A Cl is desired for the true average stray-load loss mu (watts) for a certain ty

Question

A Cl is desired for the true average stray-load loss mu (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 sigma = 3.1. (Round your answers to two decimal places.) (a) Compute a 95% Cl for mu when n = 25 and x = 55.2. (b) Compute a 95% Cl for mu when n = 100 and x = 55.2. (c) Compute a 99% Cl for mu when n = 100 and x = 55.2. (d) Compute an 82% Cl for mu when n = 100 and x = 55.2 (e) How large must n be if the width of the 99% interval for mu is to be 1.0? (Round your answer up to the nearest whole number.)

Explanation / Answer

confifence intervel= xbar+/-z*s?sq.root n

a)z value for 95%=1.96

55.2+/- 1.96*3.1/sq.root25

=55.2+/-1.96*3.1/5

=(53.9848,56.4152)

b)

55.2+/-1.96*3.1/10

55.2+/-0.6076

54.5924,55.8076

c)

99% z=2.576

=55.2+/-2.576*3.1/10

=55.2+/-0.79856

=55.99856,54.40144

d)

82%,z=1.34

55.2+/-1.34*3.1/10

55.2+/-0.4154

(54.7846,55.6154)

  

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