The signal x(t) below is the input to a system with an impulse response h(t) shown below. Determine the output of the system y(t) and find y(3). ... -6 -3 -2 2 1 2 3. x(t) h(t) 3 4 3 4 t
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- hw3q4hw3q3Bill Kime's bowling ball factory makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.39 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows Day 1 2 3 4 5 6 Average (lb) 9.9 9.9 10.1 10.1 99 99 Day 7 8 9 10 11 12 Average (lb) Day Average (b) 13 14 15 16 17 18 10.1 10.0 10.0 10.1 10.1 10.0 9.9 10.1 10.1 10.0 10.1 10.1 Day 19 20 21 22 23 24 Average (lb) 99 10.0 10.1 9.9 10.0 10.0 a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean What are the values of the control limits? Upper Control Limit (UCL)=b (Round your response to two decimal places)
- What is the meaning of x ̅ ~ N (50, 2)? 1. The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2 2. Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50 3. x is normally distributed with a mean of 50 and a standard deviation of 2 4. x-bar is normally distributed with a mean of 2 and a standard deviation of 50(29) Please calculate the standard deviation for the following. Please round to 2 decimals (if answer is 10% please answer 10.00) State of nature Eret A B C D 5.50% 8% -2% 3.60% Probability 14% ? 31% 48%What is the meaning of x ~ N (50, 20)? 1. Sampling distribution of x is distributed with a mean of 20 and a standard deviation of 50 2. x-bar is normally distributed with a mean of 20 and a standard deviation of 50 3. x is normally distributed with a mean of 50 and a standard deviation of 20 4. Sampling distribution of x is distributed with a mean of 50 and a standard deviation of 20
- T = -25°C A 0.5 m × 1 m double paned window is made of two silica glass panes 1 cm thick, with air in between. Under steady conditions, linear (constant gradient) Outdoors temperature profiles are found in both silica panes, as well as the air. If the room (and the inner surface of h=18Wm²K the inner glass pane) is at a temperature of 25°C, while outdoors it is -25°C with a convection coefficient of 18 W m² K-1, what is the rate of heat loss through the window? What is the rate of heat loss if the room temperature is decreased to 20°C? Finally, what is the rate of heat loss for a room temperature of 25°C, but with one of the panes (and the air) removed? 1 cm 1 cm Room Temperature, 25° C or 20º C 0.5 mm Air, k=0.024 W m¹ K¹ Silica glass, k = 0.90 W m³ KYou 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 anddisposedSuppose you are analyzing processing times for a machining operation. In your analysis, you found C, = 2.1 and Cpk = 1.28. Given this information, which of the following sigma levels is the highest that you could claim your process is capable of meeting? O 1 sigma O 2 sigma 3 sigma O 4 sigma 5 sigma O 6 sigma
- 1. Statistical process control, hypothesis testing, and control charts Consumers value prompt service when they order takeout or delivered pizza, and pizza restaurants compete for customers by making time promises. Papa John's, for instance, offers a 10-minute takeout guarantee. Domino's advertises a 30-minute delivery time. Suppose that the quality control manager at a nationwide pizza chain defines this production variable: An order is processed on time or late. Every night, a random sample of pizza orders is selected, and data are collected on the production variable for each order in the sample. To detect a change in the number of orders that are late, the quality control manager uses Based on the control chart, the quality control manager decides that the variation in output is due to assignable causes. Consequently, the manager concludes that the production process is ; it is Statistical procedures for process control use a hypothesis-testing framework. The null and alternative…The following data was recorded while observing the increase in the number of butterflies in two different ponds, Pond A and Pond B. Number of Butterflies Present Over 5 Years Year Pond A Pond B 0 50 65 85 1 2 3 4 5 100 O 110 121 133 146 161 110 143 186 What is the rate of growth, r, for each pond and which pond has the fastest average rate of growth over the five years? TA = 1.1, TB = 1.3, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg=27.2 butterflies/yr TA = 1.1, TB = 1.3, mg=27.2 butterflies/yrCalculate the impulse response h[n] of an ideal high-pass FIR filter with a cut-off frequency of 1 kHz, for a system sampled at 8 kHz. To obtain the desired filter, apply a frequency transformation to a low pass filter correctly calculated according to these specifications, take N = 8
