistical techniques. QIICLU l| { 5 marks] Organize the time data into a useable histogram and check how many customers receive their order in 90 seconds or less? Does it look good? QE|CLUI| I: 5 marks} If it doesn't look good. then this should lead to a discussion of what is important to measure. Therefore. distinguish between standing in line to place and order and. once it is placed waiting to receive it. That is check to see if service time as measured is different depending on the meal of Breakfast. Lunch and Dinner. where the collected data are shown below: Breakfast Lunch Dinner Classes Frequency Classes Classes Frequency Frequency 0 - 30 0 - 30 0 - 30 0 31 - 60 31 - 60 31 - 60 61 - 90 61 - 90 9 18 61 - 90 20 91 - 120 91 - 120 18 18 91 - 120 18 121 - 150 19 121 - 150 21 121 - 150 21 17 151 - 180 151 - 180 15 151 - 180 14 181 - 210 16 181 - 210 17 181 - 210 18 211 - 240 20 211 - 240 211 - 240 13 14 241 - 270 15 241 - 270 241 - 270 11 As it is shown in the above table, there is some difference between meals, but the overall pattern remains the same, most people spend more than 90 seconds getting their order. Therefore, analyze the data using numerical measures instead of tables and graphs. That is, determine the mean and the standard deviation for each meal. If you find that there is small variation between the three meals, then use a suitable measure to see which meal is more variable. (Hint: first determine the classmark for each interval). Q3[CLO3] ( 5 marks) If there are differences among the means of the three meals, then this could be due to what is called "sampling error". The main issue in this case is for manager to combine a confidence interval estimate with a sample size calculation. From the data set of 1000 common sample, the manager found that the sample proportion for the customer waiting time (in seconds) is equal to 0.1656. Construct a 95% confidence interval estimate to estimate the true population proportion for the customer waiting time (in seconds). Interpret the results. Q4 [CLO3] ( 5 marks) The manager was recommended to involve a hypothesis test. A question in a practical situation is always how to formulate the null hypothesis. Since new product introduction is always risky, and most new products fail a pragmatic approach is to require substantial proof before a new product is introduced. In words, the manager was recommended to test at 0.05 level of significance the null hypotheses: Desert purchases will not exceed 160 per 1000 orders. That is: Ho: 1 0.16. Test and interpret this claim.Assignment Evaluation Rubric Course Learning Excellent Students Faculty Outcomes Marks Comments Student will be able to Organize the time data into a useable histogram CLO1: Apply the (2 Marks) concepts of Deduce how many customers receive their order in statistics to 90 seconds or less? (2 Marks) organize and Results doesn't it look good? (1 Mark) summarize data Determine the mean and the standard deviation for each meal. (2 Marks) by using Recognize that there is small variation between the descriptive three meals. (1 Mark) statistics. Compare the coefficient of variation among the three (10 Marks) meals to indicate that Breakfast is less variable that the others. (2 Marks) CLO3: Devise Student will be able to confidence Find the critical value of z (1 Mark). intervals, sampling Evaluate the value of the proportion p. (1 Mark) methods, and Construct a 95% confidence interval to estimate the hypothesis testing true population proportion for the customer waiting time (in seconds). (2 Marks) for business Interpret the results (1 Mark) problems. Design the appropriate Null and Alternative (10 marks) Hypotheses (1 Mark) Evaluate the critical value (1 Mark) Determine the test statistics (1 Mark) Taking a decision of not rejecting the Null Hypothesis (1 Mark) Clarify the interpretation by stating that there is 5% risk to believe that the desert purchases are less than or equal to160 per 1000 orders. (0.5 Mark) Highlight on the fact that the sample average is greater or equal to 160 could be due to sample error. (0.5 Mark)