A company that produces computers claims that that the average life of one of their computers is 8 years. A sample of 12 computers shows a sample mean life of 7.8 years, with a population standard deviation of 0.2 years. Does the data suggest that the average life of one of the computers is not 8 years at 0.05 level significance? Assume computer lifetimes are normally distributed.

1. Give null and alternate hypothesis

2. Give test statistic and P value, state conclusion

3. State what type 1 and type 2 errors would be

Consider the following time series data.

a. develop the three-week moving average forecasts for this time series. Compute MSE and a forecast for week 7 (to 2 decimals if necessary).

b. use = 0.2 to compute the exponential smoothing forecasts for the time series. Compute MSE and a forecast for week 7 (to 2 decimals).

c. use a smoothing constant of =0.4 to compute the MSE (to 2 decimals).

A red blood cell has a disk diameter of 0.6 micrometers and an intracellular isotonic osmolarity of 290mOsmol/l at a temperature of 293 kelvin. The hydraulic permeability of the red blood cell is 2.4 micrometer atm^-1min^-1 with a b inactive fraction intercept of 0.2. Calculate the normalized cell volume and plot it against osmolarity variations between 50mOsm to 850mOsm. Plot another graph that represents cell volume variations against time when the extracellular isotonic osmolarity varies from 290mOsmol/l to 990mOsm/l.

A) Solve the initial value problem:

8x−4y√(x^2+1) * dy/dx=0

y(0)=−8

y(x)=

B)  Find the function y=y(x) (for x>0 ) which satisfies the separable differential equation

dy/dx=(10+16x)/xy^2 ; x>0

with the initial condition y(1)=2
y=

C) Find the solution to the differential equation

dy/dt=0.2(y−150)

if y=30 when t=0

y=

Determine the quality (if saturated) or temperature (if superheated) of the following: (show details of your answer, not just write the final answer)

a) Water at p=50 kPa, v=1 m3/kg

b) Water at p=1.6 MPa, v=0.15 m3/kg

c) Water at p=7 MPa, h=3160 kJ/kg

d) Refrigerant R-134a at p=200 kPa, v=0.009 m3/kg

e) Refrigerant R-134a at p=0.2 MPa, v=0.12 m3/kg

1. Consider water flowing upwards through the 22.5^o reducing elbow (22.5^o angle to horizontal axis). If diameters of the elbow at entrance point and exit points are 0.02540 m and 0.01905 m respectively, elbow is 0.1 m high, velocities of water are 5 m/s and 9 m/s at entrance point and exit point respectively, and density of water is 1000 kg/m³_, moment flux correction factor = 1.02.
2. 1. Determine gage pressure at inlet
3. 2. Determine vertical component of force of the system, if weight of the system is 0.2 kg.

1. The length of a magnetic circuit of a relay is 25 cm and the cross-sectional area is 6.25 cm². The length of the air-gap in the operated position of the relay is 0.2 mm. Calculate the magnetomotive force required to produce a flux of 1.25 mWb in the air gap. The relative permeability of magnetic material at this flux density is 200. Calculate also the reluctance of the magnetic circuit when the relay is in the unoperated position, the air-gap then being 8 mm long (assume μ_r remains constant).

[2307 AT, 1.18 x 10⁷ AT/Wb]

A long, straight wire carrying a current I₁ is placed on a horizontal table in front of you and the direction of the current points +x axis. The magnetic field produced by the current I₁ at a point 5 cm above the wire is 0.2 T. A second parallel wire carrying a current I₂ = 3I₁ is placed 10 cm above the first wire and the direction of the current also points +x axis. What is the magnitude of the net magnetic field produced by these two currents at a point 5 cm above the table?

1a. If a 10^-2 dilution of a culture yields 150 colonies when 0.5 ml is spread on a plate, how many colonies will grow on a plate that receives 0.1 ml of the same dilution?

1b. How many CFU per ml are present in a sample if 0.2 ml of a 10^-5 dilution grew 220 colonies?

1c. How many colonies do you expect when 0.4 ml of a 10^-7 dilution of a culture containing 10^9 CFU per ml is plated onto nutrient media?

This basic problem is a practical application of if-statement(s).

Write a function called bolt_check that takes one scalar input argument and returns one scalar output argument. The input represents the measured length of a machine screw during the quality-assurance phase of its manufacturing. The purpose of the function is to categorize the measured length into one of six categories. If the measured length is within two percent of one of its five nominal lengths-- 3/8, 1/2, 5/8, 3/4, or 1 (inch), then the nominal length is returned. Otherwise 0 is returned, signifying that the bolt failed the test. You may find that the built-in function abs for absolute value is useful for this problem.

