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- You are a food specialist in a company that specializes inrefrigerated delicacies, and one of your brands requires beingmaintained at a temperature of 5°C. You determine averagewater activity (aw) at this temperature to be 0.2. One day, you are informed that the cooling systems onone of the delivery trucks carrying your company’s productsmalfunctioned while en route to its destination and it would notbe fixed until the next delivery. The driver has informed you thatthe temperature in the delivery bay of the truck is averaging55°C. You estimate a heat of sorption (Q) of 19 kJ/mol. Calculate the water activity of the brand at this elevatedtemperature and comment on it’s integrity. Should the deliverystill push through? Or should the products be recalled anddisposedA cosmetics company fills its best selling jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 7.2 ounces per jar. Uncontrollable factors in the process can cause either underfill or overfill, both of which are undesireable. In such a case, the dispensing can be stopped and recalibrated. Regardless of the mean amount despensed, the standard deviation of the amount dispwnsed always has a value of 0.25 ounce. A quality control engineer routinely selects 36 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 7.8 ounces. Determine if there is sufficient evidence in the sample to indicate, at the 1% level of significance, that the machine should be recalibrated.The relationship between study hours and exam score was estimated as below in a linear format. Exam score = 6.24 * Study hours + 54.72 (The p-value for the coefficient of Study hours is 0.04.) How can the relationship between exam score and study hours be interpreted? As a person studies 1 more hour, his or her exam score is expected to decrease by 6.24 points. As a person studies 1 more hour, his or her exam score is expected to increase by 6.24 points. There is no meaningful relationship between exam score and study hours from a statistical point of view.
- A family of mutual funds maintains a service that allows clients to switch money among accounts through a telephone call. It was estimated that 3.2% of callers either get a busy signal or are kept on hold so long that they may hang up. Fund management assesses any failure of this sort as a $10 goodwill loss. Suppose that 2,000 calls are attempted over a particular period. a. Find the mean and standard deviation of the number of callers who will either get a busy signal or may hang up after being kept on hold. b. Find the mean and standard deviation of the total goodwill loss to the mutual fund company from these 2,000 calls.Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the shape of the distribution of the set of averages? a) Uniform b) Non-normal c) No requirements, any shape d) Bell ShapedMeena Chavan Corp.’s computer chip production process yields DRAM chips with an average life of 1,800hours and s = 100 hours. The tolerance upper and lowerspecification limits are 2,400 hours and 1,600 hours, respectively. Is this process capable of producing DRAM chips tospecification?
- Output from a process contains 0.02 defective unit. Defective units that go undetected into final assemblies cost $25 each to replace. An inspection process, which would detect and remove all defectives, can be established to test these units. However, the inspector, who can test 20 units per hour, is paid $8 per hour, including fringe benefits. Should an inspection station be established to test all units? Assume that the line will operate at the same rate (i.e., the current production rate) regardless of whether or not the inspection operation is added. a-1. Without the inspector, what is the current hourly cost of defects? a-2. Should an inspection station be established to test all units based on costs alone? multiple choice Yes No a-3. If the inspection operation is added, what would be the cost to inspect each unit? Note: Round your answer to 2 decimal places. b. What would be the benefit (or loss) from establishing the inspection process? Note: Round your answer…Directions: For each of the following situations: a. indentify the independent variable/s b. name the dependent variable; and c. give the two attributes of each variable A study on customer's satisfaction based on the quality of food offered in fast foods.Using traditional methods, it takes 101 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 100 students and observed that they had a mean of 102 hours. Assume the variance is known to be 16. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.
- An air flow process has a flow rate of 0.76kg/s. The power input is 30KW and the heat transfer out is 3KW. Determine the specific enthalpy change and state if it is gain or loss.Mr. Ferdinand is a well known entrepreneur who sells fresh organic beef to persons in the localcommunity. Customers love the quality of meet that Mr. Ferdinand sells so they tend torecommend his product to other persons. Recently, Mr. Ferdinand has been running out of beefto sell to his customers. One customer suggests to him that he must use past sales records toforecast demand for his beef so that he can meet his customers demand. 1. Using a numerical example, demonstrate to Mr. Ferdinand how he can use a three-week and a four-week weighted moving average to forecast demand for his beef.Mr. Ferdinand is a well-known entrepreneur who sells fresh organic beef to persons in the localcommunity. Customers love the quality of meet that Mr. Ferdinand sells so they tend torecommend his product to other people. Recently, Mr. Ferdinand has been running out of beefto sell to his customers. One customer suggests to him that he must use past sales records toforecast demand for his beef so that he can meet his customers' demand.I. Using a numerical example, demonstrate to Mr. Ferdinand how he can use a three-week and a four-week weighted moving average to forecast demand for his beef.II. Show how Mr. Ferdinand can test the accuracy of his forecast. III. Explain to Mr. Ferdinand two ways in which he can benefit from doing a forecast for his beef.