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A second semester class is studying the environment. One of the assignments is to grow bean plants in different soils. Ahmad chose to grow his bean plants in soil found outside his classroom mixed with dryer lint. Wong chose to grow her bean plants in potting soil bought at the local nursery. Lethmi chose to grow his bean plants in soil from his mother's garden. They were grown inside the classroom next to a large window. At the end of the growing period, each plant was measured, producing the data (in cm).
Table 2
Ahmad's Plants
Wong's Plants
Lethmi's Plants
24
21
23
30
23
25
31
23
20
-
23
27
22
30
20
Construct a complete Analysis of Variance table.
At a = 0.05, test whether the three soils in which the bean plants were grown produce the same mean height.
A swimming coach wants to know whether swimmers showed improvement in 100 meters freestyle event after attending a central training camp. As such, 12 swimmers were selected at random and their times were recorded twice: best time before attending the training camp and best time after attending the training camp. The objective of the study is to see whether the times recorded are faster (lower) after attending the training camp as compared to before attending. The times recorded (in seconds) are shown in Table 1.
Table 1
Swimmer
Before
After
1
81.32
76.48
2
69.35
66.18
3
70.65
65.15
4
77.53
74.82
5
86.68
77.69
6
75.37
69.42
7
68.43
67.34
8
64.10
55.17
9
83.28
87.40
10
88.85
84.73
11
61.47
59.34
12
99.96
82.04
Calculate the mean time difference after and before attending the training camp.
Calculate the standard deviation time difference after and before attending the training camp.
What assumptions should be made to conduct the hypothesis test?
At a = 0.05, can you support the claim that the mean time after attending the training camp is lower as compared to before attending the training camp? Assume the population variances are equal.
3. (15 points) Back propagation. Consider a 1-layer neural net with three input units, 1 output unit, no hidden units and no bias terms. Suppose that the output unit uses a sigmoid activation function, i.e., y-1/(1 + e-*), where z is the total input to the unit. Let y be the computed output of the neural net, let d be the desired output, and let C =-d logy-(1-d) log (1-y) be the cross entropy error. Write down the equations for a single step of weight updates by gradient descent (based on a single data sample), and derive all the necessary derivatives. Simplify your answers, and be sure to clearly identify all the variables you use. Hint: use the chain rule and recall the following results: Ologu 1 =y(1-y)
Q#3) 14- the main aim of the mechanical equivalent experiment of heat is to apply: a) Zerouth law b) Ist law c) 2nd law d) friction estimation 15- in the mechanical equivalent of heat the water introduce inside the drum should be 5 Cºbelow room temperature: a) To eliminate the change in internal energy. b) ToCancel out the heat transfer from or to the system, c) Balance the change in the work d) To get a constant coefficient of friction
2. Determine the level of service (LOS) for the eastbound approach of Maple Street (shown below) assuming no initial queue at the start of the analysis period. Hint: Recall from the lecture slides that each “intersection” has multiple “approaches,” and each approach may have multiple “lane groups.” For each lane group, its LOS can be determined by calculating its service measure (according to the HCM formula presented in the lecture slides) and comparing it with the threshold values of the HCM table below. For each approach, its LOS can be determined by aggregating (i.e., weighted average) the service measures of all of the lane groups that belong to the approach using the following equation and comparing it with the threshold values from the HCM table below. An analogous aggregation is needed if you want to determine the LOS of the whole intersection. di da = Ldivi, where da is the average delay per vehicle for approach A (in seconds), d; is the average delay per vehicle for lane group i (in seconds), and vị is the analysis flow rate for lane group i (in veh/h). di EA DAVA where d, is the average delay per vehicle for intersection 1 (in seconds) and VA is the dA analysis flow rate for approach A (in veh/h). LOS criteria for signalized intersections according to HCM) LOS Control delay per vehicle (sec/veh) A < 10 B > 10-20 С > 20-35 D > 35-55 E > 55-80 F > 80 The intersection and the peak hour volumes (in veh/h) are shown below.
60 70 310 150 300 900 1000 Both roadways are level (zero grade) 200 250 90 340 50 Vine Street Approach speed 35 mlh (55 kmh) Peak-hour traffic volumes Maple Street Approach speed 40 ml (65 km/h) 60 ft (18.3 m) Maple Street Approach speed 40 min (65 km/h) Vine Street ww ge peeds upeodoy (55 kmh) (11.0 m) The recommended signal phasing plan for the intersection is depicted below. Phase 1 Phase 2 Phase 3 The analysis lane groups for the three-phase design has been obtained as follows the way to read the figure: The left turn movements of eastbound (EB) and westbound (WB) approaches will each be a lane group. The through/right-turn movements of EB and WB approaches are each a lane group. The left turn movements of northbound (NB) and southbound (SB) approaches will each be a separate lane group. The through/right-turn movements of NB and SB approaches are also separate lane groups.) 4
Q#1) In one stage air compressor test, assume that 1.3 is the exponent index of a polytropic process, the manometer reading (21.5mmH2O), the volumetric efficiency is 85%, and the compressor driven power is 1.97 kW, and the inlet and outlet air temperatures 20 C and 35 C respectively, choose the correct answer: 1- the air volumetric flow rate in m/s is. d) 3.8E-3 d) 1.75 a) 3.2E-4 b) 338-4 c)3.3E-3 2-polytropic compressor power input in kW. a) 0.7 b) 1.0 c) 1.24 3- swept volume for the two cylinders of the compressor in m/s. a) 3.SEA , b) 4.5E-4 c) 4.5E-3 4-polytropic efficiency is a) 63 % b)73% c) 83 % d) 3.5E-4 d) 93% 5- the effect of increase the intake temperature of the air will a) reduce vol b) increase Tvol ) increase comp. Work d) a and 6- when the compressor pressure ratio Pa/Pi increase, the volumetric efficiency and mass rate will a) Increase b) decrease c) mass rate increase only d) else 7- If Pi= 1 bar, then Pa will be: a) 7 bar b) 9.5 bar c) 11.3 bar d) 15.2 bar
FIGURE P5.3. A moment M0 is applied to a beam of the cross section shown in Fig. P5.3. with its vector forming an angle of alpha . Use b = 100 mm, h = 40 mm, M0 = 800 N middot m, and alpha = 25 degree. Calculate (a) the orientation of the neutral axis; (b) the maximum bending stress.
A company sell vehicles for Ksh 6 million each and provides 3 years’ warranty on the engine of the car which cost is around sh 800,000. The company has sold 5400 units; the company has to estimate how many cars may come for engine replacement during the warranty period at 12%. However, there are claim that may be lodged for general damages for accidents suffered due to the engine failure. The general damages are reasonably possible and estimated at Ksh 300 million. Out of the general damages, Ksh 100 may be recovered from the association of motor vehicle insurers. Additionally, the company vehicle emission exceeds the global threshold of 0.2 kg per liter of fuel, if the government pass legislation on capping carbon emissions the company might (remote) be liable for about 2% of total sales. Required a) Using the above case explain the differences between provision, contingent liabilities and contingent assets b) Compute the provision necessary and pass the necessary journal entries c) Make the relevant disclosures for contingent liabilities d) Discuss all the issues where no disclosures or provision is made
Question : Draw influence charts for each of the following problems.
Your client is the planning office of a major university. Part of the job of the planning office is to forecast the annual donations of alumni through the university’s long-established giving program. Until now, the forecast has been made subjectively. The client wants you to develop a more objective approach. The Planning Office can make data available for the past 10 years that shows for each alumni class in that year:
- The number of living alumni in the class
- The number of givers
- Total direct donations from the class
- Other gifts for the class (e.g., employer matching)