You may submit your work as many times as you want. Try to get 100%!

This basic problem is a practical application of if-statement(s).

Write a function called bolt_check that takes one scalar input argument and returns one scalar output argument. The input represents the measured length of a machine screw during the quality-assurance phase of its manufacturing. The purpose of the function is to categorize the measured length into one of six categories. If the measured length is within two percent of one of its five nominal lengths-- 3/8, 1/2, 5/8, 3/4, or 1 (inch), then the nominal length is returned. Otherwise 0 is returned, signifying that the bolt failed the test. You may find that the built-in function abs for absolute value is useful for this problem.

You may submit your work as many times as you want. Try to get 100%!

This basic problem is a practical application of if-statement(s).

Write a function called bolt_check that takes one scalar input argument and returns one scalar output argument. The input represents the measured length of a machine screw during the quality-assurance phase of its manufacturing. The purpose of the function is to categorize the measured length into one of six categories. If the measured length is within two percent of one of its five nominal lengths-- 3/8, 1/2, 5/8, 3/4, or 1 (inch), then the nominal length is returned. Otherwise 0 is returned, signifying that the bolt failed the test. You may find that the built-in function abs for absolute value is useful for this problem.

You may submit your work as many times as you want. Try to get 100%!

This basic problem is a practical application of if-statement(s).

Write a function called bolt_check that takes one scalar input argument and returns one scalar output argument. The input represents the measured length of a machine screw during the quality-assurance phase of its manufacturing. The purpose of the function is to categorize the measured length into one of six categories. If the measured length is within two percent of one of its five nominal lengths-- 3/8, 1/2, 5/8, 3/4, or 1 (inch), then the nominal length is returned. Otherwise 0 is returned, signifying that the bolt failed the test. You may find that the built-in function abs for absolute value is useful for this problem.

You may submit your work as many times as you want. Try to get 100%!

This basic problem is a practical application of if-statement(s).

Write a function called bolt_check that takes one scalar input argument and returns one scalar output argument. The input represents the measured length of a machine screw during the quality-assurance phase of its manufacturing. The purpose of the function is to categorize the measured length into one of six categories. If the measured length is within two percent of one of its five nominal lengths-- 3/8, 1/2, 5/8, 3/4, or 1 (inch), then the nominal length is returned. Otherwise 0 is returned, signifying that the bolt failed the test. You may find that the built-in function abs for absolute value is useful for this problem.

You may submit your work as many times as you want. Try to get 100%!

This basic problem is a practical application of if-statement(s).

Write a function called bolt_check that takes one scalar input argument and returns one scalar output argument. The input represents the measured length of a machine screw during the quality-assurance phase of its manufacturing. The purpose of the function is to categorize the measured length into one of six categories. If the measured length is within two percent of one of its five nominal lengths-- 3/8, 1/2, 5/8, 3/4, or 1 (inch), then the nominal length is returned. Otherwise 0 is returned, signifying that the bolt failed the test. You may find that the built-in function abs for absolute value is useful for this problem.

You may submit your work as many times as you want. Try to get 100%!

This basic problem is a practical application of if-statement(s).

Write a function called bolt_check that takes one scalar input argument and returns one scalar output argument. The input represents the measured length of a machine screw during the quality-assurance phase of its manufacturing. The purpose of the function is to categorize the measured length into one of six categories. If the measured length is within two percent of one of its five nominal lengths-- 3/8, 1/2, 5/8, 3/4, or 1 (inch), then the nominal length is returned. Otherwise 0 is returned, signifying that the bolt failed the test. You may find that the built-in function abs for absolute value is useful for this problem.

You may submit your work as many times as you want. Try to get 100%!

This basic problem is a practical application of if-statement(s).

In matLab: Write a function called bolt_check that takes one scalar input argument and returns one scalar output argument. The input represents the measured length of a machine screw during the quality-assurance phase of its manufacturing. The purpose of the function is to categorize the measured length into one of six categories. If the measured length is within two percent of one of its five nominal lengths-- 3/8, 1/2, 5/8, 3/4, or 1 (inch), then the nominal length is returned. Otherwise 0 is returned, signifying that the bolt failed the test. You may find that the built-in function abs for absolute value is useful for this problem.

You may submit your work as many times as you want. Try to get 100%!