Questions with Complete Solutions - Hamro CSIT

Diet X runs a number of weight reduction centers within a large town in the north east of Nepal. From the historical data it was found that the weight of the participants is normally distributed with mean 76 kg and standard deviation 5.2 kg. Calculate the probability that the average sample weight is greater than 78 when 25 participants are randomly selected for the sample.

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A population consists of the four number 4, 7, 10 and 11. (i) Write down all possible samples of size 2 which can be drawn without replacement from this population. (ii) Find the mean of sampling distribution of means and show that it is equal to the population mean. (iii) Find the variance of sampling distribution of means. (iv) Find the standard error of sample mean.

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Company A recently developed an epoxy painting process for corrosion protection on exhaust components. Mr.Y, the owner, wishes to determine whether the lengths of life for the paint are equal for three different conditions: saltwater, fresh-water without weeds, and freshwater with a heavy concentration of weeds. Accelerated-life tests were conducted in the laboratory, and the number of hours the paint lasted before peeling was recorded.

Condition Value 1 Value 2 Value 3 Value 4 Value 5

Saltwater 167.4 189.6 177.2 168.4 180.3

Freshwater without weeds 160.5 177.6 185.3 170.9 176.6

Fresh water with weeds 180.7 164.4 172.9 169.2 170.7

Use the Kruskal-Wallis test at 0.01 level of significance to determine whether the lasting quality of the paint is same for the three water conditions.

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Differentiate between Z-test at t –test. Industrial wastes, sewage dumped into our rivers, streams absorb oxygen and thereby reduce the amount of dissolved oxygen available for fish and other forms of aquatic life. One state agency requires a minimum of 8 parts per million (ppm) of dissolved oxygen in order for the oxygen content to be sufficient to support aquatic life. Eight water specimens taken from a river at a specification location during the low-water season gave the readings 4.5, 5.1, 4.8, 4.9, 5.1, 4.9, 5.0 and 4.7 ppm of dissolved oxygen. Do the data provide sufficient evidence to indicate that the dissolved oxygen content is less than 5ppm? Use 5% level of significance.

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The following sample data were collected to determine the relationship between two processing variables and the current gain of a transistor in an integrated circuit.

Diffusion time in hours (x1) Sheet resistance ohm-cm (x2) Current gain (y)

1.5 65 5.2

1.2 140 9.8

0.5 70 7.5

2.7 92 10.8

1.6 123 12.6

0.3 105 9.1

(i) Fit a regression equation and use this equation to estimate the expected current gain when the diffusion time is 1.8 hours and the sheet resistance is 90 ohm –cm.

(ii) Compute the coefficient of multiple determination and interpret its value.

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A proton is accelerated through a potential difference of 200V. It then enters a region which there is a magnetic field B = 0.5 T. The magnetic field is perpendicular to the direction of motion of the proton. Find the force experienced by the proton.

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A small particle of mass 10^-6 g moves along the x axis; its speed is uncertain by 10^-6 m/sec. (a) What is the uncertainty in the x coordinate of the particle? (b) Repeat the calculation for an electron assuming that the uncertainty in its velocity is also 10^-6 m/sec.

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Write short notes on:

a. Lighting in OpenGL

b. Orthographic projection

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Discuss the use of virtual reality in education. How does VR enhance student engagement and learning outcomes?

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What is constant intensity shading? Compare Phong shading and fast Phong shading.

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