As part of a quality control process for computer chips, an engineer at a factory randomly samples 219 chips during a week of production to test the current rate of chips with severe defects. She finds that 26 of the chips are defe (a) What population is under consideration in the data set? O the 219 computer chips examined by the engineer O all computer chips ever produced Ⓒall computer chips produced that week. O all computer chips ever produced at this factory O the 26 computer chips found to be defective (b) What parameter is being estimated? O the proportion of all computer chips ever manufactured at the factory that had defects the proportion of computer chips manufactured at the factory during this particular week that had defects O the average number of defective computer chips manufactured per week O the proportion of all computer chips ever manufactured that had defects O the average number of defective computer chips manufactured at this particular factory per week (c) What is the point estimate for the parameter? (Round your answer to three decimal places.) 0.119 ✓ (d) What is the name of the statistic we can use to measure the uncertainty of the point estimate? standard error O sample mean O sample proportion. O sample size (e) Compute the value from part (d) for this context. (Round your answer to four decimal places) 0.0564 x (f) The historical rate of defects is 10%. Should the engineer be surprised by the observed rate of defects during the current week? (Round your answer to two decimal places.) A value of 0.10 is 1.27 ✔ X standard errors way from the point estimate, so she should not be surprised. (9) Suppose the true population value was found to be 10 %. If we use this proportion to recompute the value in part (e) using p0.1 Instead of p, does the resulting value change much (by more than 0.01)? Yes No ✓

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As part of a quality control process for computer chips, an engineer at a factory randomly samples 219 chips during a week of production to test the current rate of chips with severe defects. She finds that 26 of the chips are defective.
(a) What population is under consideration in the data set?
O the 219 computer chips examined by the
engineer
O all computer chips ever produced
Ⓒall computer chips produced that week.
O all computer chips ever produced at this
factory
O the 26 computer chips found to be defective
(b) What parameter is being estimated?
O the proportion of all computer chips ever manufactured at the factory that had defects
the proportion of computer chips manufactured at the factory during this particular week that had
defects
O the average number of defective computer chips manufactured per week
O the proportion of all computer chips ever manufactured that had defects
O the average number of defective computer chips manufactured at this particular factory per week
(c) What is the point estimate for the parameter? (Round your answer to three decimal places.)
0.119
✓
(d) What is the name of the statistic we can use to measure the uncertainty of the point estimate?
standard error
O sample mean
O sample proportion.
O sample size
(e) Compute the value from part (d) for this context. (Round your answer to four decimal places)
0.0564
x
(f) The historical rate of defects is 10%. Should the engineer be surprised by the observed rate of defects during the current week? (Round your answer to two decimal places.)
A value of 0.10 is 1.27
✔
X standard errors way from the point estimate, so she should not be surprised.
(9) Suppose the true population value was found to be 10 %. If we use this proportion to recompute the value in part (e) using p0.1 Instead of p, does the resulting value change much (by more than 0.01)?
Yes
No
✓
Transcribed Image Text:As part of a quality control process for computer chips, an engineer at a factory randomly samples 219 chips during a week of production to test the current rate of chips with severe defects. She finds that 26 of the chips are defective. (a) What population is under consideration in the data set? O the 219 computer chips examined by the engineer O all computer chips ever produced Ⓒall computer chips produced that week. O all computer chips ever produced at this factory O the 26 computer chips found to be defective (b) What parameter is being estimated? O the proportion of all computer chips ever manufactured at the factory that had defects the proportion of computer chips manufactured at the factory during this particular week that had defects O the average number of defective computer chips manufactured per week O the proportion of all computer chips ever manufactured that had defects O the average number of defective computer chips manufactured at this particular factory per week (c) What is the point estimate for the parameter? (Round your answer to three decimal places.) 0.119 ✓ (d) What is the name of the statistic we can use to measure the uncertainty of the point estimate? standard error O sample mean O sample proportion. O sample size (e) Compute the value from part (d) for this context. (Round your answer to four decimal places) 0.0564 x (f) The historical rate of defects is 10%. Should the engineer be surprised by the observed rate of defects during the current week? (Round your answer to two decimal places.) A value of 0.10 is 1.27 ✔ X standard errors way from the point estimate, so she should not be surprised. (9) Suppose the true population value was found to be 10 %. If we use this proportion to recompute the value in part (e) using p0.1 Instead of p, does the resulting value change much (by more than 0.01)? Yes No ✓
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