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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
1 how does the neyman-pearson procedure solve the problem of a trade-off between the type i and type ii errors2 explain
1 explain the concept of a p-value as used by fisher2 a hypothesis of interest in a neyman-pearson test specified byis
1 compare a test as viewed by edgeworth and pearson what has pearson added to testing a hypothesis of interest2
two forces of magnitude 3p and 2p respectively acting at point have a resultant of rif the first force is doubled the
a cylinder with rigid well-insulated walls is divided into two parts by a rigid insulating wall with a small hole in it
a container with rigid well-insulated walls is divided into two parts by a partition one part contains a gas and the
consider using the apparatus shown in given figure a known as the joule paddle wheel to determine the specific heat at
a cylindrical cocktail glass 15 em high and 35 cm2 in cross section contains water up to the 10-cm mark a card is
two bulbs containing air one of which has a volume three times the other are connected by a tube of negligible volume
a show that the heat transferred during an infinitesimal quasi-static process of an ideal gas can be writtendq cvnrv
a steel ball of mass 109 is placed in the tube of cross-sectional area 1cm2 in rchhardtamp39s apparatus the tube is
1 prove that the expression for the speed of a longitudinal wave in an ideal gas may be writtenw radicdeltapdeltarhos2
figure represents a simplified pv diagram of the joule ideal-gas cycle all processes are quasi-static and cr is
figure represents a simplified pv diagram of the sargent ideal-gas cycle all processes are quasi-static and the heat
given figure represents an imaginary ideal-gas cycle assuming constant heat capacities show that the thermal efficiency
an imaginary ideal-gas engine operates in a cycle which forms a rectangle with sides parallel to the axes of a pv
a vessel contains 10-3nbspm3nbspof helium gas at 3 k and 103 pa take the zero of internal energy of helium to be at
1 in the tropics the water near the surface is warmer than the deep water would an engine operating between these two
a storage battery is connected to a motor which is used to lift a weight the battery remains at constant temperature by
a convenient measure of the performance of a refrigerator is expressed by the coefficient of performance w which is the
there are many paramagnetic solids that have internal energies which depend only on temperature like an ideal gasin an
prove that it is impossible for two reversible adiabatics to intersecthint assume that they do intersect and complete
take an ideal monatomic gasgamma 53around the carnot cycle where point 1 at the beginning of the adiabatic compression
an inventor claims to have developed an engine that takes in 100000btu at a temperature of 400 k rejects 40000 btu at a