In an experiment to compare the tensile strengths of i = 6 different types of copper wire, j = 5 samples of each type were used. the between-samples and within-samples estimates of σ2 were computed as mstr = 2637.3 and mse = 1095.2, respectively. use the f test at level 0.05 to test h0: μ1 = μ2 = . . = μ6 versus ha: at least two μi's are unequal. calculate the test statistic. (round your answer to two decimal places.) f =

Find the magnetic field a distance r from the center of a long wire that has radius a and carries a uniform current per unit area j in the positive z direction.

You are given two vectors a⃗ =−3.00ι^ 5.00j^ and b⃗ =5.00ι^ 2.00j^. let the counterclockwise angles be positive.

Afisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. it takes a time of 2.20 s for the boat to travel from its highest point to its lowest, a total distance of 0.670 m . the fisherman sees that the wave crests are spaced a horizontal distance of 5.80 m apart. (a) how much is the wavelength? (b) find the period of the wave. (c) how fast are the waves traveling? (d) what is the amplitude a of each wave?