exercise:Aee3914ca3: Difference between revisions
From Stochiki
(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Bridies' Bearing Works manufactures bearing shafts whose diameters are normally distributed with parameters <math>\mu = 1</math>, <math>\sigma = .002</math>. The buyer's specifications require these diameters to be <math>1.000 \pm .003</math> cm....") |
No edit summary |
||
| Line 1: | Line 1: | ||
Bridies' Bearing Works manufactures bearing shafts whose diameters are normally distributed with parameters <math>\mu = 1</math>, <math>\sigma = .002</math>. The buyer's specifications require these diameters to be <math>1.000 \pm .003</math> cm. What fraction of the manufacturer's shafts are likely to be rejected? If the manufacturer improves her quality control, she can reduce the value of | |||
diameters are normally distributed with parameters <math>\mu = 1</math>, <math>\sigma = .002</math>. The | |||
buyer's specifications require these diameters to be <math>1.000 \pm .003</math> cm. What | |||
fraction of the manufacturer's shafts are likely to be rejected? If the manufacturer | |||
improves her quality control, she can reduce the value of | |||
<math>\sigma</math>. What value of <math>\sigma</math> will ensure that no more than 1 percent of her | <math>\sigma</math>. What value of <math>\sigma</math> will ensure that no more than 1 percent of her | ||
shafts are likely to be rejected? | shafts are likely to be rejected? | ||
Latest revision as of 02:08, 14 June 2024
Bridies' Bearing Works manufactures bearing shafts whose diameters are normally distributed with parameters [math]\mu = 1[/math], [math]\sigma = .002[/math]. The buyer's specifications require these diameters to be [math]1.000 \pm .003[/math] cm. What fraction of the manufacturer's shafts are likely to be rejected? If the manufacturer improves her quality control, she can reduce the value of [math]\sigma[/math]. What value of [math]\sigma[/math] will ensure that no more than 1 percent of her shafts are likely to be rejected?