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1. How do we define an optimal test? How is that related to the notion of an optimal estimator? (hint: think of the ideal in each case).
2. Explain the notions of
(a) the power of a test at a point and
(b) the power function.
the eyepiece of a microscope has a focal length of 1.25 cm and the objective lens focal length is 1.49 cm.a if the tube
A 41.2-kg boy, riding a 2.65-kg skateboard at a velocity of +5.07 m/s across alevel sidewalk, jumps forward to leap over a wall. Just afterleaving contact with the board, the boy's velocity relative to thesidewalk is 6.60 m/s, 9.63° above the hori..
Air that occupies 0.15 cubic meters at 1.03e+05 Pa gauge pressure is expanded isothermally to atmospheric pressure and then cooled at constant pressure until it reaches its initial volume
A block of mass m and initial speed collides elastically with a block of mass 2m which is initially at rest. Assuming the positive direction is to the right and that there is no friction between the surface and the blocks, what is the velocity of the..
The hydrogen spectrum has a red line at 656 nm and a violet line at434 nm. What angular separation between two spectral lines obtained by a diffraction grating that has 4880lines/cm? (Suppose that the light is incident normally on the grating.)
A fan blade rotates with angular velocity given by ?z(t)= ? ? ? t2, where ? = 5.45rad/s and? = 0.835 rad/s3. Calculate the angular acceleration as a function of time
A projectile is fired with an initial speed of 65.8 m/s at an angle of 33.3? above the horizontal on a long flat firing range, Determine the total horizontal distance covered
A car with a mass of 2400 kg is traveling at a speed of 40.0 km/h on an icy road when it collides with a 10000 kg truck which was traveling toward the car with the speed of 18 km/h. Find the change in the kinetic energy of the system
A vertical scale on a spring balance reads from 0 to 160 N. The scale has a length of 12.5cm from the 0 to 160 N reading. A fish hanging from the bottom of spring oscillates vertically at the frequency of 2.30 Hz. ignoring the mass of the spring, wha..
A sound wave in our classroom has speed of 380 m/s. There is a speaker at each end of the table that has 4.0 m length. What is the phase minimum phase difference between the waves arriving to you from the two speakers
What is the resistance of a light bulb that uses an average power of 55 W when connected to a 60Hz power source with a peak voltage of 170 V? What is the resistance of a 80 Wbulb?
A closed gas system initially has volume and temperature of 4360mL and 646.0C with the pressure unknown. what was the initial pressure in torr
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