Question

A CI is desired for the true average stray.load loss (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray.load loss is normally distributed with a 3.1. (Round your answers to two decimal places.) (a) Compute a 95% CI for when - 25 and X - 54.0. (b) Compute a 95% CI for when - 100 and X - 54.00 watts (c) Compute a 99% CI for when n 100 and X - 54.0. ) watts (d) Compute an 82% Cl for when n - 100 and X - 54.0. ) watts (e) How large must be if the width of the 99% interval for p is to be 1.07(Round your answer up to the nearest whole number)

Answer 1

Given that :- 8= 3.1 Nax. n=25 , The 95% X=54 confidance interval for lux (X I za I [ 54 I 20.025 3.1 125 → [ 54 I (1.96) (0.62) ] {2/2 using z-table? 3 [54 I 1.2152] => (52.79, 55.22) - n = 100 7,54 The 95% confidance interval for u 6 → 54 I (1.96) 3.1 ſloo Z using 2-table- → [ 54 I 1,96 x 0.31 7 » [ 54 I 0.6076 ? ( 53.39, 54.61)

© n=100, X= 54 18 = The 99% confidance interval for u X + Zap of ( 54 € 20.0005 3.1 24₂ using √loo 2 table = [54 I (2.575)(0.31) J + [ 54 +0.7983.) - [ 53.20 , 54.80] v n=150, X=54 The 82% confidance interval for u n + [ 54 + (1.35) (0.31 24 using z table] = [ 54 + 0.4185] 01 = ( 53.58, 54,42]

0=31 Given, margin of erori x=0.01 margin of emora Z4 Tage 1 = (2.575 ) X 3.1 un wing 2-table / n = 7:9825 na 64 ✓