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an aluminum tube with a 15 inch diameter with an average speed of 150 ft/min and specific volume of
solve the recurrence relation using generating functions An+1-An=3n )n>0 with AQ=1
suppose that the average outstanding credit card balance for young professionals is Php 11,200 with standard deviation of Php 2,600. In simple random sample of 150 young professionals, what is the probability that the mean outstanding credit card balance does not exceeds Php 12, 300?
There is a conflict between the manager and one of the employees in the procurement department of the company. They are in disagreement on whether the company should make charitable. According to the manager the company should not give money to charity because it does not generate any income
A 30 kg block is pushed up an inclined plane at an angle of 25° with a constant
velocity of 4 m/s by a force of 280 N parallel to the plane. What is the coefficient of
kinetic friction between the block and the plane?
Q.You have been hired as a researcher for a prominent research-based organization and you have been allocated a new project for helping out a client.
You know that the time taken to complete similar projects is normally distributed with a mean of 50 days and a standard deviation of 4 days.
a. What is the probability of finishing this project within 45 – 55 days? (5 Marks)
b. When do we use Poisson Distribution? Give two example scenarios. (5 Marks)
Consider the following sample. It contains the weights of 25 participants:
55, 57, 58, 43, 62, 67, 71, 69, 66, 51, 72, 62.5, 58.5, 61, 72.5, 75, 44, 48, 49, 49.5, 49, 62, 66, 71, 58.
Calculate and plot the following using MS-Excel.
Write the formula and show the steps.
a. Variance
b. Standard deviation
c. Histogram
d. Ogive
Note: For histogram and ogive use bins numbers as 40, 45, 50, 55, 60, 65, 70
A health scientist has created three different diet plans for a weight loss program. He conducted an experiment with 24 volunteers to see the impact on weight loss. He measured the weights of the volunteers before the start of the diet plan. Then they were assigned to one specific diet plan for a month. After one month their weights were measured again. The differences in weights are given in the table below for each of the diet plans. Read data table and answer the questions.
Table (3Rows/8 columns)
DietPlan1|DietPlan2|DietPlan3
2 -2.1 7
8.5 2 5.6
1.9 1.7 3.4
3.1 4.3 6.8
1.5 7 7.8
3 0.6 5.4
0.9 2.7 6.8
2.8 2 5
a. Conduct ANOVA on the above table. Do you find a significant difference in weight loss due to the three diet plans?
Explain and interpret using both the p-value and F-critical value from the output. Use MS-Excel for the analysis.
b. Why do you think ANOVA is required to answer this question?
Suppose that aggregate demand increases, starting from an equilibrium income level. This implies upwards pressure on the average consumption levels and output that increases. Since the standard of living of employees decreases owing to the higher prices, the employees will start to negotiate higher nominal wages. This is called the short-run demand adjustment process. True or False
Create a drawing of how you can represent a contemporary art form based on the elements and principles.
