A CI is desired for the true average stray-load loss μ (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 o = 2.9. (Round your answers to two decimal places.) (a) Compute a 95% CI for μ when n = 25 and x = 52.9. 54.04 ) 51.76 (b) Compute a 95% CI for u when n = 100 and X = 52.9. 53.47 watts 52.33 52.15 I (c) Compute a 99% CI for when n = 100 and Xx = 52.9. 53.65 watts watts 52.51 (d) Compute an 82% CI for μ when n = 100 and x = 52.9. 53.29 ) wa X watts (e) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.) n = 56

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A CI is desired for the true average stray-load loss μ (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 o = 2.9. (Round your answers to two
decimal places.)
(a) Compute a 95% CI for μ when n = 25 and x = 52.9.
54.04
)
51.76
(b) Compute a 95% CI for μ when n = 100 and x = 52.9.
53.47
)
52.33
52.15
I
(c) Compute a 99% CI for μ when n = 100 and x = 52.9.
53.65
)₁
52.51
I
watts
I
watts
(d) Compute an 82% CI for u when n = 100 and x = 52.9.
53.29
)₁
X
watts
watts
(e) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole
number.)
n = 56
Transcribed Image Text:A CI is desired for the true average stray-load loss μ (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 o = 2.9. (Round your answers to two decimal places.) (a) Compute a 95% CI for μ when n = 25 and x = 52.9. 54.04 ) 51.76 (b) Compute a 95% CI for μ when n = 100 and x = 52.9. 53.47 ) 52.33 52.15 I (c) Compute a 99% CI for μ when n = 100 and x = 52.9. 53.65 )₁ 52.51 I watts I watts (d) Compute an 82% CI for u when n = 100 and x = 52.9. 53.29 )₁ X watts watts (e) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.) n = 56
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